Results 21 to 30 of about 611,660 (282)

Correlation function of modular Hamiltonians

Journal of High Energy Physics, 2019
We investigate varies correlation functions of modular Hamiltonians defined with respect to spatial regions in quantum field theory. These correlation functions are divergent in general.
Jiang Long
doaj   +1 more source

MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS

Forum of Mathematics, Pi, 2013
Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM, KEN ONO, ROBERT C. RHOADES   +2 more
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Efficacy and safety of modular versus monoblock stems in revision total hip arthroplasty: a systematic review and meta-analysis

Journal of Orthopaedics and Traumatology, 2023
Background Both modular and monoblock tapered fluted titanium (TFT) stems are increasingly being used for revision total hip arthroplasty (rTHA). However, the differences between the two designs in clinical outcomes and complications are not yet clear ...
Daofeng Wang, Hua Li, Wupeng Zhang, Huanyu Li, Cheng Xu, Wanheng Liu, Jiantao Li   +6 more
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Neutrino masses and mixing from double covering of finite modular groups

Journal of High Energy Physics, 2019
We extend the even weight modular forms of modular invariant approach to general integral weight modular forms. We find that the modular forms of integral weights and level N can be arranged into irreducible representations of the homogeneous finite ...
Xiang-Gan Liu, Gui-Jun Ding
doaj   +1 more source

On three theorems of Folsom, Ono and Rhoades

, 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

Asymptotic expansions, $L$-values and a new Quantum Modular Form [PDF]

, 2013
In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the "strange" function $F(q)$ of Kontsevich. Here we produce a new example of a quantum modular form by making use of some of Ramanujan's mock theta functions ...
Costa, Edgar, Debaene, Korneel, Guerreiro, João   +2 more
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Perturbed integral equations in modular function spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2003
We focus our attention on a class of perturbed integral equations in modular spaces, by using fixed point Theorem I.1 (see [1]).
Ahmed Hajji, E. Hanebaly
doaj   +1 more source

Generalized modular fractal spaces and fixed point theorems

Advances in Difference Equations, 2021
In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it.
Alireza Alihajimohammad, Reza Saadati
doaj   +1 more source

Module Design of Self-reconfigurable Modular Robot: A Survey

Journal of Harbin University of Science and Technology, 2021
Self-reconfigurable modular robot is a robot assembled through one or more modules and can be reconstI11cted into another configuration according to the changes of working environment.
DAI Ye, ZHANG Qi-hao, GAO Yu-fei, Qi Yun-shan, WANG Jian-hui   +4 more
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S-duality in Abelian gauge theory revisited

, 2011
Definition of the partition function of U(1) gauge theory is extended to a class of four-manifolds containing all compact spaces and certain asymptotically locally flat (ALF) ones including the multi-Taub--NUT spaces. The partition function is calculated
Besse, Cherkis, Etesi, Etesi, Etesi, Etesi, Etesi, Gibbons, Gilkey, Gábor Etesi, Hausel, Hillman, Knapp, Montonen, Olive, Rosenberg, Segal, Sen, Tan, Tan, Taylor, Vafa, Witten, Witten, Yau, Ákos Nagy   +25 more
core   +1 more source