Distribution of root numbers of Hecke characters attached to some elliptic curves

DOI10.1515/forum-2020-0015zbMath1484.11132arXiv2001.06321OpenAlexW3139213974MaRDI QIDQ2126310

Yanyan Li

Publication date: 19 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06321

zbMATH Keywords

complex multiplicationHecke charactersdistribution of root numbers

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Distribution of integers in special residue classes (11N69)

Cites Work

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• Quadratic Gauss sums
• The evaluation of Gauss sums for characters of 2-power order
• Mertens' theorem for arithmetic progressions
• Good reduction of abelian varieties
• Computing with Hecke Grössencharacters
• Integers without divisors from a fixed arithmetic progression
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II