Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Kaszian, Jonas"'
We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell-Lerch sums, and false theta functions.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2401.02820
We study counting functions of planar polygons arising from homological mirror symmetry of elliptic curves. We first analyze the signature and rationality of the quadratic forms corresponding to the signed areas of planar polygons. Then we prove the
Externí odkaz:
http://arxiv.org/abs/2301.00902
False theta functions are functions that are closely related to classical theta functions and mock theta functions. In this paper, we study their modular properties at all ranks by forming modular completions analogous to modular completions of indef
Externí odkaz:
http://arxiv.org/abs/2109.00394
False theta functions form a family of functions with intriguing modular properties and connections to mock modular forms. In this paper, we take the first step towards investigating modular transformations of higher rank false theta functions, follo
Externí odkaz:
http://arxiv.org/abs/2101.02902
Publikováno v:
Res. number theory 6, 28 (2020)
We study generating functions of certain shapes of planar polygons arising from homological mirror symmetry of elliptic curves. We express these generating functions in terms of rational functions of the Jacobi theta function and Zwegers' mock theta
Externí odkaz:
http://arxiv.org/abs/1904.05058
In this paper, we study a family of rank two false theta series associated to the root lattice of type $A_2$. We show that these functions appear as Fourier coefficients of a meromorphic Jacobi form of negative definite matrix index. Hypergeometric $
Externí odkaz:
http://arxiv.org/abs/1902.10554
In this paper, we prove vector-valued higher depth quantum modular properties arising from characters of certain vertex algebras. We then find two-dimensional Mordell integral representations for their errors of modularity.
Comment: 21 pages, to
Comment: 21 pages, to
Externí odkaz:
http://arxiv.org/abs/1803.06261
We introduce and study higher depth quantum modular forms. We construct two families of examples coming from rank two false theta functions, whose "companions" in the lower half-plane can be also realized both as double Eichler integrals and as non-h
Externí odkaz:
http://arxiv.org/abs/1704.06891
In this paper, we consider natural geometric objects coming from Lagrangian Floer theory and mirror symmetry. Lau and Zhou showed that some of the explicit Gromov-Witten potentials computed by Cho, Hong, Kim, and Lau are essentially classical modular
Externí odkaz:
http://arxiv.org/abs/1608.08588
Publikováno v:
In Advances in Applied Mathematics January 2020 112
