Professor Glyn Harman

  1. 2016
  2. Published

    Products of Small Integers in Residue Classes and Additive Properties of Fermat Quotients

    Harman, G. & Shparlinski, I. E., 19 Jun 2016, In : International Mathematics Research Notices. 2016, 5, p. 1424-1446 23 p.

    Research output: Contribution to journalArticle

  3. Published

    Primes In Beatty Sequences In Short Intervals

    Harman, G., 17 Feb 2016, In : Mathematika. 62, 2, p. 572- 586 14 p.

    Research output: Contribution to journalArticle

  4. 2015
  5. Published

    Primes in Intersections of Beatty Sequences

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

    Research output: Contribution to journalArticle

  6. Published

    On conjectures of T. Ordowski and Z.W. Sun concerning primes and quadratic forms

    Elsholtz, C. & Harman, G., 1 Jan 2015, Analytic Number Theory: In Honor of Helmut Maier's 60th Birthday. Springer International Publishing, p. 65-81 17 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  7. 2013
  8. 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

  9. 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

  10. 2012
  11. 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

  12. 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

  13. 2010
  14. 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

  15. Published

    Diophantine approximation with multiplicative functions

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

    Research output: Contribution to journalArticle

  16. 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

  17. 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)

  18. 2009
  19. 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

  20. 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

  21. 2008
  22. 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

  23. 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

  24. 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

  25. 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

  26. Published

    Watt's mean value theorem and Carmichael numbers

    Harman, G., 2008, In : International Journal of Number Theory. 4, p. 241-–248

    Research output: Contribution to journalArticle

  27. 2007
  28. Published

    Prime-Detecting Sieves

    Harman, G., 2007, Princeton: Princeton University Press. 362 p.

    Research output: Book/ReportBook

  29. 2006
  30. Published

    Diophantine approximation with mild divisibility constraints

    Harman, G., Alkan, E. & Zaharescu, A., 2006, In : Journal of Number Theory. 118, p. 1-14 14 p.

    Research output: Contribution to journalArticle

  31. Published

    On sums of squares of primes

    Harman, G. & Kumchev, A., 2006, In : Math. Proc. Cambridge Phil. Soc.. 140, p. 1-13 13 p.

    Research output: Contribution to journalArticle

  32. Published

    Primes with pre-assigned digits

    Harman, G., 2006, In : Acta Arithmetica. 125, p. 179-185 7 p.

    Research output: Contribution to journalArticle

  33. Published

    The values of additive forms at prime arguments

    Harman, G. & Cook, R. J., 2006, In : Rocky Mountain Journal. 36, p. 1153-1164 12 p.

    Research output: Contribution to journalArticle

  34. 2005
  35. Published

    On the distributional properties of P(n)

    Harman, G., Banks, W. & Shparlinski, I., 2005, In : Michigan Mathematical Journal. 53, p. 665-681 17 p.

    Research output: Contribution to journalArticle

  36. Published

    On the greatest prime factor of p-1 with effective constants

    Harman, G., 2005, In : Math. Comp.. 74, p. 2035-2041 7 p.

    Research output: Contribution to journalArticle

  37. Published

    On the number of Carmichael numbers up to x

    Harman, G., 2005, In : Bulletin of the London Mathematical Society. 37, p. 641-650 10 p.

    Research output: Contribution to journalArticle

  38. 2004
  39. Published

    A new mean-value result for Dirichlet L-functions and polynomials

    Harman, G., Watt, N. & Wong, K., 2004, In : Quarterly J. Math. Oxford,. 55, p. 307-324 18 p.

    Research output: Contribution to journalArticle

  40. Published

    The distribution of prime ideals of imaginary quadratic fields

    Harman, G., Kemal-Hilmi, A. K. & Nodes, P. L., 2004, In : Transactions of the American Mathematical Society. 356, p. 599-620 22 p.

