On the splitting conjecture in the hybrid model for the Riemann zeta function

Winston Heap

On the splitting conjecture in the hybrid model for the Riemann zeta function

Number Theory 2021-02-04 v1

Authors: Winston Heap

Abstract

We show that the splitting conjecture in the hybrid model of Gonek--Hughes--Keating holds to order on the Riemann hypothesis. Our results are valid in a larger range of the parameter $X$ which mediates between the partial Euler and Hadamard products. We also show that the asymptotic splitting conjecture holds for this larger range of $X$ in the cases of the second and fourth moments.

Keywords

riemann zeta function hybrid model splitting conjecture riemann hypothesis moments

Cite

@article{arxiv.2102.02092,
  title  = {On the splitting conjecture in the hybrid model for the Riemann zeta function},
  author = {Winston Heap},
  journal= {arXiv preprint arXiv:2102.02092},
  year   = {2021}
}

Comments

47 pages

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