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math.NT2026
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…
math.NT2026
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…
math.NT2026
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…