6 citations · 12 across the 15 of their papers we have counts for
17 papers
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…
The Riemann Hypothesis for period polynomials of cusp forms
William Craig, Wissam Raji
We consider the period polynomials associated with cusp forms of weight on all of , which are generating functions for the…
Non-Vanishing of L-Functions of Vector-Valued Modular Forms
Subong Lim, Wissam Raji
We show a non-vanishing result for the averages of L-functions associated with the orthogonal basis of the space of cusp forms of vector-valued modular forms on the full group. We…
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…
Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip
Alia Hamieh, Wissam Raji
In this paper, we show that, on average, the derivatives of -functions of cuspidal Hilbert modular forms with sufficiently large weight do not vanish on the line segments $\…
Class Numbers and Self-Conjugate 7-Cores
Ken Ono, Wissam Raji
We investigate , the number of self-conjugate -core partitions of size . It turns out that for . For , with $n\…
Values of L-Series of Hecke Eigenforms
Kamal Khuri-Makdisi, Winfried Kohnen, Wissam Raji
We determine a formula for the average values of L-series associated to eigenforms at complex values.
Periods of modular forms and identities between Eisenstein series
Kamal Khuri-Makdisi, Wissam Raji
Borisov and Gunnells observed in 2001 that certain linear relations between products of two holomorphic weight 1 Eisenstein series had the same structure as the relations between p…
Eichler Cohomology of Generalized Modular Forms of Real Weights
Wissam Raji
In this paper, we prove the Eichler cohomology theorem of weakly parabolic generalized modular forms of real weights on subgroups of finite index in the full modular group. We expl…
Generalized Maass Wave Forms
Tobias Mühlenbruch, Wissam Raji
We initiate the study of generalized Maass wave forms, those Maass wave forms for which the multiplier system is not necessarily unitary. We then prove some basic theorems inherite…
Eichler integrals for Maass cusp forms of half-integral weight
Tobias Mühlenbruch, Wissam Raji
In this paper, we define and discuss Eichler integrals for Maass cusp forms of half-integral weight on the full modular group. We discuss nearly periodic functions associated to th…
On generalized modular forms supported on cuspidal and elliptic points
L J P Kilford, Wissam Raji
In this paper, we extend previous results to prove that generalized modular forms with rational Fourier expansions whose divisors are supported only at the cusps and certain other…