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# Professor Jon Keating

## Latest publications

- Andrade, JC, Gonek, SM & Keating, J, 2018, ‘Truncated Product Representations for L-Functions in the Hyperelliptic Ensemble’.
*Mathematika*, vol 64., pp. 137-158 - Keating, J, 2017, ‘Random matrices and number theory: some recent themes’. in:
*Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School: Volume 104, July 2015*. - Conrey, B & Keating, JP, 2017, ‘Averages of ratios of the Riemann zeta-function and correlations of divisor sums’.
*Nonlinearity*, vol 30., pp. R67-R80 - Keating, J, Rodgers, B, Roditty-Gershon, E & Rudnick, Z, 2017, ‘Sums of divisor functions in
**F**_{q}[*t*] and matrix integrals’.*Mathematische Zeitschrift*. - Keating, JP & Rudnick, Z, 2016, ‘Squarefree polynomials and möbius values in short intervals and arithmetic progressions’.
*Algebra and Number Theory*, vol 10., pp. 375-420 - Bui, HM, Keating, JP & Smith, DJ, 2016, ‘On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class’.
*Journal of the London Mathematical Society*, vol 94., pp. 161-185 - Keating, JP & Roditty-Gershon, E, 2016, ‘Arithmetic Correlations Over Large Finite Fields’.
*International Mathematics Research Notices*, vol 2016., pp. 860-874 - Conrey, B & Keating, JP, 2016, ‘Pair correlation and twin primes revisited’.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol 472. - Bhargava, M, Cremona, JE, Fisher, T, Jones, NG & Keating, JP, 2016, ‘What is the probability that a random integral quadratic form in nvariables has an integral zero?’.
*International Mathematics Research Notices*, vol 2016., pp. 3828-3848 - Conrey, B & Keating, JP, 2016, ‘Moments of zeta and correlations of divisor-sums: IV’.
*Research in Number Theory*, vol 2.

View complete publications list in the University of Bristol publications system