Modular forms in Pari/GP

DOI10.1007/s40687-018-0155-zzbMath1441.11003arXiv1810.00547OpenAlexW2888183985MaRDI QIDQ2319769

Henri Cohen, Karim Belabas

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00547

zbMATH Keywords

\(L\)-functionsmodular forms

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (9)

On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ On the computation of general vector-valued modular forms ⋮ Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions ⋮ All modular forms of weight 2 can be expressed by Eisenstein series ⋮ Experimental evidence on a refined conjecture of the BSD type ⋮ A ``class group obstruction for the equation \(Cy^d=F(x,z)\) ⋮ Fast computation of half-integral weight modular forms ⋮ Rigorous computation of Maass cusp forms of squarefree level

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Jacobi forms and a certain space of modular forms
• Toric modular forms and nonvanishing of L-functions
• Toric modular forms of higher weight
• Evaluating modular forms on Shimura curves
• Modular Forms

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