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Mathematika· 2026Q1

Extreme values of class group L‐functions

João Campos Vargas

Short summary

A new lower bound for the maximum value of class group L-functions at the central point is established, showing this value is on average at least 1/2 for any N.

AI-generated from the title and abstract; the full text is not read.

Key points

  • A lower bound for the maximum value of class group L-functions at the central point is derived.
  • The average maximum value is shown to be at least 1/2 for any N.
  • The study focuses on the properties of class group L-functions.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract We give a lower bound for the maximum value of class group ‐functions attached to at the central point and show that this value is on average at least for any .

The authors' abstract, as published at the source. Mathematika, 2026 · DOI ↗

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Field: Applied Mathematics

Applied MathematicsMathematics