Results 11 to 20 of about 53,389 (317)
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
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Lifting of Modular Forms [PDF]
Publications mathématiques de Besançon. Algèbre et théorie des nombres, 2019 15 ...
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Holomorphic subgraph reduction of higher-point modular graph forms
Journal of High Energy Physics, 2019 Modular graph forms are a class of modular covariant functions which appear in the genus-one contribution to the low-energy expansion of closed string scattering amplitudes.
Jan E. Gerken, Justin Kaidi
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Modular graph forms from equivariant iterated Eisenstein integrals
Journal of High Energy Physics, 2022 The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms.
Daniele Dorigoni +7 more
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Mathieu moonshine and Siegel Modular Forms
Journal of High Energy Physics, 2021 A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
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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
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Bounds for twisted symmetric square L-functions via half-integral weight periods
Forum of Mathematics, Sigma, 2020 We establish the first moment bound $$\begin{align*}\sum_{\varphi} L(\varphi \otimes \varphi \otimes \Psi, \tfrac{1}{2}) \ll_\varepsilon p^{5/4+\varepsilon} \end{align*}$$ for triple product L-functions, where $\Psi $ is a fixed Hecke ...
Paul D. Nelson
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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].
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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
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sl(2)ˆ decomposition of denominator formulae of some BKM Lie superalgebras
Nuclear Physics B, 2021 We study a family of Siegel modular forms that are constructed using Jacobi forms that arise in Umbral moonshine. All but one of them arise as the Weyl-Kac-Borcherds denominator formula of some Borcherds-Kac-Moody (BKM) Lie superalgebras.
Suresh Govindarajan +2 more
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