    Research output: Contribution to journalArticle

  41. Published

    The values of ternary quadratic forms at prime arguments

    Harman, G., 2004, In : Mathematika. 51, p. 83-96 14 p.

    Research output: Contribution to journalArticle

  42. 2003
  43. Published

    Simultaneous Diophantine approximation and asymptotic formulae on manifolds

    Harman, G., 2003, In : Acta Arithmetica. 108, p. 379-389

    Research output: Contribution to journalArticle

  44. Published

    Trigonometric sums over primes III

    Harman, G., 2003, In : Journal de Theorie des Nombres de Bordeaux. 15, p. 727-740 14 p.

    Research output: Contribution to journalArticle

  45. 2002
  46. Published

    Metrical theorems on restricted Diophantine approximations to points on a curve

    Harman, G. & Adu-Gyamfi, H. J., 2002, In : Journal of Number Theory. 97, p. 45-57 13 p.

    Research output: Contribution to journalArticle

  47. Published

    Non-linear Diophantine approximation to complex numbers

    Harman, G., 2002, In : Math. Proc. Camb. Phil. Soc.. 133, p. 205-212 8 p.

    Research output: Contribution to journalArticle

  48. Published

    One hundred years of metric number theory

    Harman, G., 2002, Millennial Conference in Number Theory, Illinois. Vol. 2. Peters, A. K. (ed.). p. 149-166 18 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  49. 2001
  50. Published

    Gaussian Primes in narrow sectors

    Harman, G. & Lewis, P., 2001, In : Mathematika. 48, p. 119-135 17 p.

    Research output: Contribution to journalArticle

  51. Published

    Metrical theorems on integer parts of real sequences

    Harman, G., 2001, In : Quart. J. Math. Oxford (2). 52, p. 307-311 5 p.

    Research output: Contribution to journalArticle

  52. Published

    Metrical theorems on prime values of the integer parts of real sequences II

    Harman, G., 2001, In : Journal of the London Mathematical Society. 64, p. 287-298 12 p.

    Research output: Contribution to journalArticle

  53. Published

    On the difference between consecutive primes II

    Harman, G., Baker, R. C. & Pintz, J., 2001, In : Proceedings of the London Mathematical Society. 83, p. 532-562 31 p.

    Research output: Contribution to journalArticle

  54. 2000
  55. Published

    A note on the metrical theory of continued fractions

    Harman, G. & Wong, K. C., 2000, In : American Mathematical Monthly. 107, p. 834-837 4 p.

    Research output: Contribution to journalArticle

  56. Published

    Variants of the second Borel-Cantelli lemma and their applications in Metric Number Theory

    Harman, G., 2000, Number Theory. Bambah, Dumir & Hans-Gill (eds.). Hindustan Book Agency, p. 121-140 20 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  57. 1999
  58. Published

    Integers without large prime factors in short intervals and arithmetic progressions

    Harman, G., 1999, In : Acta Arithmetica. 91, p. 279-289 11 p.

    Research output: Contribution to journalArticle

  59. 1998
  60. Published

    Metric number Theory

    Harman, G., 1998, Oxford: Oxford University Press. 297 p.

    Research output: Book/ReportBook

  61. Published

    On the Erdos-Turan inequality for balls

    Harman, G., 1998, In : Acta Arithmetica. 85, p. 389-396 8 p.

    Research output: Contribution to journalArticle

  62. Published

    Piatetski-Shapiro prime k-tuplets

    Harman, G., 1998, In : Mathematika. 45, p. 351-357 7 p.

    Research output: Contribution to journalArticle

  63. Published

    Shifted primes without large prime factors

    Harman, G. & Baker, R. C., 1998, In : Acta Arithmetica. 83, p. 331-361 31 p.

    Research output: Contribution to journalArticle

  64. Published

    The three primes theorem with almost equal summands

    Harman, G. & Baker, R. C., 1998, In : Phil. Trans. R. Soc. London A. 356, p. 763-780 18 p.

