Results 131 to 140 of about 230 (149)

The Andrews-Sellers family of partition congruences.

Adv Math (N Y), 2012
Paule P, Radu CS.
europepmc   +1 more source

Zeros of certain weakly holomorphic modular forms and their transcendence

, 2017
openaire   +1 more source

Zeros of certain weakly holomorphic modular forms and their transcendence

Zeros of certain weakly holomorphic modular forms and their transcendence
openaire  

Some of the next articles are maybe not open access.

Related searches:

A basis for the space of weakly holomorphic Drinfeld modular forms for GL2(A)

Journal of Number Theory, 2022
Abstract We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements. Moreover we obtain the congruence properties of t-expansion coefficients of these functions under some conditions.
Soyoung Choi
exaly   +2 more sources

DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS

International Journal of Number Theory, 2011
In 1949, Lehner showed that certain coefficients of the modular invariant j(τ) are divisible by high powers of small primes. Kolberg refined Lehner's results and proved congruences for these coefficients modulo high powers of these primes. We extend Lehner's and Kolberg's work to the elements of a canonical basis for the space of weight 0 weakly ...
MICHAEL GRIFFIN
openaire   +2 more sources

Three-divisibility of Fourier coefficients of weakly holomorphic modular forms

Ramanujan Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Arithmetic properties for the minus space of weakly holomorphic modular forms

Journal of Number Theory, 2019
Let \(M_k^{\prime}(p)\) (resp. \(M_k^{\prime\, +}(p)\)) be the space of weakly holomrorphic modular forms of weight \(k\) for the Hecke group \(\Gamma_0(p)\) (resp. \(\Gamma_0^+(p)=\) where \(W_p\) is the Fricke involution). Let \(M_k^{\prime\, -}(p)\) denote the minus subspace of \(M_k^{\prime}(p)\) consisting of all eigenfunctions of \(W_p\) with ...
Soyoung Choi, Chang Heon Kim, Kyung Seung Lee   +2 more
exaly   +2 more sources

Effective bounds for Fourier coefficients of certain weakly holomorphic modular forms

Journal of Number Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

ARITHMETIC OF WEAKLY HOLOMORPHIC MODULAR FORMS FOR HECKE GROUPS

JP Journal of Algebra, Number Theory and Applications, 2015
Summary: \textit{W. Duke} and \textit{P. Jenkins} [Pure Appl. Math. Q. 4, No. 4, 1327--1340 (2008; Zbl 1200.11027)] constructed a nice canonical basis for the space of weakly holomorphic modular forms of weight \(k\) for \(\mathrm{SL}_2(\mathbb{Z})\) that are holomorphic away from the cusp at infinity.
Ahn, Jaehyun, Choi, Soyoung
openaire   +1 more source