Quasimodular Forms and S(m|m) ∧ Characters
نویسندگان
چکیده
In this paper, we establish automorphic properties and asymptotic behaviors of characters due to Kac–Wakimoto pertaining to s (m|n)∧ highest weight modules in the case m = n, extending work of Bringmann and Ono (Math Ann 345:547–558, 2009) and Bringmann and Folsom (submitted) which pertains to the case m > n.
منابع مشابه
Poisson Structures and Star Products on Quasimodular Forms
We construct and classify all Poisson structures on quasimodular forms that extend the one coming from the first Rankin-Cohen bracket on the modular forms. We use them to build formal deformations on the algebra of quasimodular forms.
متن کاملPillowcases and quasimodular forms
We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.
متن کاملFive new rust taxa on Salicaceae in Central Alborz area (N Iran)
During the study on rust mycobiota of Central Alborz, several rust infected specimens belonging to Salicaceae family including Populus and Salix species were investigated. Populus nigra, P. euphratica, Saix alba and S. excelsa were infected by various Melampsora species. Uredinial (II) and telial (III) stages of rust were present on infected plants. According to morphological characters, five f...
متن کاملSome connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
Let $G$ be a finite group. We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$. In this paper we characterize solvable groups $G$ in which the derived covering number is finite.
متن کاملSpecial values of shifted convolution Dirichlet series
In a recent important paper, Hoffstein and Hulse [14] generalized the notion of Rankin-Selberg convolution L-functions by defining shifted convolution L-functions. We investigate symmetrized versions of their functions, and we prove that the generating functions of certain special values are linear combinations of weakly holomorphic quasimodular forms and “mixed mock modular” forms.
متن کامل