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arXiv · 2212.04421

Implications of subconvexity bounds for the moments of zeta

Kevin Smith
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Abstract

It is well-known that upper bounds for moments of the Riemann zeta function $\zeta(s)$ have implications for subconvexity bounds. In this paper we explore some implications in the opposite direction using functional analysis in the right-half of the critical strip. The main results characterise potential transitions in the behaviour of the moments.

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Kevin Smith. 2022-12-08. Implications of subconvexity bounds for the moments of zeta. https://arxiv.org/abs/2212.04421

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