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Lower bounds for moments of zeta and L-functions revisited

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arxiv 2007.13154 v1 pith:MSLGJZFQ submitted 2020-07-26 math.NT

Lower bounds for moments of zeta and L-functions revisited

classification math.NT
keywords momentszetaboundsfunctionslowermethodcasecompute
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper describes a method to compute lower bounds for moments of $\zeta$ and $L$-functions. The method is illustrated in the case of moments of $|\zeta(\frac 12+it)|$, where the results are new for small moments $0< k<1$.

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