2 papers
math.NT2026
Lower Bounds for Moments of Automorphic L-functions
Deep Thakur
In this article, we describe a method to obtain lower bounds for the 2kth moment of values of L-functions localised at the central point for all real k > 0. In particular, we handl…
math.NT2026
Lower Bounds for Moments of -functions
Sanoli Gun, Gaurav Kumar, Deep Thakur
In this article, we introduce a refinement of the method of Heap and Soundararajan to obtain lower bounds for the -th moment of a broad class of -functions for all real $k\g…