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  1. 2020
  2. E-pub ahead of print

    Rational lines on cubic hypersurfaces

    Brandes, J. & Dietmann, R., 24 Apr 2020, In : Mathematical Proceedings of the Cambridge Philosophical Society. p. 1-14 14 p.

    Research output: Contribution to journalArticle

  3. E-pub ahead of print

    Symmetrizable matrices, quotients, and the trace problem

    McKee, J. & Smyth, C., 15 Apr 2020, In : Linear Algebra and Its Applications. 600, p. 60-81 22 p.

    Research output: Contribution to journalArticle

  4. Forthcoming

    Symmetrizable integer matrices having all their eigenvalues in the interval [-2,2]

    Smyth, C. & McKee, J., 11 Feb 2020, (Accepted/In press) In : Algebraic Combinatorics.

    Research output: Contribution to journalArticle

  5. 2019
  6. Forthcoming

    Counting lattice points and weak admissibility for a lattice and its dual

    Technau, N. & Widmer, M., 5 Sep 2019, (Accepted/In press) In : Israel Journal of Mathematics.

    Research output: Contribution to journalArticle

  7. 2018
  8. Published

    A contraction theorem for the largest eigenvalue of a multigraph

    McKee, J., 15 Nov 2018, In : Linear Algebra and Its Applications. 557, p. 339-349 11 p.

    Research output: Contribution to journalArticle

  9. Published

    Average bounds for the ℓ-torsion in class groups of cyclic extensions

    Frei, C. & Widmer, M., 10 Aug 2018, In : Research in Number Theory. 4, p. 1-25 25 p., 34.

    Research output: Contribution to journalArticle

  10. Published

    Weak admissibility, primitivity, o-minimality, and Diophantine approximation

    Widmer, M., 17 Apr 2018, In : Mathematika. 64, 2, p. 475-496 22 p.

    Research output: Contribution to journalArticle

  11. Published

    Bounds for the ℓ‐torsion in class groups

    Widmer, M., Feb 2018, In : Bulletin of the London Mathematical Society. 50, 1, p. 124-131 8 p.

    Research output: Contribution to journalArticle

  12. Published

    Sums of two numbers having only prime factors congruent to one modulo four

    Dietmann, R. & Elsholtz, C., 2018, Proceedings of the Number Theory Week 2017 conference: Banach Center Publications.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  13. 2017
  14. Published

    Prescribing the binary digits of squarefree numbers and quadratic residues

    Dietmann, R., Elsholtz, C. & Shparlinski, I. E., 1 Dec 2017, In : Transactions of the American Mathematical Society. 369, 12, p. 8369-8388 20 p.

    Research output: Contribution to journalArticle

  15. E-pub ahead of print

    On Hilbert's irreducibility theorem

    Castillo, A. & Dietmann, R., 9 Aug 2017, In : Acta Arithmetica. 180, p. 1-14 14 p.

    Research output: Contribution to journalArticle

  16. Published

    On the h-invariant of Cubic Forms, and Systems of Cubic Forms

    Dietmann, R., Jun 2017, In : Quarterly Journal of Mathematics. 68, 2, p. 485-501 17 p.

    Research output: Contribution to journalArticle

  17. Published

    Asymptotic diophantine approximation: the multiplicative case

    Widmer, M., May 2017, In : Ramanujan Journal. 43, 1, p. 83-93 11 p.

    Research output: Contribution to journalArticle

  18. 2016
  19. Published

    Sums of two squares and a power

    Dietmann, R. & Elsholtz, C., 31 Dec 2016, From arithmetic to zeta-functions. Springer, [Cham], p. 103-108 6 p.

    Research output: Chapter in Book/Report/Conference proceedingOther contribution

  20. Published

    Random congruences

    Brüdern, J. & Dietmann, R., 1 Mar 2016, In : Indagationes Mathematicae. 27, 2, p. 480-487 8 p.

    Research output: Contribution to journalArticle

  21. Published

    Salem numbers of trace -2, and a conjecture of Estes and Guralnick

    McKee, J. & Yatsyna, P., Mar 2016, In : Journal of Number Theory. 160, p. 409–417 9 p.

