Research Articles

  1. Distribution of irregular primes, Illinois J. Math. 9 (1965), 553-558. MR31#5861 (L. Carlitz)
  2. A note on the large sieve, J. London Math. Soc. 43 (1968), 93-98. MR37#184 (W. G. H. Schaal)
  3. Mean and large values of Dirichlet polynomials, Invent. Math. 8 (1969), 334-345. MR42#3029 (B. Berlowitz)
  4. Zeros of L-functions, Invent. Math. 8 (1969), 346-354. MR40#2620 (K. Thanigasalam)
  5. Primes in arithmetic progressions, Michigan Math. J. 17 (1970), 33-39. MR41#1660 (W. Schwarz)
  6. (with P. E. Blanksby) Algebraic integers near the unit circle, Acta Arith. 18 (1971), 355-369. MR45#5082 (L. Carlitz)
  7. (with R. C. Vaughan) The large sieve, Mathematika 20 (1973), 119-134. MR51#10260 (J. W. Porter)
  8. The pair correlation of zeros of the zeta function, Analytic Number Theory (St. Louis, 1972), Proc. Sympos. Pure Math. 24, Amer. Math. Soc. (Providence), 1973, pp. 181-193. MR49#2590 (J. Knopfmacher)
  9. (with R. C. Vaughan) Error terms in additive prime number theory, Quart. J. Math. Oxford Ser. (2) 24 (1973), 207-216. MR49#2624 (B. Garrison)
  10. (with P. J. Weinberger) Notes on small class numbers, Acta Arith. 24 (1973/1974), 529-542. MR50#9841 (M. Jutila)
  11. (with R. C. Vaughan) Hilbert's inequality, J. London Math. Soc. (2) 8 (1974), 73-82. MR49#2544 (E. Grosswald)
  12. (with Norman Levinson) Zeros of the derivatives of the Riemann zeta-function, Acta Math. 133 (1974), 49-65. MR54#5135 (B. C. Berndt)
  13. (with R. C. Vaughan) The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370. MR51#10263 (A. Sarkozi)
  14. (with A. Fujii & P. X. Gallagher) Some hybrid bounds for character sums and Dirichlet L-series, Topics in Number Theory (Debrecen, 1974), Colloq. Math. Soc. Janos Bolyai 13, North-Holland (Amsterdam), 1976, pp. 41-57. MR55#7949 (M. Jutila)
  15. Distribution questions concerning a character sum, Topics in Number Theory (Debrecen, 1974), Colloq. Math. Soc. Janos Bolyai 13, North-Holland (Amsterdam), 1976, pp. 195-203. MR55#7942 (K.-H. Indlekofer)
  16. A note on rearrangements of Fourier coefficients, Ann. Inst. Fourier (Grenoble) 26(2) (1976), 29-34. MR53#11292 (E. Grosswald)
  17. (with J. M. Masley) Cyclotomic fields with unique factorization, J. Reine Angew. Math. 286/287 (1976), 248-256. MR55#2834 (W. Johnson)
  18. (with A. Schinzel) Some arithmetic properties of polynomials in several variables, Transcendence theory: advances and applications (Cambridge, 1976), Academic Press (London), 1977, pp. 195-203. MR57#12447 (R. Tijdeman)
  19. (with P. J. Weinberger) Real quadratic fields with large class number, Math. Ann. 225 (1977), 173-176. MR55#306 (M. Jutila)
  20. (with R. C. Vaughan) Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82. MR56#15579 (M. Jutila)
  21. Extreme values of the Riemann zeta function, Comment. Math. Helv. 52 (1977), 511-518. MR57#249 (E. Stankus)
  22. (with H. Niederreiter) Estimation optimale de sommes exponentielles, Bull. Soc. Math. Grèce (N.S.) 18 (1977), 291-301. MR80c:10042 (E. Stankus)
  23. (with J. C. Lagarias & A. M. Odlyzko) A bound for the least prime ideal in the Chebotarev density theorem, Invent. Math. 54 (1979), 271-296. MR81b:12013 (L. J. Goldstein)
  24. (with R. C. Vaughan) Mean values of character sums, Canad. J. Math. 31 (1979), 476-487. MR81c:10043 (H. G. Diamond)
  25. An exponential polynomial formed with the Legendre symbol, Acta Arith. 37 (1980), 375-380. MR82a:10041 (A. I. Vinogradov)
