155 citations · 1.2k across the 49 of their papers we have counts for
6 papers · 1 filter
Iterated integrals for generalized Appell functions
Aradhita Chattopadhyaya, Jan Manschot
Appell functions are a large class of multi-variable quasi-elliptic functions, which are also instances of higher depth mock modular forms. A central aspect of these functions is t…
Appell Functions for General Lattices
Aradhita Chattopadhyaya, Jan Manschot
We study Appell functions associated to an arbitrary positive definite lattice and a choice of linearly independent vectors , . Thes…
Indefinite theta series and generalized error functions
Sergei Alexandrov, Sibasish Banerjee, Jan Manschot +1
Theta series for lattices with indefinite signature arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their modular…
Identities for generalized Appell functions and the blow-up formula
Kathrin Bringmann, Jan Manschot, Larry Rolen
In this paper, we prove identities for a class of generalized Appell functions which are based on the root lattice. The identities are reminiscent of periodici…
Asymptotic formulas for coefficients of inverse theta functions
Kathrin Bringmann, Jan Manschot
We determine asymptotic formulas for the coefficients of a natural class of negative index and negative weight Jacobi forms. These coefficients can be viewed as a refinement of the…
From sheaves on P2 to a generalization of the Rademacher expansion
Kathrin Bringmann, Jan Manschot
Moduli spaces of stable coherent sheaves on a surface are of much interest for both mathematics and physics. Yoshioka computed generating functions of Poincare polynomials of such…