Results 11 to 20 of about 55,203 (163)
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
doaj +1 more source
Topological Modular Forms [PDF]
, 2014 DEFINITION 3.5. An integral modular form of weight n is a law associating to every pointed curve of genus 1 a section of wo" in a way compatible with base change.
Douglas, C +3 more
openaire +2 more sources
Journal of Number Theory, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knopp, Marvin, Mason, Geoffrey
openaire +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
Unimodal sequences and quantum and mock modular forms [PDF]
Proc Natl Acad Sci U S A, 2012 Bryson J, Ono K, Pitman S, Rhoades R.
europepmc +1 more source
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
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
Modular Forms on Hecke's Modular Groups [PDF]
Proceedings of the American Mathematical Society, 1973 Let H={-r=x+iy:y>0}. Let A>0, k>O, y=I1. Let M(Q, k, y) denote the set of functions f for which f(r)= .D=o ane2'i"rli and f(-1/T)=y(&/i)kf(T), for all T r H. Let MO(A, k, y) denote the set of feM(A, k. y) for which f((T)=O(yc) uniformly for all x as y-+, for some real c.
openaire +2 more sources
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
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