  26. (with R. C. Vaughan) The distribution of squarefree numbers, Recent progress in analytic number theory, Vol.\ 1 (Durham, 1979), Academic Press (London), 1981, pp. 247-256. MR83d:10010 (J.-M. De Koninck)
  27. Maximal variants of the large sieve, J. Fac. Sci. Univ. Tokyo Sect. 1A Math. 28 (1981), 805-812. MR83g:10033 (D. R. Heath-Brown)
  28. (with D. E. Rohrlich) On the L-functions of canonical Hecke characters of imaginary quadratic fields, II, Duke Math. J. 49 (1982), 937-942. MR84e:12014 (R. Bölling)
  29. On a question of Ramachandra, Hardy-Ramanujan J. 5 (1982), 31-36. MR84h:10054 (B. C. Berndt)
  30. (with G. Halász) Bernstein's inequality for finite intervals, Conference on harmonic analysis in honor of Antoni Zygmund, Vol I, II (Chicago, 1981), Wadsworth (Belmont), 1983, pp. 60-65. MR85j:41028
  31. Zeros of approximations to the zeta function, Studies in pure mathematics (to the Memory of Paul Turán), Birkhäuser (Basel), 1983, pp. 497-506. MR87a:11081 (M. Jutila)
  32. (with D. J. Lewis) On zeros of p-adic forms, Michigan Math. J. 30 (1983), 83-87. MR84f:10029 (V. Laohakosol)
  33. (with A. M. Odlyzko) Gaps between zeros of the zeta function, Topics in classical number theory, Vol I, II (Budapest, 1981), Colloq. Math. Soc. János Bolyai 34, North-Holland (Amsterdam), 1984, pp. 1079-1106. MR86e:11072 (A. Perelli)
  34. (with R. C. Vaughan) The order of magnitude of the mth coefficients of cyclotomic polynomials, Glasgow Math. J. 27 (1985), 143-159. MR87e:11026 (T. M. Apostol)
  35. (with R. C. Vaughan) On the distribution of reduced residues, Annals of Math. (2) 123 (1986), 311-333. MR87g:11119 (S. W. Graham)
  36. (with D. A. Goldston) Pair correlation of zeros and primes in short intervals, Analytic number theory and Diophantine problems (Stillwater, 1984), Progr. Math. 70, Birkhäuser (Boston), 1987, pp. 183-203. MR90h:11084 (A. Ivić)
  37. Fluctuations in the mean of Euler's phi function, Proc. Indian Acad. Sci. Math. Sci. 97 (1987), 239-245. MR90e:11138 (A. Ivić)
  38. Prime-like sequences, Acta Arith. 49 (1988), 277-280. MR89c:11038 (F. Roesler)
  39. Minimal theta functions, Glasgow Math. J. 30 (1988), 75-85. MR89d:11029 (S. Böcherer)
  40. (with A. M. Odlyzko) Large deviations of sums of independent random variables, Acta Arith. 49 (1988), 427-434. MR89m:11075 (A. Laurincikas)
  41. Irregularities of distribution by means of power sums, Proc. Congress on Number Theory (Zarauz, 1984), Univ. País Vasco (Bilbao), 1989, pp. 11-27. MR93m:11072 (D. Hensley)
  42. (with R. C. Vaughan) A basic inequality, Proc. Congress on Number Theory (Zarauz, 1984), Univ. País Vasco (Bilbao), 1989, pp. 163-175. MR94a:11154 (J. D. Vaaler)
  43. (with J. D. Vaaler) Maximal variants of basic inequalities, Proc. Congress on Number Theory (Zarauz, 1984), Univ. País Vasco (Bilbao), 1989, pp. 181-197. MR94d:11062 (E. Stankus)
  44. (with D. W. Boyd) Cyclotomic partitions, Number Theory (Banff, 1988), de Gruyter (Berlin), 1990, pp. 331-338. MR92b:11073 (A. J. Hildebrand)
  45. (with R. C. Baker) Oscillations of quadratic L-functions, Analytic number theory (Allerton Park, 1989), Progr. Math. 84, Birkhäuser (Boston), 1990, pp. 23-40. MR91k:11071 (M. Jutila)
  46. (with R. C. Vaughan) On the Erdős-Fuchs theorems, A tribute to Paul Erdős, Cambridge Univ. Press (Cambridge), 1990, pp. 331-338. MR92f:11128 (K. W. Lau)
