Results 21 to 30 of about 378,592 (232)

Explicit congruences for mock modular forms [PDF]

, 2015
In recent work of Bringmann, Guerzhoy, and the first author, p-adic modular forms were constructed from mock modular forms.
Kane, Ben, Waldherr, Matthias
core   +2 more sources

Neutrino masses and mixing from double covering of finite modular groups

Journal of High Energy Physics, 2019
We extend the even weight modular forms of modular invariant approach to general integral weight modular forms. We find that the modular forms of integral weights and level N can be arranged into irreducible representations of the homogeneous finite ...
Xiang-Gan Liu, Gui-Jun Ding
doaj   +1 more source

Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms

Open Mathematics, 2022
Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Generalized modular forms

Journal of Number Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geoffrey Mason, Marvin I. Knopp
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Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

Open Mathematics, 2017
For an odd and squarefree level N, Kohnen proved that there is a canonically defined subspace Sκ+12new(N)⊂Sκ+12(N),andSκ+12new(N)andS2knew(N)$S_{\kappa+\frac{1}{2}}^{\mathrm{n}\mathrm{e}\mathrm{w}}(N)\subset S_{\kappa+\frac{1}{2}}(N),\,\,{\text{and ...
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Polar harmonic Maass forms and their applications [PDF]

, 2016
In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of
Bringmann, Kathrin, Kane, Ben
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Formes modulaires modulo p changement de base et base et théorie d'Iwasawa [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper gives complements to the author’s earlier article [1]. First, a congruence between zêta values occurring there is explained using the theory of the p-adic zêta function. Secondly, the proof of base change given here is extended to split primes.
Laurent Clozel
doaj  

Double cover of modular S4 for flavour model building

Nuclear Physics B, 2021
We develop the formalism of the finite modular group Γ4′≡S4′, a double cover of the modular permutation group Γ4≃S4, for theories of flavour. The integer weight k>0 of the level 4 modular forms indispensable for the formalism can be even or odd.
P.P. Novichkov, J.T. Penedo, S.T. Petcov
doaj   +1 more source

Ramanujan and coefficients of meromorphic modular forms [PDF]

, 2016
The study of Fourier coefficients of meromorphic modular forms dates back to Ramanujan, who, together with Hardy, studied the reciprocal of the weight 6 Eisenstein series. Ramanujan conjectured a number of further identities for other meromorphic modular
Bringmann, Kathrin, Kane, Ben
core   +2 more sources

An Introduction to Modular Forms [PDF]

, 2019
In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{ }mberg [1].
openaire   +4 more sources