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Modular equations of a continued fraction of order six
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
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Symmetry-resolved modular correlation functions in free fermionic theories
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
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A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p ⩾
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The Modular Irregularity Strength of C_n⊙mK_1
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
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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
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Correlation function of modular Hamiltonians
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
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MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
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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On modular functions in characteristic 𝑝 [PDF]
Let k =
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Modular Approach to the Functionalization of Polymersomes [PDF]
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
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Neutrino masses and mixing from double covering of finite modular groups
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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