    Research output: Contribution to journalArticle

  22. Published

    Schanuel's theorem for heights defined via extension fields

    Frei, C. & Widmer, M., 25 Feb 2016, In : Annali della Scuola Normale Superiore di Pisa-Classe di Scienze. XV, p. 355-398 44 p.

    Research output: Contribution to journalArticle

  23. Published

    Primes In Beatty Sequences In Short Intervals

    Harman, G., 17 Feb 2016, In : Mathematika. 62, 2, p. 572-586 15 p.

    Research output: Contribution to journalArticle

  24. Published

    Integral Points of Fixed Degree and Bounded Height

    Widmer, M., 1 Jan 2016, In : International Mathematics Research Notices. 2016, 13, p. 3906-3943 38 p.

    Research output: Contribution to journalArticle

  25. 2015
  26. Published

    Number fields without small generators

    Widmer, M. & Vaaler, J., Nov 2015, In : Mathematical Proceedings of the Cambridge Philosophical Society. 159, 3, p. 379-385 7 p.

    Research output: Contribution to journalArticle

  27. Published

    Primes in Intersections of Beatty Sequences

    Harman, G., 4 Jul 2015, In : Journal of Integer Sequences. 18, 7, p. 1-12 12 p., 15.7.3.

    Research output: Contribution to journalArticle

  28. Published

    Weyl's inequality and systems of forms

    Dietmann, R., 1 Mar 2015, In : Quarterly Journal of Mathematics. 66, 1, p. 97-110 14 p.

    Research output: Contribution to journalArticle

  29. Published

    Hilbert cubes in arithmetic sets

    Dietmann, R. & Elsholtz, C., 2015, In : Revista Matemática Iberoamericana. 31, 4, p. 1477-1498 22 p.

    Research output: Contribution to journalArticle

  30. Unpublished

    Integral quadratic points of bounded height

    Widmer, M. & Dietmann, R., 2015, (Unpublished).

    Research output: Working paper

  31. Published

    Random Thue and Fermat equations

    Dietmann, R., 2015, In : Acta Arithmetica. 167, p. 189-200 12 p.

    Research output: Contribution to journalArticle

  32. Published

    Rational points on intersections of cubic and quadric hypersurfaces--corrigendum [ MR3394125]

    Browning, T. D., Dietmann, R. & Heath-Brown, D. R., 2015, In : Journal of the Institute of Mathematics of Jussieu. 14, 4, p. 751 1 p.

    Research output: Contribution to journalArticle

  33. 2014
  34. Published

    Rational points on intersections of cubic and quadric hypersurfaces

    Browning, T. D., Dietmann, R. & Heath-Brown, D. R., 5 Jun 2014, In : Journal of the Institute of Mathematics of Jussieu. 14, 4, p. 703-749 47 p.

    Research output: Contribution to journalArticle

  35. Published

    A trace bound for positive definite connected integer symmetric matrices

    McKee, J. & Yatsyna, P., 1 Mar 2014, In : Linear Algebra and Its Applications. 444, p. 227-230 4 p.

    Research output: Contribution to journalArticle

  36. Published

    A classification of all 1-Salem graphs

    McKee, J. & Gumbrell, L., 2014, In : LMS Journal of Computation and Mathematics. 17, 1, p. 582-594 13 p.

    Research output: Contribution to journalArticle

  37. Published

    Non-Bipartite Graphs of Small Mahler Measure

    McKee, J., Cooley, J. & Smyth, C., 2014, In : Journal of Combinatorics and Number Theory. 5, 2, p. 53-64 12 p.

    Research output: Contribution to journalArticle

  38. Published

    Random Diophantine equations, I

    Brüdern, J. & Dietmann, R., 2014, In : Advances in Mathematics. 256, p. 18-45 28 p.

    Research output: Contribution to journalArticle

  39. Published

    The density of twins of $k$-free numbers

    Dietmann, R. & Marmon, O., 2014, In : Bulletin of the London Mathematical Society. 46, 4, p. 818-826 9 p.

