Moments of $L$-functions Problem List
Alia Hamieh, Habiba Kadiri, Nathan Ng, Greg Martin
TL;DR
This paper compiles a list of open problems related to moments of $L$-functions, stemming from a collaborative research group focused on analytic number theory, aiming to guide future research in the field.
Contribution
It provides a comprehensive, curated list of current open problems in the study of moments of $L$-functions, serving as a resource for researchers.
Findings
Compilation of key open problems in $L$-functions moments
Identification of gaps in current understanding
Guidance for future research directions
Abstract
This is an ongoing list of problems that has resulted from the PIMS (Pacific Institute of Mathematical Sciences) Collaborative Research Group L-functions in Analytic Number Theory: 2022- 2025. The focus of this list is on Moments of -functions and related topics.
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Taxonomy
TopicsMathematical Approximation and Integration · Cryptography and Residue Arithmetic · Analytic Number Theory Research