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Organic lateral heterostructures with interfacial fluctuation for polarization-resolved photonics. [PDF]

Sci Adv
Ye YP, Lv Q, Xu CF, Lv ZJ, Wang L, Wang XD.   +5 more
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On q-analogues of multiple sine functions

On q-analogues of multiple sine functions
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Remodeling Activity of ChAHP Restricts Transcription Factor Access to Chromatin

Ahel J, Mohn F, Schwaiger M, Kaaij L, Steiner J, Moreno EPF, Hess D, Bühler M.   +7 more
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Studies on multiple zeta values, Arakawa-Kaneko zeta functions and iterated log-sine integrals

Studies on multiple zeta values, Arakawa-Kaneko zeta functions and iterated log-sine integrals
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Multiple sine functions

Forum Mathematicum, 2003
This paper is an English version of a part of some lecture notes by N. Kurokawa from 1991, the notes having been taken by S. Koyama. In the paper, a theory of multiple sine functions is constructed which generalizes the usual sine function. The double sine function was introduced by Hölder in 1886, and the authors introduce the triple and higher sine ...
Kurokawa Nobushige, Koyama Shin-ya
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Differential Algebraicity of Multiple Sine Functions

Letters in Mathematical Physics, 2005
Let \(w_1,\dots, w_r> 0\). The multiple sine function of period \(\underline w= (w_1,\dots, w_r)\) is defined by \[ S_r(x,\underline w)= \Gamma_r(x,\underline w)^{-1} \Gamma_r(|\underline w|- x,\underline w)^{-1)^r}, \] where \(|\underline w|= w_1+\cdots+ w_r\), and \(\Gamma_r(x,\underline w)\) is the multiple gamma function originally studied by ...
Kurokawa, Nobushige, Wakayama, Masato
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GENERALIZED MAHLER MEASURES AND MULTIPLE SINE FUNCTIONS

International Journal of Mathematics, 2004
We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.
Gon, Yasuro, Oyanagi, Hideo
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Multiple gamma functions, multiple sine functions, and Appell’s O-functions

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Shintani’s prehomogeneous zeta functions and multiple sine functions

Rendiconti del Circolo Matematico di Palermo, 2005
For \(n\geq 1\) let \(Z_n(s)\) be Shintani's prehomogeneous zeta function associated to the space of symmetric matrices. The author proves that for \(n\equiv 1\pmod 4\), \(n\neq 1\), the function \( Z_n(s)\) has a simple zero at \(s=0\), and \[ Z_n'(0)=-(-4)^{\frac{1-n}{4}}(\zeta(-1)\zeta(-3)\dots \zeta(-(n-2)))^2\log\left(\prod_{k=1}^{\frac{n-1}{4}}S_{
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