Algebraicity of critical Hecke $L$-values
Guido Kings, Johannes Sprang

TL;DR
This paper surveys the algebraic properties of critical Hecke L-values, highlighting recent advancements and providing a comprehensive overview of known results and new developments in the field.
Contribution
It offers a detailed review of existing algebraicity results and introduces recent progress from Kings and Sprang's work.
Findings
Summarizes known algebraicity results for Hecke L-values.
Explains new developments in the algebraicity of critical values.
Provides a comprehensive overview of the field.
Abstract
In this survey, we review the known results on the algebraicity of critical values of Hecke -functions and explain the new developments in \cite{Kings-Sprang}.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Advanced Mathematical Identities
