6 citations · 6 across the 7 of their papers we have counts for
10 papers
Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions
Kathrin Bringmann, Jan-Willem van Ittersum, Jonas Kaszian
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 sum…
Modularity of counting functions of convex planar polygons with rationality conditions
Kathrin Bringmann, Jonas Kaszian, Jie Zhou
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 co…
Higher Depth False Modular Forms
Kathrin Bringmann, Jonas Kaszian, Antun Milas +1
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…
Integral Representations of Rank Two False Theta Functions and Their Modularity Properties
Kathrin Bringmann, Jonas Kaszian, Antun Milas +1
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 investigati…
Generating functions of planar polygons from homological mirror symmetry of elliptic curves
Kathrin Bringmann, Jonas Kaszian, Jie Zhou
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 ra…
Rank two false theta functions and Jacobi forms of negative definite matrix index
Kathrin Bringmann, Jonas Kaszian, Antun Milas +1
In this paper, we study a family of rank two false theta series associated to the root lattice of type . We show that these functions appear as Fourier coefficients of a merom…
Vector-valued higher depth quantum modular forms and higher Mordell integrals
Kathrin Bringmann, Jonas Kaszian, Antun Milas
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 repr…
Higher depth quantum modular forms, multiple Eichler integrals, and false theta functions
Kathrin Bringmann, Jonas Kaszian, Antun Milas
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-pl…
Indefinite theta functions arising in Gromov-Witten Theory of elliptic orbifolds
Kathrin Bringmann, Jonas Kaszian, Larry Rolen
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…
Periodic Structure of the Exponential Pseudorandom Number Generator
Jonas Kaszian, Pieter Moree, Igor E. Shparlinski
We investigate the periodic structure of the exponential pseudorandom number generator obtained from the map that acts on the set .