Results 51 to 60 of about 129 (113)

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

p-adic vertex operator algebras. [PDF]

Res Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

L-series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems

Canadian Journal of Mathematics
Abstract We introduce the L-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of half-integral weight in Kohnen plus space.
Lim, Subong, Raji, Wissam
openaire   +2 more sources

On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]

Res Math Sci, 2020
Fonseca TJ.
europepmc   +1 more source

Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers. [PDF]

Proc Natl Acad Sci U S A, 2020
Beckwith O, Raum M, Richter OK.
europepmc   +1 more source

Ramanujan's influence on string theory, black holes and moonshine. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Harvey JA.
europepmc   +1 more source

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

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  

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

Commun Math Phys, 2023
Beem C, Nair S.
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