Evaluating modular forms on Shimura curves

DOI10.1090/S0025-5718-2015-02943-3zbMath1323.11021arXiv1210.1243OpenAlexW1981993114MaRDI QIDQ5264137

Paul D. Nelson

Publication date: 20 July 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1243

zbMATH Keywords

Shimura curvescomputing values of modular formsShimizu theta correspondence

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Algebraic number theory computations (11Y40)

Related Items

Quaternionic loci in Siegel's modular threefold ⋮ The Weyl bound for triple product \(L\)-functions ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Microlocal lifts and quantum unique ergodicity on \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ Special values of hypergeometric functions and periods of CM elliptic curves ⋮ Modular forms in Pari/GP ⋮ Subconvex equidistribution of cusp forms: reduction to Eisenstein observables ⋮ Computing Power Series Expansions of Modular Forms

Uses Software

• SageMath

Cites Work

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