Variants of Lehmer's speculation for newforms
From MaRDI portal
Publication:6110338
DOI10.1016/j.aim.2023.109141arXiv2005.10354OpenAlexW3027196102MaRDI QIDQ6110338
Ken Ono, Wei-Lun Tsai, William Craig, Jennifer S. Balakrishnan
Publication date: 5 July 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10354
Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)
Related Items
Variations of Lehmer's conjecture for Ramanujan's tau-function ⋮ Odd values of the Ramanujan tau function ⋮ A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms ⋮ Corrigendum to: ``Variants of Lehmer's speculation for newforms ⋮ On values of Ramanujan's tau function involving two prime factors
Cites Work
- Unnamed Item
- Odd prime values of the Ramanujan tau function
- Vanishing Fourier coefficients of Hecke eigenforms
- Lucas and Lehmer numbers without primitive divisor
- Effective Chabauty
- On the practical solution of the Thue equation
- Solving Thue equations of high degree
- La conjecture de Weil. II
- Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
- The Magma algebra system. I: The user language
- La conjecture de Weil. I
- Hyperelliptic curves and newform coefficients
- On \(L\)-functions of modular elliptic curves and certain \(K3\) surfaces
- Variations of Lehmer's conjecture for Ramanujan's tau-function
- Odd values of the Ramanujan tau function
- Even values of Ramanujan's tau-function
- Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
- Hecke operators on \(\Gamma_0(m)\)
- The vanishing of Ramanujan's function \(\tau(n)\)
- Existence of primitive divisors of Lucas and Lehmer numbers
- Logarithmic forms and group varieties.
- Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation
- Odd values of the Ramanujan $\tau$-function
- The diophantine equation x² + C = yⁿ
- A Chebotarev Variant of the Brun–Titchmarsh Theorem and Bounds for the Lang-Trotter conjectures
- Primary cyclotomic units and a proof of Catalans conjecture
- Fourier coefficients of level 1 Hecke eigenforms
- 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
- ODD VALUES OF FOURIER COEFFICIENTS OF CERTAIN MODULAR FORMS
- The Primality of Ramanujan's Tau-Function
- Modular Forms
- A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms
This page was built for publication: Variants of Lehmer's speculation for newforms