    Research output: Contribution to journalArticle

  65. 1997
  66. Published

    Eratosthenes, Legendre, Vinogradov and Beyond

    Harman, G., 1997, Sieve Methods, Exponential Sums, and their Applications in Number Theory. Cambridge University Press, p. 161-173 13 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  67. Published

    Metrical theorems on prime values of the integer parts of real sequences

    Harman, G., 1997, In : Proceedings of the London Mathematical Society. 75, p. 481-496 16 p.

    Research output: Contribution to journalArticle

  68. Published

    The exceptional set for Goldbach's problem in short intervals

    Harman, G., Baker, R. C. & Pintz, J., 1997, Sieve Methods, Exponential Sums, and their Applications in Number Theory. Cambridge University Press, p. 1-54 54 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  69. 1996
  70. Published

    A problem of Hooley in Diophantine approximation

    Harman, G., 1996, In : Glasgow Math. J.. 38, p. 299-308 10 p.

    Research output: Contribution to journalArticle

  71. Published

    On sparsely totient numbers

    Harman, G. & Baker, R. C., 1996, In : Annales de la Faculte des Sciences de Toulouse (mathematiques) Ser. 6. 5, p. 183-190 8 p.

    Research output: Contribution to journalArticle

  72. Published

    On the distribution of αp modulo one II

    Harman, G., 1996, In : Proceedings of the London Mathematical Society. 72, p. 241-260 20 p.

    Research output: Contribution to journalArticle

  73. Published

    Primes of the form [cp]

    Harman, G. & Baker, R. C., 1996, In : Math. Zeit.. 221, p. 73-81 9 p.

    Research output: Contribution to journalArticle

  74. Published

    Small remainder of a vector to a suitable modulus

    Harman, G. & Baker, R. C., 1996, In : Math. Zeit.. 221, p. 59-71 13 p.

    Research output: Contribution to journalArticle

  75. Published

    The Brun-Titchmarsh Theorem on average

    Harman, G. & Baker, R. C., 1996, Analytic Number Theory: proceedings of a conference held in honor of Heini Halberstam, Vol.1. Birkhauser, Boston, p. 39-103 65 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  76. Published

    The sequence x/n and its subsequences

    Harman, G. & Baker, R. C., 1996, In : Rocky Mountain J. Math.. 26, p. 795-814 20 p.

    Research output: Contribution to journalArticle

  77. 1995
  78. Published

    Numbers badly approximable by fractions with prime denominator

    Harman, G., 1995, In : Math. Proc. Cambridge Phil. Soc.. 118, p. 1-5 5 p.

    Research output: Contribution to journalArticle

  79. Published

    Numbers with a large prime factor

    Harman, G. & Baker, R. C., 1995, In : Acta Arithmetica. 73, p. 119-145 27 p.

    Research output: Contribution to journalArticle

  80. Published

    Primes of the form [nc]

    Harman, G., Baker, R. C. & Rivat, J., 1995, In : Journal of Number Theory. 50, p. 261-277 17 p.

    Research output: Contribution to journalArticle

  81. Published

    Primes of the form [pc] and related questions

    Harman, G. & Rivat, J., 1995, In : Glasgow Math. J.. 37, p. 131-141 11 p.

    Research output: Contribution to journalArticle

  82. Published

    Small fractional parts of additive forms in prime variables

    Harman, G., 1995, In : Quart. J. Math. Oxford (2). 46, p. 321-332 12 p.

    Research output: Contribution to journalArticle

  83. Published

    Towards an arithmetical analysis of the continuum

    Harman, G., 1995, Number Theory. Cambridge University Press, p. 127-138 12 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  84. 1994
  85. Published

    Discrepancy estimates for the value distribution of the Riemann zeta-function

    Harman, G. & Matsumoto, K., 1994, In : Journal of the London Mathematical Society. 50, p. 17-24 8 p.

