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math.NTJul 26, 2020
21
citations (OpenAlex)
authors
  • Winston Heap
  • K. Soundararajan
arXiv abstractPDF
paper

Lower bounds for moments of zeta and L-functions revisited

arXiv:2007.13154

Abstract

This paper describes a method to compute lower bounds for moments of ζ and L-functions. The method is illustrated in the case of moments of ∣ζ(21​+it)∣, where the results are new for small moments 0<k<1.

13 pages

Cited by in corpus (8)

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  • Bounds for moments of quadratic Dirichlet L-functions of prime-related moduli
  • Bounds for moments of cubic and quartic Dirichlet L-functions
  • Bounds for moments of Dirichlet L-functions to a fixed modulus
  • The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields
  • Joint value distribution of L-functions on the critical line
  • Lower bounds for moments of the derivative of the Riemann zeta function
  • Evidence of Random Matrix Corrections for the Large Deviations of Selberg's Central Limit Theorem
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