Results 41 to 50 of about 6,121 (156)
Congruences involving arithmetic progressions for weakly holomorphic modular forms
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
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Zeros of weakly holomorphic modular forms of levels 2 and 3 [PDF]
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
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Curves on K3 surfaces in divisibility 2
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
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A Note on Congruences for Weakly Holomorphic Modular Forms [PDF]
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
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Interlacing of zeros of certain weakly holomorphic modular forms for
Soyoung Choi, Bo‐Hae Im
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4-manifolds and topological modular forms
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
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On the zeros of certain weakly holomorphic modular forms for
Soyoung Choi, Bo‐Hae Im
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Shintani lifts and fractional derivatives for harmonic weak Maass forms [PDF]
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
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Regularized inner products and weakly holomorphic Hecke eigenforms [PDF]
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
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Sign-Periodicity of Traces of Singular Moduli
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
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