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Lower bounds for moments of zeta and L$L$‐functions revisited

Winston Heap, K. Soundararajan

2022Mathematika32 citationsDOIOpen Access PDF

Abstract

This paper describes a method to compute lower bounds for moments of ζ $\zeta$ and L $L$ -functions. The method is illustrated in the case of moments of | ζ ( 1 2 + i t ) | $|\zeta (\tfrac{1}{2}+it)|$ , where the results are new for small moments 0 < k < 1 $0 <k <1$ .

Topics & Concepts

MathematicsRiemann zeta functionCombinatoricsMethod of moments (probability theory)Mathematical analysisPure mathematicsStatisticsEstimatorAnalytic Number Theory ResearchAdvanced Mathematical IdentitiesLimits and Structures in Graph Theory