Nathan Ng, Quanli Shen, Peng‐Jie Wong
Abstract
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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.
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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.
Key concepts: Riemann zeta function, Mathematics, Riemann hypothesis, Riemann Xi function, Conjecture, Particular values of Riemann zeta function, Arithmetic zeta function, Proof of the Euler product formula for the Riemann zeta function