Atkin-Serre type conjectures for automorphic representations on \(\mathrm{GL}(2)\)

DOI10.4310/MRL.2007.v14.n2.a3zbMath1175.11026OpenAlexW1964139917WikidataQ123274890 ScholiaQ123274890MaRDI QIDQ2459308

Jeremy Rouse

Publication date: 6 November 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2007.v14.n2.a3

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (11)

On the Chebotarev-Sato-Tate phenomenon ⋮ The explicit Sato-Tate Conjecture and densities pertaining to Lehmer-type questions ⋮ On the typical size and cancellations among the coefficients of some modular forms ⋮ The error term in the Sato-Tate conjecture ⋮ Effective forms of the Sato-Tate conjecture ⋮ A Bombieri-Vinogradov theorem for primes in short intervals and small sectors ⋮ On the first negative Hecke eigenvalue of an automorphic representation of \(\mathrm{GL}_2(\mathbb{A}_\mathbb{Q})\) ⋮ Almost all primes satisfy the Atkin-Serre conjecture and are not extremal ⋮ Patterns of primes in the Sato-Tate conjecture ⋮ Extremal primes for elliptic curves without complex multiplication ⋮ The explicit Sato–Tate conjecture for primes in arithmetic progressions

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