Elliptic curves over a finite field and the trace formula

DOI10.1112/plms.12069zbMath1436.11068arXiv1510.03980OpenAlexW3126001524MaRDI QIDQ4600975

Ian N. Petrow, Nathan Kaplan

Publication date: 18 January 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03980

zbMATH Keywords

elliptic curvesSelberg trace formulapower moments

Mathematics Subject Classification ID

Elliptic curves (14H52) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (11)

Generating functions for power moments of elliptic curves over \(\mathbb{F}_p\) ⋮ Functional graphs of families of quadratic polynomials ⋮ Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums ⋮ The average analytic rank of elliptic curves with prescribed torsion ⋮ Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field ⋮ Constants in Titchmarsh divisor problems for elliptic curves ⋮ Counting plane cubic curves over finite fields with a prescribed number of rational intersection points ⋮ On the trace formula for Hecke operators on congruence subgroups. II ⋮ Weight enumerators of Reed-Muller codes from cubic curves and their duals ⋮ Dimension formulas for modular form spaces with character for Fricke groups

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