Skip to main navigation Skip to search Skip to main content

L-functions and modular forms

  • Keating, Jon P (Co-Principal Investigator)
  • Booker, Andrew R (Principal Investigator)
  • 15 Article (Academic Journal)
  • 1 Chapter in a book
Filter
Article (Academic Journal)

Search results

  • 2019

    A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions

    Basor, E., Bleher, P., Buckingham, R., Grava, T., Its, A., Its, E. & Keating, J. P., 13 Sept 2019, In: Nonlinearity. 32, 10, p. 4033-4078 47 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    22 Citations (Scopus)
    223 Downloads (Pure)

  • Moments of zeta and correlations of divisor-sums: V

    Conrey, B. & Keating, J., 1 Apr 2019, In: Proceedings of the London Mathematical Society. 118, 4, p. 729-752 24 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    23 Citations (Scopus)
    299 Downloads (Pure)

  • Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree 0-functions in Fq[t]

    Roditty-Gershon, E., Hall, C. & Keating, J. P., 24 Dec 2019, In: International Journal of Number Theory. 16, 5, p. 1013-1030 18 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    1 Citation (Scopus)
    207 Downloads (Pure)

  • 2018

    Extreme values of CUE characteristic polynomials: A numerical study

    Fyodorov, Y. V., Gnutzmann, S. & Keating, J. P., 16 Nov 2018, In: Journal of Physics A: Mathematical and Theoretical. 51, 46, 23 p., 464001.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    11 Citations (Scopus)
    198 Downloads (Pure)

  • 2016

    Arithmetic Correlations Over Large Finite Fields

    Keating, J. P. & Roditty-Gershon, E., Mar 2016, In: International Mathematics Research Notices. 2016, 3, p. 860-874 15 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    4 Citations (Scopus)
    369 Downloads (Pure)

  • Moments of zeta and correlations of divisor-sums: IV

    Conrey, B. & Keating, J. P., Dec 2016, In: Research in Number Theory. 2, 24 p., 24.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    25 Citations (Scopus)
    377 Downloads (Pure)

  • On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class

    Bui, H. M., Keating, J. P. & Smith, D. J., 1 Aug 2016, In: Journal of the London Mathematical Society. 94, 1, p. 161-185 25 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    8 Citations (Scopus)
    362 Downloads (Pure)

  • Pair correlation and twin primes revisited

    Conrey, B. & Keating, J. P., Oct 2016, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472, 2194, 11 p., 20160548.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    5 Citations (Scopus)
    352 Downloads (Pure)

  • Squarefree polynomials and möbius values in short intervals and arithmetic progressions

    Keating, J. P. & Rudnick, Z., 16 Mar 2016, In: Algebra and Number Theory. 10, 2, p. 375-420 46 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    33 Citations (Scopus)
    421 Downloads (Pure)

  • The Euclid-Mullin graph

    Booker, A. R. & Irvine, S., Aug 2016, In: Journal of Number Theory. 165, p. 30-57 28 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    3 Citations (Scopus)
    472 Downloads (Pure)

  • What is the probability that a random integral quadratic form in nvariables has an integral zero?

    Bhargava, M., Cremona, J. E., Fisher, T., Jones, N. G. & Keating, J. P., 9 Sept 2016, In: International Mathematics Research Notices. 2016, 12, p. 3828-3848 21 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    14 Citations (Scopus)
    349 Downloads (Pure)

  • 2015

    Moments of zeta and correlations of divisor-sums: I

    Conrey, B. & Keating, J. P., 23 Mar 2015, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 373, 2040, 20140313.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    35 Citations (Scopus)
    372 Downloads (Pure)

  • Moments of zeta and correlations of divisor-sums: III

    Conrey, J. B. & Keating, J. P., 1 Dec 2015, In: Indagationes Mathematicae. 26, 5, p. 736-747 12 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    31 Citations (Scopus)
    398 Downloads (Pure)

  • Number fields and function fields: Coalescences, contrasts and emerging applications

    Keating, J. P., Rudnick, Z. & Wooley, T. D., 28 Apr 2015, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 373, 2040, 4 p., 20140315.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    2 Citations (Scopus)
    458 Downloads (Pure)

  • 2014

    Zeros of L-functions outside the critical strip

    Booker, A. R. & Thorne, F., Dec 2014, In: Algebra and Number Theory. 8, 9, p. 2027-2042 16 p.

    Research output: Contribution to journal › Article (Academic Journal) › peer-review

    Open Access
    File
    7 Citations (Scopus)
    386 Downloads (Pure)