论文标题

亚概念界对Zeta时刻的含义

Implications of subconvexity bounds for the moments of zeta

论文作者

Smith, Kevin

论文摘要

众所周知,Riemann Zeta函数$ζ(S)$的上限对亚概念界有影响。在本文中,我们使用临界条的右功能分析在相反方向上探讨了一些含义。主要结果表征了矩的行为的潜在转变。

It is well-known that upper bounds for moments of the Riemann zeta function $ζ(s)$ 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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