Results 31 to 40 of about 11,403,908 (364)
Advancements in fixed point theory in modular function spaces
Arabian Journal of Mathematics, 2012 The purpose of this paper is to give an outline of the recent results in fixed point theory for asymptotic pointwise contractive and nonexpansive mappings, and semigroups of such mappings, defined on some subsets of modular function spaces.
W. Kozlowski
semanticscholar +2 more sources
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 +2 more
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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 +2 more
core +3 more sources
Best proximity points in modular function spaces
, 2015 We generalize the notion of best proximity points in the context of modular function spaces. We have found sufficient conditions for the existence and uniqueness of best proximity points for cyclic maps in modular function spaces.
B. Zlatanov
semanticscholar +1 more source
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
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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
Fixed points of multivalued mappings in modular function spaces with a graph
, 2015 Let ρ∈ℜ$\rho\in\Re$ (the class of all nonzero regular function modulars defined on a nonempty set Ω) and G be a directed graph defined on a subset C of Lρ$L_{\rho}$.
M. Alfuraidan
semanticscholar +1 more source
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 +25 more
core +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 +4 more
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