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Thetanullwerte and Stable Modular Forms
American Journal of Mathematics, 1989For g and k natural numbers, let \([\Gamma_ g,k]\) be the (complex) vector space of modular forms of degree g and weight k relative to the symplectic group \(\Gamma_ g:=Sp(g,{\mathbb{Z}})\). By \([\Gamma_ g,\vartheta,k]\) one defines the subspace of [\(\Gamma\),k] spanned over \({\mathbb{C}}\) by homogeneous polynomials of degree 2k in the ...
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Modular Groups and Modular Forms
1989In this chapter, we explain the general theory of modular forms. In §4.1, we discuss the full modular group SL 2(ℤ) and modular forms with respect to SL 2(ℤ), as an introduction to the succeeding sections. We define and study congruence modular groups in §4.2. In §4.3, we explain the relation between modular forms and Dirichlet series obtained by Hecke
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Modular iterated integrals associated with cusp forms
Forum Mathematicum, 2022Nikolaos Diamantis
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On Drinfeld modular forms of higher rank IV: Modular forms with level
Journal of Number Theory, 2022Ernst-Ulrich Gekeler
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Partition Eisenstein series and semi-modular forms
Research in Number Theory, 2021Matthew Just +2 more
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Functional equation of the p-adic L-function of Bianchi modular forms
Journal of Number Theory, 2023Luis Santiago Palacios
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Congruence relations satisfied by quaternionic modular forms
Ramanujan Journal, 2023Shoyu Nagaoka
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