  47. (with B. Beauzamy, E. Bombieri, P. Enflo) Products of polynomials in many variables, J. Number Theory 36 (1990), 219-245. MR91m:11015 (F. Beukers)
  48. Distribution of small powers of a primitive root, Advances in number theory (Kingston, 1991), Oxford Sci. Publ., Oxford Univ. Press (New York), 1993, pp. 137-149. MR96j:11112 (D. R. Heath-Brown)
  49. (with R. C. Vaughan & T. D. Wooley) Some remarks on Gauss sums associated with kth powers, Math. Proc. Cambridge Philos. Soc. 118 (1995), 21-33. MR96e:11110 (R. J. Cook)
  50. (with J. D. Vaaler) A further generalization of Hilbert's inequality, Mathematika 45 (1998), 35-39. MR2001c:11105 (S. W. Graham)
  51. (with P. Erdős) Sums of numbers with many divisors, J. Number Theory 75 (1999), 1-6. MR99k:11153 (J. Wu)
  52. (with R. C. Vaughan) Extreme values of Dirichlet L-functions at 1, Number theory in progress, Vol. 2 (Zakopane-Koscielisko, 1997), de Gruyter (Berlin), 1999, pp. 1039-1052. MR2000m:11075 (K. Soundararajan)
  53. (with J. T. Barton & J. D. Vaaler) Note on a Diophantine inequality in several variables, Proc. Amer. Math. Soc. 129 (2001), 337-345. MR2002j:11090 (R. C. Baker)
  54. (with D. A. Goldston & S. M. Gonek) Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals, J. Reine Angew. Math. 537 (2001), 105-126. MR2003a:11108 (D. W. Farmer)
  55. (with R. C. Vaughan) Mean values of multiplicative functions, Period. Math. Hungar. 43 (2001), 199-214. MR2002e:11130 (J. Steuding)
  56. (with K. Soundararajan) Beyond pair correlation, Paul Erdős and his mathematics, Vol. I (Budapest, 1999), Math. Studies 11, Bolyai Society (Budapest), 2002, pp. 507-514. MR2004b:11133 (J. B. Friedlander)
  57. (with U. M. A. Vorhauer) Greedy sums of distinct squares, Math. Comp. 73 (2004), 493-513. MR2005b:11026 (P. J. Grabner)
    Ten GREEDY SUMS DOS programs (source code and executables) in a self-extracting .zip file (200 Kb)
  58. (with K. Soundararajan) Primes in short intervals, Comm. Math. Phys. 252 (2004), 589-617. MR2005f:11205 (T. H. Chan)
  59. (with H. G. Diamond & U. M. A. Vorhauer) Beurling primes with large oscillation, Math. Ann. 334 (2006), 1-36. MR2006j:11131 (A. Sankaranarayanan)
  60. (with U. M. A. Vorhauer) Changes of sign of the error term in the prime number theorem, Funct. Approx. Comment. Math. 35 (2006), 235-247. MR2008c:11123 (N. Watt)
  61. (with R. C. Vaughan) Local variation of Euler products, Funct. Approx. Comment. Math. 39 (2008), 273-288. MR2010h:11157 (A. Sankaranarayanan)
  62. (with H. Maier) The sum of the Möbius function, Bull. London Math. Soc. 41 (2009), 213-226. MR2010b:11131 (T. H. Chan)
  63. The combinatorics of moment calculations, Hardy-Ramanujan J. 33 (2010), 2-22.
  64. (with P. X. Gallagher) A note on Burgess's estimate (Russian), Mat. Zametki 88 (2010), 355-364; English translation in Math. Notes 88 (2010), 321-329.
  65. On a random minimax (Russian), Uspekhi Mat. Nauk 66 (2011), 217-222; English translation in Russian Math. Surveys 66 (2011), 421--426.
  66. (with S. M. Gonek) Zeros of a family of approximations of the Riemann zeta-function, Int. Mat. Res. Not. IMRN 2012, rns187, 22 pp.; doi: 10.1093/imrn/rns187.
  67. (with J. G. Thompson) Geometric properties of the zeta function, Acta Arith. 155 (2012), 373-396.
  68. (with G. Tenenbaum) Low moments of Dirichlet series, Acta Math. Hungar. 144 (2014), 425--432.