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20002023
most citedFreezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function

156 citations · 1.4k across the 59 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.NT2016★ 3 cited

Averages of ratios of the Riemann zeta-function and correlations of divisor sums

Brian Conrey, Jonathan P. Keating

We establish a connection between the ratios conjecture for the Riemann zeta-function and a conjecture concerning correlations of convolutions of Möbius and divisor functions. Spec…

math.NT2016★ 6 cited

Pair correlation and twin primes revisited

Brian Conrey, Jonathan P. Keating

We use the methods developed in our papers on moments and divisor correlations to derive heuristically the conjectural ratios formula for two zetas over two zetas.

math.NT2016

Moments of zeta and correlations of divisor-sums: IV

Brian Conrey, Jonathan P. Keating

In this series we examine the calculation of the th moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor co…