Experimental evidence for Maeda's conjecture on modular forms

zbMath1280.11023arXiv1207.3480MaRDI QIDQ390594

Angus Mcandrew, Alexandru Ghitza

Publication date: 8 January 2014

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3480

zbMATH Keywords

modular formsHecke operators

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Software, source code, etc. for problems pertaining to number theory (11-04) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (11)

Newforms with rational coefficients ⋮ On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ Rankin-Cohen brackets of eigenforms and modular forms ⋮ Distinguishing eigenforms of level one ⋮ Newton polygons of Hecke operators ⋮ Tautological rings of spaces of pointed genus two curves of compact type ⋮ Records on the vanishing of Fourier coefficients of powers of the Dedekind eta function ⋮ Uniqueness of Fourier coefficients of eigenforms ⋮ Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms ⋮ An on-average Maeda-type conjecture in the level aspect ⋮ The weight reduction of mod \(p\) Siegel modular forms for \(GSp_4\) and theta operators

Uses Software

• FLINT
• LinBox
• SageMath
• OEIS

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