Results 41 to 50 of about 6,121 (156)

Congruences involving arithmetic progressions for weakly holomorphic modular forms

open access: yesAdvances in Mathematics, 2016
Abstract In this paper, we give a classification of weights k such that there is a nonzero weakly holomorphic modular form f = ∑ a ( n ) q n of weight k on Γ 1 ( N ) having infinitely many congruences of the form a ( l n + β ) ≡ 0 ( mod l ) , where l is a prime and β is an integer in
D. Choi
openaire   +3 more sources

Zeros of weakly holomorphic modular forms of levels 2 and 3 [PDF]

open access: green, 2012
Let $M_k^\sharp(N)$ be the space of weakly holomorphic modular forms for $\Gamma_0(N)$ that are holomorphic at all cusps except possibly at $\infty$. We study a canonical basis for $M_k^\sharp(2)$ and $M_k^\sharp(3)$ and prove that almost all modular ...
Sharon Anne Garthwaite, Paul Jenkins
openalex   +3 more sources

Curves on K3 surfaces in divisibility 2

open access: yesForum of Mathematics, Sigma, 2021
We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2.
Younghan Bae, Tim-Henrik Buelles
doaj   +1 more source

A Note on Congruences for Weakly Holomorphic Modular Forms [PDF]

open access: green, 2020
Let $O_L$ be the ring of integers of a number field $L$. Write $q = e^{2 \pi i z}$, and suppose that $$f(z) = \sum_{n \gg - \infty}^{\infty} a_f(n) q^n \in M_{k}^{!}(\operatorname{SL}_2(\mathbb{Z})) \cap O_L[[q]]$$ is a weakly holomorphic modular form of
Spencer Dembner, Vanshika Jain
openalex   +3 more sources

4-manifolds and topological modular forms

open access: yesJournal of High Energy Physics, 2021
We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with flavor symmetry backgrounds.
Sergei Gukov   +3 more
doaj   +1 more source

Shintani lifts and fractional derivatives for harmonic weak Maass forms [PDF]

open access: yes, 2014
In this paper, we construct Shintani lifts from integral weight weakly holomorphic modular forms to half-integral weight weakly holomorphic modular forms.
Bringmann, Kathrin   +2 more
core   +2 more sources

Regularized inner products and weakly holomorphic Hecke eigenforms [PDF]

open access: yes, 2017
We show that the image of repeated differentiation on weak cusp forms is precisely the subspace which is orthogonal to the space of weakly holomorphic modular forms.
Bringmann, Kathrin, Kane, Ben
core   +2 more sources

Sign-Periodicity of Traces of Singular Moduli

open access: yesMathematics, 2013
Zagier proved that the generating functions of traces of singular values of Jm(z) are weight 3/2 weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of Jm(z).
Subong Lim, Dohoon Choi, Byungchan Kim
doaj   +1 more source

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