A conjecture of Erdős, supersingular primes and short character sums

DOI10.4007/annals.2020.191.2.2zbMath1440.11039arXiv1709.01022OpenAlexW3006325597WikidataQ123026331 ScholiaQ123026331MaRDI QIDQ2296295

Samir Siksek, Michael A. Bennett

Publication date: 18 February 2020

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01022

zbMATH Keywords

Galois representationsmodularitylevel loweringsuperelliptic curvesFrey-Hellegouarch curve

Mathematics Subject Classification ID

Galois representations (11F80) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (6)

Power values of sums of certain products of consecutive integers and related results ⋮ The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations ⋮ Powers from products of terms in progressions with gaps ⋮ Rational solutions to the variants of Erdős–Selfridge superelliptic curves ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ Polynomial values of products of terms from an arithmetic progression

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