Results 101 to 110 of about 230 (149)

From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Gillman N, Gonzalez X, Ono K, Rolen L, Schoenbauer M.   +4 more
europepmc   +1 more source

Integral Traces of Weak Maass Forms of Genus Zero Odd Prime Level

, 2013
Duke and Jenkins defined a family of linear maps from spaces of weakly holomorphic modular forms of negative integral weight and level 1 into spaces of weakly holomorphic modular forms of half integral weight and level 4 and showed that these lifts ...
Green, Nathan Eric
core  

Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]

Commun Math Phys, 2023
Beem C, Nair S.
europepmc   +1 more source

Periodic sign changes for weakly holomorphic $η$-quotients

In this paper, we study sign changes of weakly holomorphic modular forms which are given as $η$-quotients.
Han, Guoniu, Bringmann, Kathrin, Heim, Bernhard, Kane, Ben   +3 more
core  

Applications of Modular Forms to Geometry and Interpolation Problems

, 2019
The sphere packing problem asks for the densest collection of non-overlapping con- gruent spheres in Rn. In 2016, Viazovska proved that the E8 lattice is optimal for n = 8.
Feigenbaum, Ahram Samuel
core  

Exact formula for cubic partitions

, 2023
Mauth L.
europepmc   +1 more source

ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS

ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS
Weakly holomorphic modular forms for modular groups are holomorphic away from the cusp. We study a certain family of weakly holomorphic modular forms and the locations of their zeros.We prove that all of the zeros in the standard fundamental domain for the modular group lie on a lower boundary arc, providing conditions.
openaire  

A Note on the Transcendence of Zeros of a Certain Family of Weakly Holomorphic Forms

Recently, Duke and Jenkins have studied a certain family of modular forms fk,m, that form a natural basis of the space of weakly holomorphic modular forms of weight k on SL2(Z).
Swisher, Holly, Jennings-Shaffer, Chris
core  

Flipping operators and locally harmonic Maass forms. [PDF]

Ramanujan J
Bringmann K, Mono A, Rolen L.
europepmc   +1 more source

Algebraicity of weakly holomorphic modular functions at divisors of meromorphic modular forms for certain Fuchsian groups

Abstract We show that the values of a certain basis of weakly holomorphic modular functions on $\Gamma_{0}^{+}(N)$ at points of the divisors of any meromorphic modular form of weight $k$ on $\Gamma_{0}^{+}(N)$ with algebraic Fourier coefficients are algebraic. We also find the basis of an Eisenstein space of weight 2 on $\Gamma_{0}^{+}(N)$.
Chang Heon Kim, Gyucheol Shin
openaire   +1 more source