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Lower Bounds for Moments of LL-functions

Sanoli Gun, Gaurav Kumar, Deep Thakur

Source record

Source: arXiv

Published: Aug 30, 2026

arXiv: 2608.30061

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Source abstract

In this article, we introduce a refinement of the method of Heap and Soundararajan to obtain lower bounds for the 2k2k-th moment of a broad class of LL-functions for all real k0k\ge 0. In particular, our method circumvents the need to estimate the twisted moments of LL-functions.

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