Results 111 to 120 of about 205 (137)

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 ...
SoYoung Choi, Bo-Hae Im
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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
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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
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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 ...
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Three-divisibility of Fourier coefficients of weakly holomorphic modular forms

The Ramanujan Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight

International Journal of Number Theory
Generalized Hecke operators, originating from the replication formula in Monstrous Moonshine, were extended in [D. Jeon, S.-Y. Kang and C. H. Kim, The Hecke system of harmonic Maass functions and applications to modular curves of higher genera Ramanujan J.
Chang Heon Kim, Kyeong Seok Min
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The broadening scope of oral mucositis and oral ulcerative mucosal toxicities of anticancer therapies

Ca-A Cancer Journal for Clinicians, 2022
Sharon Elad, Noam Yarom, Yehuda Zadik
exaly  

Onconephrology: The intersections between the kidney and cancer

Ca-A Cancer Journal for Clinicians, 2021
, Kenar D Jhaveri, Mark A Perazella
exaly  

Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
exaly