    Research output: Contribution to journalArticle

  40. 2013
  41. Published

    The Duffin-Schaeffer Conjecture with extra divergence II

    Harman, G., Beresnevich, V., Haynes, A. & Velani, S., 1 Oct 2013, In : Math. Zeit.. 275, p. 127–133 7 p.

    Research output: Contribution to journalArticle

  42. Published

    Counting lattice points and o-minimal structures

    Barroero, F. & Widmer, M., 10 Jun 2013, In : International Mathematics Research Notices.

    Research output: Contribution to journalArticle

  43. Published

    Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

    McKee, J. & Smyth, C., 1 May 2013, In : Central European Journal of Mathematics. 11, 5, p. 882-899

    Research output: Contribution to journalArticle

  44. Published

    On the Montgomery-Hooley Theorem in Short Intervals

    Harman, G., Jan 2013, In : Mathematika. 59, p. 129-139 11 p.

    Research output: Contribution to journalArticle

  45. Published

    Counting points of fixed degree and given height over function fields

    Thunder, J. L. & Widmer, M., 2013, In : Bulletin of the London Mathematical Society. 45, 2, p. 283-300 24 p.

    Research output: Contribution to journalArticle

  46. Published

    Deformations and rigidity of lattices in solvable Lie groups

    Baues, O. & Klopsch, B., 2013, In : Journal of Topology.

    Research output: Contribution to journalArticle

  47. Published

    On gaps between primitive roots in the Hamming metric

    Dietmann, R., Elsholtz, C. & Shparlinski, I. E., 2013, In : Quarterly Journal of Mathematics. 64, 4, p. 1043-1055 13 p.

    Research output: Contribution to journalArticle

  48. Published

    On gaps between quadratic non-residues in the Euclidean and Hamming metrics

    Dietmann, R., Elsholtz, C. & Shparlinski, I. E., 2013, In : Indag. Math. (N.S.). 24, 4, p. 930-938 9 p.

    Research output: Contribution to journalArticle

  49. Published

    On the Erdős–Falconer distance problem for two sets of different size in vector spaces over finite fields

    Dietmann, R., 2013, In : Monatshefte für Mathematik. 170, 3-4, p. 343-359

    Research output: Contribution to journalArticle

  50. Published

    On the Northcott property and other properties related to polynomial mappings

    Widmer, M. & Checcoli, S., 2013, In : Mathematical Proceedings of the Cambridge Philosophical Society. 155, 1

    Research output: Contribution to journalArticle

  51. Published

    On the representation of quadratic forms by quadratic forms

    Dietmann, R. & Harvey, M., 2013, In : Michigan Math. J.. 62, 4, p. 869-889 21 p.

    Research output: Contribution to journalArticle

  52. Published

    Probabilistic Galois theory

    Dietmann, R., 2013, In : Bulletin of the London Mathematical Society. 45, 3, p. 453-462 10 p.

    Research output: Contribution to journalArticle

  53. Published

    Representation zeta functions of compact p-adic analytic groups and arithmetic groups

    Avni, N., Klopsch, B., Onn, U. & Voll, C., 2013, In : Duke Mathematical Journal. 162, 1, p. 111-197

    Research output: Contribution to journalArticle

  54. Published

    Small zeros of homogeneous cubic congruences

    Dietmann, R., 2013, Diophantine methods, lattices, and arithmetic theory of quadratic forms. Amer. Math. Soc., Providence, RI, Vol. 587. p. 59-68 10 p. (Contemp. Math.).