    Research output: Contribution to journalArticle

  86. 1993
  87. Published

    Metrical theorems on fractional parts of real sequences II

    Harman, G., 1993, In : Journal of Number Theory. 44, p. 47-57 11 p.

    Research output: Contribution to journalArticle

  88. Published

    Simultaneous Diophantine approximation with square-free numbers

    Harman, G., Baker, R. C. & Brudern, J., 1993, In : Acta Arithmetica. 63, p. 51-60 10 p.

    Research output: Contribution to journalArticle

  89. Published

    Small fractional parts of additive forms

    Harman, G., 1993, In : Phil. Trans. R. Soc. London A. 345, p. 327-338 12 p.

    Research output: Contribution to journalArticle

  90. 1991
  91. Published

    Diophantine approximation by prime numbers

    Harman, G., 1991, In : Journal of the London Mathematical Society. 44, p. 218-226 9 p.

    Research output: Contribution to journalArticle

  92. Published

    Exponential sums formed with the Möbius function

    Harman, G. & Baker, R. C., 1991, In : Journal of the London Mathematical Society. 43, p. 193-198 6 p.

    Research output: Contribution to journalArticle

  93. Published

    Fractional and integral parts of pλ

    Harman, G., 1991, In : Acta Arithmetica. 58, p. 141-152 12 p.

    Research output: Contribution to journalArticle

  94. Published

    Mean values of Dirichlet polynomials

    Harman, G. & Balog, A., 1991, In : Archiv der Mathematik. 57, p. 581-587 7 p.

    Research output: Contribution to journalArticle

  95. Published

    On sparsely totient numbers

    Harman, G., 1991, In : Glasgow Math. J.. 33, p. 349-358 10 p.

    Research output: Contribution to journalArticle

  96. Published

    On the distribution of αpk modulo one

    Harman, G. & Baker, R. C., 1991, In : Mathematika. 38, p. 170-184 15 p.

    Research output: Contribution to journalArticle

  97. Published

    Short intervals containing numbers without large prime factors

    Harman, G., 1991, In : Math. Proc. Cambridge Phil. Soc.. 109, p. 1-5 5 p.

    Research output: Contribution to journalArticle

  98. Published

    Sums of two squares in short intervals

    Harman, G., 1991, In : Proceedings of the London Mathematical Society. 62, p. 225-241 17 p.

    Research output: Contribution to journalArticle

  99. Published

    The fractional part of αnk for square-free n

    Harman, G., Baker, R. C. & Brudern, J., 1991, In : Quart. J. Math. Oxford (2). 42, p. 421-431 11 p.

    Research output: Contribution to journalArticle

  100. 1990
  101. Published

    Approximation of real matrices by integral matrices

    Harman, G., 1990, In : Journal of Number Theory. 34, p. 63-81 19 p.

    Research output: Contribution to journalArticle

  102. Published

    Sequences with bounded logarithmic discrepancy

    Harman, G. & Baker, R. C., 1990, In : Math. Proc. Cambridge Phil. Soc.. 107, p. 213-225 13 p.

    Research output: Contribution to journalArticle

  103. Published

    Some cases of the Duffin-Schaeffer conjecture

    Harman, G., 1990, In : Quart. J. Math. Oxford (2). 41, p. 395-404 10 p.

    Research output: Contribution to journalArticle

  104. 1989
  105. Published

    Metric Diophantine approximation with two restricted variables IV

    Harman, G., 1989, In : Acta Arithmetica. 53, p. 207-216 10 p.

    Research output: Contribution to journalArticle

  106. Published

    Metrical theorems on fractional parts of real sequences

    Harman, G., 1989, In : Journal für die reine und angewandte Mathematik. 396, p. 192-211 20 p.

    Research output: Contribution to journalArticle

  107. Published

    Simultaneous Diophantine approximation with primes

    Harman, G., 1989, In : Journal of the London Mathematical Society. 39, p. 405-413 9 p.

