Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Nazaroglu, Caner"'
Andrews-Dyson-Hickerson, Cohen build a striking relation between q-hypergeometric series, real quadratic fields, and Maass forms. Thanks to the works of Lewis-Zagier and Zwegers we have a complete understanding on the part of these relations pertaini
Externí odkaz:
http://arxiv.org/abs/2409.17818
The study of partitions with parts separated by parity was initiated by Andrews in connection with Ramanujan's mock theta functions, and his variations on this theme have produced generating functions with a large variety of different modular propert
Externí odkaz:
http://arxiv.org/abs/2403.00635
Autor:
Bringmann, Kathrin, Nazaroglu, Caner
In 2015, Lovejoy and Osburn discovered twelve $q$-hypergeometric series and proved that their Fourier coefficients can be understood as counting functions of ideals in certain quadratic fields. In this paper, we study their modular and quantum modula
Externí odkaz:
http://arxiv.org/abs/2205.02643
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 forming modular completions analogous to modular completions of indef
Externí odkaz:
http://arxiv.org/abs/2109.00394
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 investigating modular transformations of higher rank false theta functions, follo
Externí odkaz:
http://arxiv.org/abs/2101.02902
Autor:
Bringmann, Kathrin, Nazaroglu, Caner
False theta functions closely resemble ordinary theta functions, however they do not have the modular transformation properties that theta functions have. In this paper, we find modular completions for false theta functions, which among other things
Externí odkaz:
http://arxiv.org/abs/1904.05377
Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region. The elliptic genera of squashed toric-Calabi-Yau m
Externí odkaz:
http://arxiv.org/abs/1808.00012
Autor:
Bringmann, Kathrin, Nazaroglu, Caner
Topologically twisted $\mathcal{N} = 4$ super Yang-Mills theory has a partition function that counts Euler numbers of instanton moduli spaces. On the manifold $\mathbb{P}^2$ and with gauge group $\mathrm{U}(3)$ this partition function has a holomorph
Externí odkaz:
http://arxiv.org/abs/1803.09270
Autor:
Nazaroglu, Caner
Publikováno v:
Communications in Number Theory and Physics 12 (2018) 581-608
Theta functions for definite signature lattices constitute a rich source of modular forms. A natural question is then their generalization to indefinite signature lattices. One way to ensure a convergent theta series while keeping the holomorphicity
Externí odkaz:
http://arxiv.org/abs/1609.01224
We consider double scaled little string theory on $K3$. These theories are labelled by a positive integer $k \ge 2$ and an $ADE$ root lattice with Coxeter number $k$. We count BPS fundamental string states in the holographic dual of this theory using
Externí odkaz:
http://arxiv.org/abs/1410.6174