Results 31 to 40 of about 318 (58)

Identities for generalized Appell functions and the blow-up formula

open access: yes, 2015
In this paper, we prove identities for a class of generalized Appell functions which are based on the $\operatorname{A}_2$ root lattice. The identities are reminiscent of periodicity relations for the classical Appell function, and are proven using only ...
Bringmann, Kathrin   +2 more
core   +1 more source

BPS invariants of N = 4 gauge theory on Hirzebruch surfaces [PDF]

open access: yes, 2012
. Generating functions of BPS invariants forN = 4 U(r) gauge theory on a Hirze-bruch surface with r ≤ 3 are computed. The BPS invariants provide the Betti numbers of moduli spaces of semi-stable sheaves.
Manschot, J.
core  

On three theorems of Folsom, Ono and Rhoades

open access: yes, 2013
In his deathbed letter to Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom,
Zudilin, Wadim
core   +1 more source

Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions

open access: yes
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 ...
Bringmann, Kathrin   +2 more
core  

Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

open access: yesCommun Math Phys
Garoufalidis S   +3 more
europepmc   +1 more source

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