Results 31 to 40 of about 44,715 (186)

D3-instantons, Mock Theta Series and Twistors [PDF]

, 2012
The D-instanton corrected hypermultiplet moduli space of type II string theory compactified on a Calabi-Yau threefold is known in the type IIA picture to be determined in terms of the generalized Donaldson-Thomas invariants, through a twistorial ...
A Dabholkar, A Haydys, A Karlhede, A Neitzke, A Swann, B Haghighat, B Pioline, B Wit de, B Wit de, Boris Pioline, C LeBrun, C Vafa, D Gaiotto, D Gaiotto, D Gaiotto, D Robles-Llana, D Robles-Llana, D Robles-Llana, DR Morrison, ER Sharpe, F Denef, F Saueressig, H Günther, I Antoniadis, I Antoniadis, J Bagger, J Boer de, J Boer de, J Boer de, J Manschot, J Manschot, J Manschot, J Manschot, J Manschot, J Troost, Jan Manschot, JM Maldacena, K Becker, K Becker, L Bao, L Göttsche, L Göttsche, M Bodner, M-F Vignéras, MR Douglas, NJ Hitchin, R Böhm, R Minasian, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Alexandrov, S Cecotti, S Ferrara, S Hosono, Sergei Alexandrov, SM Salamon, U Lindström   +66 more
core   +4 more sources

Partial theta functions and mock modular forms as q-hypergeometric series [PDF]

, 2011
Ramanujan studied the analytic properties of many $q$-hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know how these curious $q$-series fit into the theory of automorphic forms.
Bringmann, Kathrin, Folsom, Amanda, Rhoades, Robert C.   +2 more
core   +1 more source

The part-frequency matrices of a partition [PDF]

, 2016
A new combinatorial object is introduced, the part-frequency matrix sequence of a partition, which is elementary to describe and is naturally motivated by Glaisher's bijection.
Keith, William J.
core   +4 more sources

Partition Identities for Ramanujan's Third Order Mock Theta Functions

, 2010
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions $\phi(-q)$ and $\psi(-q)$. We also give an involution for Fine's partition identity on the mock theta function f(q).
Chen, William Y. C., Ji, Kathy Q., Liu, Eric H.   +2 more
core   +1 more source

Asymptotics for Bailey-type mock theta functions [PDF]

The Ramanujan Journal, 2021
AbstractWe compute asymptotic estimates for the Fourier coefficients of two mock theta functions, which come from Bailey pairs derived by Lovejoy and Osburn. To do so, we employ the circle method due to Wright and a modified Tauberian theorem. We encounter cancelation in our estimates for one of the mock theta functions due to the auxiliary function $$\
openaire   +2 more sources

Hecke-type double sums, Appell-Lerch sums, and mock theta functions (I)

, 2012
By developing a connection between partial theta functions and Appell-Lerch sums, we find and prove a formula which expresses Hecke-type double sums in terms of Appell-Lerch sums and theta functions.
Andrews, Andrews, Andrews, Andrews, Andrews, Appell, Atkin, Berndt, Bringmann, Bringmann, Bruinier, Choi, Choi, Dean R. Hickerson, Eric T. Mortenson, Folsom, Gordon, Griffiths, Hecke, Hickerson, Hickerson, Kac, Kac, Kac, Lerch, McIntosh, Polishchuk, Ramanujan, Rogers, Schilling, Tannery, Watson, Zagier, Zwegers   +33 more
core   +1 more source

Overpartitions related to the mock theta function $\omega(q)$ [PDF]

, 2016
It was recently shown that $q\omega(q)$, where $\omega(q)$ is one of the third order mock theta functions, is the generating function of $p_{\omega}(n)$, the number of partitions of a positive integer $n$ such that all odd parts are less than twice the ...
G. Andrews, Atul Dixit, Daniel Schultz, A. Yee   +3 more
semanticscholar   +1 more source

ON THE TENTH-ORDER MOCK THETA FUNCTIONS [PDF]

Journal of the Australian Mathematical Society, 2017
Using properties of Appell–Lerch functions, we give insightful proofs for six of Ramanujan’s identities for the tenth-order mock theta functions.
openaire   +3 more sources

A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS [PDF]

Transformation Groups, 2016
We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators.
Kac, Victor, Wakimoto, Minoru
openaire   +4 more sources

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source