On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field

DOI10.1080/10586458.2016.1142912zbMath1417.11036arXiv1508.07206OpenAlexW2200079519MaRDI QIDQ5281711

Jasper van Hirtum

Publication date: 26 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07206

zbMATH Keywords

modular formsnumber theoryHeuristic model

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD  OF WEIGHT 1 ⋮ An on-average Maeda-type conjecture in the level aspect

Cites Work

• A criterion for independence of a family of \(\ell\)-adic representations
• On the generation of the coefficient field of a newform by a single Hecke eigenvalue
• Twists of modular forms and endomorphisms of abelian varieties
• On \(\ell\)-adic representations attached to modular forms
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Computing L-Series of Hyperelliptic Curves
• Explicit large image theorems for modular forms

This page was built for publication: On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field