    Research output: Contribution to journalArticle

  108. 1988
  109. Published

    Metric Diophantine approximation with two restricted variables I

    Harman, G., 1988, In : Math. Proc. Cambridge Phil. Soc.. 103, p. 197-206 10 p.

    Research output: Contribution to journalArticle

  110. Published

    Metric Diophantine approximation with two restricted variables II

    Harman, G., 1988, In : Mathematika. 35, p. 59-68 10 p.

    Research output: Contribution to journalArticle

  111. Published

    Metric Diophantine approximation with two restricted variables III

    Harman, G., 1988, In : Journal of Number Theory. 29, p. 364-375 12 p.

    Research output: Contribution to journalArticle

  112. 1987
  113. Published

    On averages of exponential sums over primes

    Harman, G., 1987, In : Progress in Mathematics. 70, p. 237-246 10 p.

    Research output: Contribution to journalArticle

  114. 1986
  115. Published

    A problem in the metric theory of Diophantine approximation

    Harman, G., 1986, In : Quart. J. Math. Oxford (2). 37, p. 391-400 10 p.

    Research output: Contribution to journalArticle

  116. Published

    Some theorems in the metric theory of Diophantine approximation

    Harman, G., 1986, In : Math. Proc. Cambridge Phil. Soc.. 99, p. 386-394 9 p.

    Research output: Contribution to journalArticle

  117. Published

    Sums involving common divisors

    Harman, G. & Dyer, T., 1986, In : Journal of the London Mathematical Society. 34, p. 1-11 11 p.

    Research output: Contribution to journalArticle

  118. 1985
  119. Published

    A note on the Möbius and Liouville functions

    Harman, G., Pintz, J. & Wolke, D., 1985, In : Studia Sci. Math. Hung.. 20, p. 295-299 5 p.

    Research output: Contribution to journalArticle

  120. Published

    Diophantine approximation with almost-primes and sums of two squares

    Harman, G., 1985, In : Mathematika. 32, p. 301-310 10 p.

    Research output: Contribution to journalArticle

  121. Published

    Unbalanced quadratic residues and non-residues

    Harman, G. & Baker, R. C., 1985, In : Math. Proc. Cambridge Phil. Soc.. 98, p. 9-17 9 p.

    Research output: Contribution to journalArticle

  122. 1984
  123. Published

    Diophantine approximation with a prime and an almost-prime

    Harman, G., 1984, In : Journal of the London Mathematical Society. 29, p. 13-22 10 p.

    Research output: Contribution to journalArticle

  124. Published

    Diophantine approximation with square-free integers

    Harman, G., 1984, In : Math. Proc. Cambridge Phil. Soc.. 95, p. 381-388 8 p.

    Research output: Contribution to journalArticle

  125. Published

    Diophantine inequalities with mixed powers

    Harman, G. & Baker, R. C., 1984, In : Journal of Number Theory. 18, p. 69-85 17 p.

    Research output: Contribution to journalArticle

  126. 1983
  127. Published

    Numbers with a large prime factor III

    Harman, G., Balog, A. & Pintz, J., 1983, In : Quart. J. Math. Oxford (2). 28, p. 133-140 8 p.

    Research output: Contribution to journalArticle

  128. Published

    Numbers with a large prime factor IV

    Harman, G., Balog, A. & Pintz, J., 1983, In : Journal of the London Mathematical Society. 28, p. 218-226 9 p.

    Research output: Contribution to journalArticle

  129. Published

    On the distribution of √p modulo one

    Harman, G., 1983, In : Mathematika. 30, p. 104-116 13 p.

    Research output: Contribution to journalArticle

  130. Published

    On the distribution of αp modulo one

    Harman, G., 1983, In : Journal of the London Mathematical Society. 27, p. 9-18 10 p.

    Research output: Contribution to journalArticle

  131. Published

    Trigonometric sums over primes II

    Harman, G., 1983, In : Glasgow Math. J.. 24, p. 23-37 15 p.

    Research output: Contribution to journalArticle

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