    Research output: Chapter in Book/Report/Conference proceedingOther contribution

  55. 2012
  56. Published

    Constructing k-radius sequences

    R. Blackburn, S. & F. McKee, J., Oct 2012, In : Mathematics of Computation. 81, 280, p. 2439-2459

    Research output: Contribution to journalArticle

  57. Published

    Random Diophantine inequalities of additive type

    Brüdern, J. & Dietmann, R., 1 Apr 2012, In : Advances in Mathematics. 229, 6, p. 3079-3095

    Research output: Contribution to journalArticle

  58. Published

    Least zero of a cubic form

    Browning, T. D., Dietmann, R. & Elliott, P. D. T. A., Mar 2012, In : Mathematische Annalen. 352, 3, p. 745-778

    Research output: Contribution to journalArticle

  59. Published

    On the distribution of Galois groups

    Dietmann, R., Jan 2012, In : Mathematika. 58, 1, p. 35-44

    Research output: Contribution to journalArticle

  60. Published

    A note on generators of number fields

    Widmer, M. & Vaaler, J., 2012, In : Contemporary Mathematics. 587

    Research output: Contribution to journalArticle

  61. Unpublished

    Arithmetic groups, base change and representation growth

    Avni, N., Klopsch, B., Onn, U. & Voll, C., 2012, (Unpublished) In : Preprint.

    Research output: Contribution to journalArticle

  62. Published

    Counting primes whose sum of digits is prime

    Harman, G., 2012, In : Journal of Integer Sequences. 15, p. 1 7 p., 12.2.2.

    Research output: Contribution to journalArticle

  63. Published

    Hilbert cubes in progression-free sets and in the set of squares

    Dietmann, R. & Elsholtz, C., 2012, In : Israel Journal of Mathematics. 192, 1, p. 59-66

    Research output: Contribution to journalArticle

  64. Published

    Integer symmetric matrices of small spectral radius and small Mahler measure

    McKee, J. & Smyth, C., 2012, In : International Mathematics Research Notices. 2012, 1, p. 102-136 35 p.

    Research output: Contribution to journalArticle

  65. Published

    Lipschitz class, narrow class, and counting lattice points

    Widmer, M., 2012, In : Proceedings of the American Mathematical Society. 140, 2

    Research output: Contribution to journalArticle

  66. Published

    Primes whose sum of digits is prime and metric number theory

    Harman, G., 2012, In : Bulletin of the London Mathematical Society. 44, 5, p. 1042-1049

    Research output: Contribution to journalArticle

  67. Published

    Representation zeta functions of some compact p-adic analytic groups

    Avni, N., Klopsch, B., Onn, U. & Voll, C., 2012, Zeta Functions in Algebra and Geometry. Campillo, A., Cardona, G., Melle-Hernández, A., Veys, W. & Zúñiga-Galindo, W. A. (eds.). American Mathematical Society, p. 295-330 (Contemporary Mathematics; vol. 566).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

  68. Published

    Salem numbers and Pisot numbers via interlacing

    McKee, J. & Smyth, C., 2012, In : Canadian Journal of Mathematics. 64, 2, p. 345-367 23 p.

    Research output: Contribution to journalArticle

  69. Published

    Salem numbers and Pisot numbers via interlacing

    McKee, J. & Smyth, C., 2012, In : Canadian Journal of Mathematics. 64, 2, p. 345-367

    Research output: Contribution to journalArticle

  70. 2011
  71. Published

    Computing totally positive algebraic integers of small trace

    McKee, J., Apr 2011, In : Mathematics of Computation. 80, 274, p. 1041 1052 p.

    Research output: Contribution to journalArticle

  72. Published

    On w-maximal groups

    Gonzalez-Sanchez, J. & Klopsch, B., 15 Feb 2011, In : Journal of Algebra. 328, p. 155-166

    Research output: Contribution to journalArticle

  73. Published

    Lectures on Profinite Topics in Group Theory

    Klopsch, B., Nikolov, N. & Voll, C., 2011, Cambridge University Press. 158 p. (London Mathematical Society Student Texts; no. 77)

    Research output: Book/ReportBook

  74. Published

    On certain infinite extensions of the rationals with Northcott property

    Widmer, M., 2011, In : Monatshefte für Mathematik. 162, 3

    Research output: Contribution to journalArticle

  75. Published

    On number fields with nontrivial subfields

    Widmer, M., 2011, In : International Journal of Number Theory. 7, 3

    Research output: Contribution to journalArticle

  76. Published

    On the distribution of the coefficients of normal forms for Frobenius expansions

    McKee, J., Galbraith, S., Avanzi, R. & Benits, W., 2011, In : Designs, Codes and Cryptography. 61, 1, p. 71-89

    Research output: Contribution to journalArticle

  77. Published

    On the gaps between values of binary quadratic forms

    Brüdern, J. & Dietmann, R., 2011, In : Proceedings of the Edinburgh Mathematical Society (Series 2). 54, 2, p. 25 32 p.

