Results 11 to 20 of about 608,878 (283)

Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background [PDF]

open access: yes, 2003
The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp-wave backgrounds is studied.
AGAPITOS HATZINIKITAS   +6 more
core   +1 more source

Odd values of the Klein j-function and the cubic partition function [PDF]

open access: yes, 2015
In this note, using entirely algebraic or elementary methods, we determine a new asymptotic lower bound for the number of odd values of one of the most important modular functions in number theory, the Klein $j$-function.
Zanello, Fabrizio
core   +1 more source

The Modular Irregularity Strength of C_n⊙mK_1

open access: yesInPrime, 2022
Let G(V, E) be a graph with order n with no component of order 2. An edge k-labeling α: E(G) →{1,2,…,k} is called a modular irregular k-labeling of graph G if the corresponding modular weight function wt_ α:V(G) → Z_n defined by wt_ α(x) =Ʃ_(xyϵE(G)) α ...
Putu Kartika Dewi
doaj   +1 more source

P-adic Asai L-functions of Bianchi modular forms [PDF]

open access: yes, 2019
The Asai (or twisted tensor) $L$-function of a Bianchi modular form $\Psi$ is the $L$-function attached to the tensor induction to $\mathbb{Q}$ of its associated Galois representation. In this paper, when $\Psi$ is ordinary at $p$ we construct a $p$-adic
Loeffler, David, Williams, Chris
core   +3 more sources

Modular equations of a continued fraction of order six

open access: yesOpen Mathematics, 2019
We study a continued fraction X(τ) of order six by using the modular function theory. We first prove the modularity of X(τ), and then we obtain the modular equation of X(τ) of level n for any positive integer n; this includes the result of Vasuki et al ...
Lee Yoonjin, Park Yoon Kyung
doaj   +1 more source

Congruences via modular forms [PDF]

open access: yes, 2010
We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica.
Osburn, Robert, Sahu, Brundaban
core   +4 more sources

On the universal behavior of T T ¯ $$ T\overline{T} $$ -deformed CFTs: single and double-trace partition functions at large c

open access: yesJournal of High Energy Physics, 2023
We study universal properties of the torus partition function of T T ¯ $$ T\overline{T} $$ -deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single ...
Luis Apolo, Wei Song, Boyang Yu
doaj   +1 more source

Spin and abelian electromagnetic duality on four-manifolds [PDF]

open access: yes, 2000
We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function under modular transformations of the dimensionless coupling constants. The
Alvarez, Marcos, Olive, David I.
core   +2 more sources

Correlation function of modular Hamiltonians

open access: yesJournal 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

Efficacy and safety of modular versus monoblock stems in revision total hip arthroplasty: a systematic review and meta-analysis

open access: yesJournal 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   +6 more
doaj   +1 more source

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