Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function

DOI10.1142/S1793042115500918zbMath1391.11098arXiv1404.3080MaRDI QIDQ3451554

Brad Rodgers, Kenneth Maples

Publication date: 17 November 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3080

zbMATH Keywords

Riemann zeta functioncentral limit theoremrandom matrix theoryzero density estimate

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) (zeta (s)) and (L(s, chi)) (11M06) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Relations with random matrices (11M50)

Related Items

On the logarithmic derivative of characteristic polynomials for random unitary matrices, The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line, Local central limit theorem for determinantal point processes, On the Riemann Zeta Function and Gaussian Multiplicative Chaos

Cites Work

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• A Summation Formula in the Theory of Prime Numbers