    Research output: Contribution to journalArticle

  78. Published

    On the rank of compact p-adic Lie groups

    Klopsch, B., 2011, In : Archiv der Mathematik. 96, p. 321-333

    Research output: Contribution to journalArticle

  79. Published

    Pro-p groups with constant generating number on open subgroups

    Klopsch, B. & Snopce, I., 2011, In : Journal of Algebra. 331, p. 263-270

    Research output: Contribution to journalArticle

  80. 2010
  81. Published

    Counting primitive points of bounded height

    Widmer, M., Sep 2010, In : Transactions of the American Mathematical Society. 362, 9, p. 4793-4829 38 p.

    Research output: Contribution to journalArticle

  82. Published

    On sums of squares of primes II

    Harman, G. & Kumchev, A., Sep 2010, In : Journal of Number Theory. 130, 9, p. 1969-2002 34 p.

    Research output: Contribution to journalArticle

  83. Published

    On representation zeta functions of groups and a conjecture of Larsen-Lubotzky

    Avni, N., Klopsch, B., Onn, U. & Voll, C., Apr 2010, In : Comptes Rendus Mathematique. 348, 7-8, p. 363-367 5 p.

    Research output: Contribution to journalArticle

  84. Published

    Automorphism groups of cyclic codes

    Bienert, R. & Klopsch, B., Feb 2010, In : Journal of Algebraic Combinatorics. 31, 1, p. 33-52 20 p.

    Research output: Contribution to journalArticle

  85. Published

    Galois theory of Salem polynomials

    Christopoulos, C. & Mckee, J., Jan 2010, In : Mathematical Proceedings of the Cambridge Philosophical Society. 148, p. 47-54 8 p.

    Research output: Contribution to journalArticle

  86. Published

    A Birch-Goldbach theorem

    Brüdern, J., Dietmann, R., Liu, J. Y. & Wooley, T. D., 2010, In : Archiv der Mathematik. 94, 1, p. 53-58 6 p.

    Research output: Contribution to journalArticle

  87. Published

    Counting points of fixed degree and bounded height on linear varieties

    Widmer, M., 2010, In : Journal of Number Theory. 130, 8

    Research output: Contribution to journalArticle

  88. Published

    Diophantine approximation with multiplicative functions

    Harman, G., 2010, In : Monatshefte für Mathematik. 160, p. 51-57 7 p.

    Research output: Contribution to journalArticle

  89. Published

    Linear spaces on rational hypersurfaces of odd degree

    Dietmann, R., 2010, In : Bulletin of the London Mathematical Society. 42, 5, p. 891-895 5 p.

    Research output: Contribution to journalArticle

  90. Published

    Small generators of function fields

    Widmer, M., 2010, In : Journal de Theorie des Nombres de Bordeaux. 22, 3

    Research output: Contribution to journalArticle

  91. Published

    Small-span characteristic polynomials of integer symmetric matrices

    McKee, J., 2010, ANTS IX. p. 272-286 (Lecture Notes in Computer Science; vol. 6197).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  92. Published

    Variations on the Koksma-Hlawka Inequality

    Harman, G., 2010, In : Uniform Distribution Theory. 5, p. 65-78 14 p.

    Research output: Contribution to journalArticle

  93. Published

    Weyl's theorem in the measure theory of numbers

    Harman, G., Baker, R. & Coatney, R., 2010, Dependence in probability, analysis and number theory. Berkes, I., Bradley, R., Dehling, H., Peligrad, M. & Tichy, R. (eds.). Heber city: Kendrick Press, p. 51-72

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

  94. 2009
  95. Published

    Sums of smooth squares

    Blomer, V., Brüdern, J. & Dietmann, R., Nov 2009, In : Compositio Mathematica. 145, 6, p. 1401-1441 41 p.

