Results 121 to 130 of about 6,121 (156)

ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS

ZEROS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS
Weakly holomorphic modular forms for modular groups are holomorphic away from the cusp. We study a certain family of weakly holomorphic modular forms and the locations of their zeros.We prove that all of the zeros in the standard fundamental domain for the modular group lie on a lower boundary arc, providing conditions.
openaire  

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
openaire   +3 more sources

Zeros of weakly holomorphic modular forms of level 5

International Journal of Number Theory, 2016
Let [Formula: see text] be the space of weakly holomorphic modular forms of weight [Formula: see text] and level [Formula: see text] that are holomorphic away from the cusp at [Formula: see text]. We study a canonical basis for [Formula: see text] and the locations of zeros of this basis in a fundamental domain. We give a lower bound for the number of
Seiichi Hanamoto
openaire   +3 more sources

Three-divisibility of Fourier coefficients of weakly holomorphic modular forms

The Ramanujan Journal, 2015
We study the Fourier coefficients of modular forms in a canonical basis for the space of weakly holomorphic modular forms of weights $$12, 16, 18, 20, 22$$ , and
Seiichi Hanamoto
semanticscholar   +4 more sources

The transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for Γ0(2)

Journal of Number Theory, 2019
Abstract We consider the canonical basis elements f k , m e for the space of weakly holomorphic modular forms of weight k for the Hecke congruence group Γ 0 ( 2 ) and we prove that for all m ≥ c ( k ) for some constant c ( k ) , if z 0 in a fundamental domain for Γ 0 ( 2 )
Bo-Hae Im, So Young Choi
openaire   +3 more sources

Effective bounds for Fourier coefficients of certain weakly holomorphic modular forms

Journal of Number Theory, 2018
Abstract In Jorgenson et al. (2016) [JST 16a] , the authors derived generators for the function fields associated to certain low genus arithmetic surfaces realized through the action of the discrete Fuchsian group Γ 0 ( N ) + / { ± 1 } on the upper half plane.
D. Garbin
openaire   +3 more sources

Congruences involving the $$U_{\ell }$$Uℓ operator for weakly holomorphic modular forms

The Ramanujan journal, 2019
Let $$\lambda $$ λ be an integer, and $$f(z)=\sum _{n\gg -\infty } a(n)q^n$$ f ( z ) = ∑ n ≫ - ∞ a ( n ) q n be a weakly holomorphic modular form of weight $$\lambda +\frac{1}{2}$$ λ + 1 2 on $$\Gamma _0(4)$$ Γ 0 ( 4 ) with integral coefficients.
D. Choi, Subong Lim
semanticscholar   +1 more source

The zeros of certain weakly holomorphic Drinfeld modular forms

Manuscripta Mathematica, 2014
Duke and Jenkins (Pure Appl Math Q 4(4):1327–1340, 2008) constructed a canonical basis for the space of weakly holomorphic modular forms for $${{\rm SL}_2(\mathbb{Z})}$$ and investigated the zeros of the ...
Bo-Hae Im, SoYoung Choi
openaire   +2 more sources