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Implications of subconvexity bounds for the moments of zeta - MaRDI portal

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Implications of subconvexity bounds for the moments of zeta

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Publication:6508209

arXiv2212.04421MaRDI QIDQ6508209

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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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