From the 1 of 4 linked papers with an AI index.
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Euler-type Recurrence Relations for Partition Functions with Congruence Conditions
Wissam Raji, Hasan Saad
The paper investigates partition functions that count partitions with parts congruent to 0 or ±g modulo δ, deriving Euler‑type recurrence relations via generalized Dedekind eta fun…
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 conside…
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…
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…
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…
L-series of harmonic Maass forms and a summation formula for harmonic lifts
Nikolaos Diamantis, Min Lee, Wissam Raji +1
We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we for…