Results 11 to 20 of about 318 (58)
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
On recursions for coefficients of mock theta functions [PDF]
, 2015 We use a generalized Lambert series identity due to the first author to present q-series proofs of recent results of Imamoglu, Raum and Richter concerning recursive formulas for the coefficients of two 3rd order mock theta functions.
Chan, Song Heng +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
A heuristic guide to evaluating triple-sums
, 2020 Using a heuristic that relates Appell--Lerch functions to divergent partial theta functions one can expand Hecke-type double-sums in terms of Appell--Lerch functions.
Mortenson, Eric T.
core +1 more source
Asymptotic formulae for partition ranks [PDF]
, 2014 Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F.
Dousse, Jehanne, Mertens, Michael H.
core +2 more sources
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
Unitary and non-unitary $N=2$ minimal models [PDF]
, 2019 The unitary $N = 2$ superconformal minimal models have a long history in string theory and mathematical physics, while their non-unitary (and logarithmic) cousins have recently attracted interest from mathematicians.
Creutzig, Thomas +3 more
core +3 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