Shifted moments of the Riemann zeta function

Abstract

In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$-th moments of the Riemann zeta function on the critical line.

arXiv comment20 pages

References in corpus (5)

• Lower bounds for moments of L-functions
• Continuous lower bounds for moments of zeta and L-functions
• The second moment of quadratic twists of modular $L$-functions
• Shifted moments of L functions and moments of theta functions
• An upper bound for discrete moments of the derivative of the Riemann zeta-function

Cited by in corpus (2)

• On a Generalized Moment Integral containing Riemann's Zeta Function: Analysis and Experiment
• Shifted moments of quadratic Dirichlet $L$-functions