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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

Symmetry-resolved modular correlation functions in free fermionic theories

open access: yesJournal of High Energy Physics, 2023
As a new ingredient for analyzing the fine structure of entanglement, we study the symmetry resolution of the modular flow of U(1)-invariant operators in theories endowed with a global U(1) symmetry.
Giuseppe Di Giulio, Johanna Erdmenger
doaj   +1 more source

Modular Schur Functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p ⩾
openaire   +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

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

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

MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS

open access: yesForum 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
doaj   +1 more source

On modular functions in characteristic 𝑝 [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
Let k =
openaire   +1 more source

Modular Approach to the Functionalization of Polymersomes [PDF]

open access: yesBiomacromolecules, 2020
Functionalizing polymersomes remains a challenge due to the limitation in reaction conditions applicable to the chemistry on the surface, hindering their application for selective targeting. In order to overcome this limitation, functionalization can be introduced right before the self-assembly.
Sjoerd J. Rijpkema   +5 more
openaire   +3 more sources

Neutrino masses and mixing from double covering of finite modular groups

open access: yesJournal 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

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