Fast computation of half-integral weight modular forms

DOI10.1216/rmj.2022.52.1395OpenAlexW3094180887MaRDI QIDQ2080684

Ilker Inam, Gabor Wiese

Publication date: 10 October 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11239

zbMATH Keywords

Fourier coefficientscomputationmodular forms of half-integral weightRankin-Cohen operators

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Values of L-series of modular forms at the center of the critical strip
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• The Magma algebra system. I: The user language
• Generators of graded rings of modular forms
• Modular forms in Pari/GP
• Modern Computer Algebra
• Computational Arithmetic of Modular Forms
• The canonical ring of a stacky curve
• On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture
• Modular Forms
• On the Ramanujan-Petersson conjecture for modular forms of half-integral weight

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