Results 1 to 10 of about 166 (121)
Interlacing of zeros of weakly holomorphic modular forms [PDF]
Proceedings of the American Mathematical Society, Series B, 2014 We prove that the zeros of a family of extremal modular forms interlace, settling a question of Nozaki. Additionally, we show that the zeros of almost all forms in a basis for the space of weakly holomorphic modular forms of
Paul Jenkins, Kyle Pratt
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Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms [PDF]
Open Mathematics, 2022 Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
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Curves on K3 surfaces in divisibility 2
Forum 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
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4-manifolds and topological modular forms
Journal 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
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Sign-Periodicity of Traces of Singular Moduli
Mathematics, 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
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Linear relations between modular forms for Г0+(p)
Open Mathematics, 2015 We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
Choi SoYoung, Kim Chang Heon
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On the algebraicity of coefficients of half-integral weight mock modular forms
Open Mathematics, 2018 Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.
Choi SoYoung, Kim Chang Heon
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Open Mathematics, 2019 After the significant work of Zagier on the traces of singular moduli, Jeon, Kang and Kim showed that the Galois traces of real-valued class invariants given in terms of the singular values of the classical Weber functions can be identified with the ...
Eum Ick Sun, Jung Ho Yun
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Cycle integrals and rational period functions for Γ0+(2) and Γ0+(3)
Open MathematicsFor p∈{2,3}p\in \left\{2,3\right\} and an even integer kk, let Wk−2−(p){W}_{k-2}^{-}\left(p) be the space of period polynomials of weight k−2k-2 on Γ0+(p){\Gamma }_{0}^{+}\left(p) with eigenvalue −1-1 under the Fricke involution.
Choi SoYoung +2 more
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On values of weakly holomorphic modular functions at divisors of meromorphic modular forms [PDF]
, 2021 Daeyeol Jeon +2 more
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