Results 11 to 20 of about 389,243 (281)

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

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
doaj   +1 more source

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, Mehregan Doroudiani, Joshua Drewitt, Martijn Hidding, Axel Kleinschmidt, Nils Matthes, Oliver Schlotterer, Bram Verbeek   +7 more
doaj   +1 more source

Lifting of Modular Forms [PDF]

, 2019
The existence and construction of vector-valued modular forms (vvmf) for any arbitrary Fuchsian group $\mathrm{G}$, for any representation $\rho:\mathrm{G} \longrightarrow \mathrm{GL}_{d}(\mathbb{C})$ of finite image can be established by lifting scalar ...
Bajpai, Jitendra
core   +4 more sources

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, Francis, J, Henriques, A, Hill, M   +3 more
openaire   +2 more sources

On cycle integrals of weakly holomorphic modular forms [PDF]

, 2014
In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms.
Bringmann, Kathrin, Guerzhoy, Pavel, Kane, Ben   +2 more
core   +3 more sources

Generalized modular forms

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

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

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