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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 AccessFile21 Citations (Scopus)214 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 AccessFile22 Citations (Scopus)291 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 AccessFile1 Citation (Scopus)177 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 AccessFile11 Citations (Scopus)191 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 AccessFile4 Citations (Scopus)344 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 AccessFile25 Citations (Scopus)369 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 AccessFile8 Citations (Scopus)346 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 AccessFile5 Citations (Scopus)342 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 AccessFile31 Citations (Scopus)400 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 AccessFile3 Citations (Scopus)454 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 AccessFile13 Citations (Scopus)317 Downloads (Pure) -
2015
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 AccessFile31 Citations (Scopus)375 Downloads (Pure) -
Moments of zeta and correlations of divisor-sums: II
Conrey, B. & Keating, J. P., 2015, Fields Institute Communications. Springer, New York, NY, Vol. 77. p. 75-85 11 p. (Fields Institute Communications; vol. 77).Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book
27 Citations (Scopus) -
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 AccessFile34 Citations (Scopus)362 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 AccessFile2 Citations (Scopus)436 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 AccessFile7 Citations (Scopus)348 Downloads (Pure)