Results 11 to 20 of about 314 (66)
The false theta functions of Rodgers and their modularity
Bulletin of the London Mathematical Society, Volume 53, Issue 4, Page 963-980, August 2021., 2021 Abstract In this survey article, we explain how false theta functions can be embedded into a modular framework and show some of the applications of this modularity.
Kathrin Bringmann
wiley +1 more source
New Expansion Formulas for a Family of the λ‐Generalized Hurwitz‐Lerch Zeta Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We derive several new expansion formulas for a new family of the λ‐generalized Hurwitz‐Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and ...
H. M. Srivastava +2 more
wiley +1 more source
New Relations Involving an Extended Multiparameter Hurwitz‐Lerch Zeta Function with Applications
International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014 We derive several new expansion formulas involving an extended multiparameter Hurwitz‐Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and the ...
H. M. Srivastava +3 more
wiley +1 more source
Counting Strings, Wound and Bound [PDF]
, 2013 We analyze zero mode counting problems for Dirac operators that find their origin in string theory backgrounds. A first class of quantum mechanical models for which we compute the number of ground states arises from a string winding an isometric ...
Ashok, Sujay K. +2 more
core +2 more sources
Negative index Jacobi forms and quantum modular forms [PDF]
, 2014 In this paper, we consider the Fourier coefficients of a special class of meromorphic Jaocbi forms of negative index. Much recent work has been done on such coefficients in the case of Jacobi forms of positive index, but almost nothing is known for ...
Bringmann, Kathrin +2 more
core +1 more source
The non-compact elliptic genus: mock or modular [PDF]
, 2010 We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset conformal field theories with central charge larger than three.
A Cappelli +39 more
core +2 more sources
A holomorphic anomaly in the elliptic genus [PDF]
, 2014 We consider a class of gauged linear sigma models (GLSMs) in two dimensions that flow to non-compact (2, 2) superconformal field theories in the infra-red, a prototype of which is the SL(2, R)/U(1) (cigar) coset.
Sameer Murthy
core +2 more sources
On the Fourier coefficients of negative index meromorphic Jacobi forms [PDF]
, 2015 In this paper, we consider the Fourier coefficients of meromorphic Jacobi forms of negative index. This extends recent work of Creutzig and the first two authors for the special case of Kac-Wakimoto characters which occur naturally in Lie theory, and ...
Bringmann, Kathrin +2 more
core +2 more sources
A Kronecker-type identity and the representations of a number as a sum of three squares [PDF]
, 2017 By considering a limiting case of a Kronecker-type identity, we obtain an identity found by both Andrews and Crandall. We then use the Andrews-Crandall identity to give a new proof of a formula of Gauss for the representations of a number as a sum of ...
Mortenson, E.
core +3 more sources