Odd values of the Ramanujan tau function
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Publication:2134187
DOI10.1007/s00208-021-02241-3OpenAlexW3190699790MaRDI QIDQ2134187
Samir Siksek, Michael A. Bennett, Adela Gherga, Vandita Patel
Publication date: 6 May 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.02933
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)
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Differences between perfect powers: The Lebesgue-Nagell equation, Even values of Ramanujan's tau-function, \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation, Analytic number theory. Abstracts from the workshop held November 6--12, 2022, Variants of Lehmer's speculation for newforms, Differences between perfect powers: prime power gaps, On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms, On values of Ramanujan's tau function involving two prime factors
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- Odd prime values of the Ramanujan tau function
- On divisors of Lucas and Lehmer numbers
- Divisibilite de certaines fonctions arithmétiques
- The Magma algebra system. I: The user language
- La conjecture de Weil. I
- Hyperelliptic curves and newform coefficients
- Variations of Lehmer's conjecture for Ramanujan's tau-function
- Arithmetic properties of the Ramanujan function
- Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
- The vanishing of Ramanujan's function \(\tau(n)\)
- Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1
- Existence of primitive divisors of Lucas and Lehmer numbers
- Odd values of the Ramanujan $\tau$-function
- Algorithms in Algebraic Number Theory
- Ternary Diophantine Equations via Galois Representations and Modular Forms
- On The Greatest Prime Factor of ax m +by n , II
- Class Number Computations of Real Abelian Number Fields
- Bounds for the solutions of Thue-Mahler equations and norm form equations
- Fourier coefficients of level 1 Hecke eigenforms
- On the prime factors of the iterates of the Ramanujan τ–function
- 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
- Shifted powers in binary recurrence sequences
- ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN MODULAR FORMS
- On a question of B. Mazur
- Variants of Lehmer's speculation for newforms