Results 81 to 90 of about 6,121 (156)
, 2013 The Borcherds lift for indefinite unitary groups, previously constructed by the author, is examined here in greater detail for the special case of the group U(1,1).
Hofmann, Eric
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Basis for the space of weakly holomorphic modular forms in higher level cases
Journal of Number Theory, 2013 Abstract Let k be an even integer. We find a canonical basis for the space of weakly holomorphic modular forms of weight k for Γ 0 + ( p ) and investigate its properties.
Chang Heon Kim, SoYoung Choi
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Limit of geometric quantizations on Kähler manifolds with T‐symmetry
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract A compact Kähler manifold M,ω,J$\left(M,\omega,J\right)$ with T$T$‐symmetry admits a natural mixed polarization Pmix$\mathcal {P}_{\mathrm{mix}}$ whose real directions come from the T$T$‐action. In Leung and Wang [Adv. Math. 450 (2024), 109756], we constructed a one‐parameter family of Kähler structures ω,Jt$\left(\omega,J_{t}\right)$’s with ...
Naichung Conan Leung, Dan Wang
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Rational period functions and cycle integrals [PDF]
, 2018 In this paper we give some applications of weakly holomorphic forms and their cycle integrals to rational period functions for the modular group.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
core
The arithmetic of modular grids
, 2021 A modular grid is a pair of sequences $(f_m)_m$ and $(g_n)_n$ of weakly holomorphic modular forms such that for almost all $m$ and $n$, the coefficient of $q^n$ in $f_m$ is the negative of the coefficient of $q^m$ in $g_n$. Zagier proved this coefficient
Griffin, Michael +2 more
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Cohomological connectivity of perturbations of map‐germs
Mathematische Nachrichten, Volume 297, Issue 5, Page 1601-1631, May 2024.Abstract Let f:(Cn,S)→(Cp,0)$f: (\mathbb {C}^n,S)\rightarrow (\mathbb {C}^p,0)$ be a finite map‐germ with n
Yongqiang Liu +2 more
wiley +1 more source
Borcherds Forms and Generalizations of Singular Moduli [PDF]
, 2005 We give a factorization of averages of Borcherds forms over CM points associated to a quadratic form of signature (n,2). As a consequence of this result, we are able to state a theorem like that of Gross and Zagier about which primes can occur in this ...
Schofer, Jarad
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A single-variable proof of the omega SPT congruence family over powers of 5. [PDF]
Ramanujan J, 2023 Smoot NA.
europepmc +1 more source
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
europepmc +1 more source
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
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