The Sato-Tate conjecture on average for small angles

DOI10.1090/S0002-9947-08-04498-XzbMath1246.11115arXivmath/0608318OpenAlexW2034285171WikidataQ123365114 ScholiaQ123365114MaRDI QIDQ3623374

Stephan Baier, Liangyi Zhao

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608318

zbMATH Keywords

Sato-Tate conjectureFrobenius distributionDirichelet L-functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (12)

Frobenius distributions of elliptic curves in short intervals on average ⋮ Sums of Euler products and statistics of elliptic curves ⋮ Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height ⋮ The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height ⋮ Effective equidistribution and the Sato-Tate law for families of elliptic curves ⋮ Lang–Trotter and Sato–Tate distributions in single and double parametric families of elliptic curves ⋮ The Sato-Tate distribution in thin families of elliptic curves over high degree extensions of finite fields ⋮ Moments of the error term in the Sato-Tate law for elliptic curves ⋮ The Sato-Tate distribution in thin parametric families of elliptic curves ⋮ THE ERROR TERM IN THE SATO–TATE THEOREM OF BIRCH ⋮ Central limit theorems for elliptic curves and modular forms with smooth weight functions ⋮ On the Sato–Tate conjecture on average for some families of elliptic curves

Cites Work

• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height
• Average Frobenius distribution of elliptic curves
• On the Distribution of Supersingular Primes
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude
• The divisor problem for arithmetic progressions
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