Sato-Tate type distributions for matrix points on elliptic curves and some K3 surfaces

DOI10.1016/j.jnt.2024.01.010arXiv2308.02683MaRDI QIDQ6131182

Avalon Blaser, Daniel A. N. Vargas, Molly Bradley, Kathy Xing

Publication date: 4 April 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.02683

zbMATH Keywords

elliptic curvesK3 surfacesmatrix pointspoint counting over finite fieldsSato-Tate-type distributions

Mathematics Subject Classification ID

Rational points (14G05) Varieties over finite and local fields (11G25)

Cites Work

• A family of Calabi-Yau varieties and potential automorphy. II.
• A family of Calabi-Yau varieties and potential automorphy
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Approximate formulas for some functions of prime numbers
• Mutually annihilating matrices, and a Cohen-Lenstra series for the nodal singularity
• Distribution of values of Gaussian hypergeometric functions
• The Arithmetic of Elliptic Curves
• Zeta functions of an infinite family of K3 surfaces
• Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.
• An Unconditional Explicit Bound on the Error Term in the Sato–tate Conjecture

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