10 papers · 1 filter
Euler-type Recurrence Relations for Partition Functions with Congruence Conditions
Wissam Raji, Hasan Saad
We study partition functions counting partitions into parts congruent to or . Using generalized Dedekind eta functions and Rankin-Cohen brackets, we…
Vector-Valued Period Polynomials and Zeta Values of Quadratic Fields
Yeong-Wook Kwon, Subong Lim, Wissam Raji
Let and be integers. Let be a positive integer that is congruent to a square modulo , and fix with . In this paper, we consider…
Rankin-Cohen Bracket for Vector-Valued Modular Forms
Youngmin Lee, Subong Lim, Wissam Raji
In this paper, we explore the relationship between Rankin-Cohen brackets for vector-valued modular forms and Petersson's inner products, deriving an explicit description of the adj…
L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems
Subong Lim, Wissam Raji
We introduce the -series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued…
Period-like polynomials for -series associated with half-integral weight cusp forms
James Branch, Nikolaos Diamantis, Wissam Raji +1
Given the L-series of a half-integral weight cusp form, we construct a cohomology class with coefficients in a finite dimensional vector space in a way that parallels the Eichler c…
Results on the Non-Vanishing of Derivatives of L-Functions of Vector-Valued Modular Forms
Subong Lim, Wissam Raji
We show a non-vanishing result for the averages of the derivatives of -functions associated with the orthogonal basis of the space of vector-valued cusp forms of weight $k\in \f…