    Research output: Contribution to journalArticle

  96. Published

    Zeta functions of three-dimensional p-adic Lie algebras

    Klopsch, B. & Voll, C., Sep 2009, In : Mathematische Zeitschrift. 263, 1, p. 195-210 16 p.

    Research output: Contribution to journalArticle

  97. Published

    Igusa-type functions associated to finite formed spaces and their functional equations

    Klopsch, B. & Voll, C., Aug 2009, In : Transactions of the American Mathematical Society. 361, 8, p. 4405-4436 32 p.

    Research output: Contribution to journalArticle

  98. Published

    Analytic pro-p groups of small dimensions

    González-Sánchez, J. & Klopsch, B., Apr 2009, In : Journal of Group Theory. 12, 5, p. 711-734 24 p.

    Research output: Contribution to journalArticle

  99. Published

    Generating abelian groups by addition only

    Klopsch, B. & Lev, V. F., Jan 2009, In : Forum Mathematicum. 21, 1, p. 23-41 19 p.

    Research output: Contribution to journalArticle

  100. Published

    Numbers with a large prime factor II

    Harman, G. & Baker, R. C., 2009, Analytic Number Theory: Essays in honour of Klaus Roth. Cambridge University Press, p. 1-14 14 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  101. Published

    On exponential sums studied by Indlekofer and Kátai

    Harman, G., 2009, In : Acta Mathematica Hungarica. 124, p. 289-298 10 p.

    Research output: Contribution to journalArticle

  102. Published

    Small zeros of quadratic forms avoiding a finite number of prescribed hyperplanes

    Dietmann, R., 2009, In : Canadian Mathematical Bulletin. 52, 1, p. 63-65 3 p.

    Research output: Contribution to journalArticle

  103. Published

    Solubility of Fermat equations

    Browning, T. D. & Dietmann, R., 2009, Quadratic forms---algebra, arithmetic, and geometry. Vol. 493. p. 99-106 8 p. (Contemp. Math.; vol. 493).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  104. 2008
  105. Published

    On the representation of integers by quadratic forms

    Browning, T. D. & Dietmann, R., 2008, In : Proceedings of the London Mathematical Society. 96, 2, p. 389-416 28 p.

    Research output: Contribution to journalArticle

  106. Published

    On values of n2 + 1 free of large prime factors

    Harman, G., 2008, In : Archiv der Mathematik. 90, p. 239-245 7 p.

    Research output: Contribution to journalArticle

  107. Published

    Prime divisors of quadratic sequences

    Harman, G. & Everest, G., 2008, Number Theory and Polynomials,. p. 142-155 14 p. (LMS Lecture Notes).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  108. Published

    Primes with preassigned digits II

    Harman, G. & Kátai, I., 2008, In : Acta Arithmetica. 133, 2, p. 171-184 14 p.

    Research output: Contribution to journalArticle

  109. Published

    Representation Zeta functions of compact p-adic Lie groups

    Klopsch, B., 2008, Unkown Publisher. (Oberwolfach Reports; no. 28)

    Research output: Book/ReportOther report

  110. Published

    Simultaneous Diophantine approximation by square-free numbers

    Dietmann, R., 2008, In : Quarterly Journal of Mathematics. 59, 3, p. 311-319 9 p.

    Research output: Contribution to journalArticle

  111. Published

    Some problems of analytic number theory on arithmetic semigroups

    Harman, G. & Matomäki, K., 2008, In : Functiones et Approximatio Commentarii Mathematici. 38, p. 21-40 20 p.

    Research output: Contribution to journalArticle

  112. Published

    Sums of two squares and one biquadrate

    Dietmann, R. & Elsholtz, C., 2008, In : Functiones et Approximatio Commentarii Mathematici. 38, , part 2, p. 233-234 2 p.

    Research output: Contribution to journalArticle

  113. Published

    Systems of cubic forms

    Dietmann, R., 2008, In : Journal of the London Mathematical Society. 77, 3, p. 666-686 21 p.

    Research output: Contribution to journalArticle

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