Results 91 to 100 of about 562 (207)
Moduli spaces and multiple polylogarithm motives [PDF]
, 2005 In this paper, we give a natural construction of mixed Tate motives whose periods are a class of iterated integrals which include the multiple polylogarithm functions.
Wang, Qingxue, Qingxue Wang
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Exact correlation functions in conformal fishnet theory
Journal of High Energy Physics, 2019 We compute exactly various 4−point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional “fishnet” CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and the structure ...
Nikolay Gromov +2 more
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A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Operator Representation of Fermi-Dirac and Bose-Einstein Integral Functions with Applications
International Journal of Mathematics and Mathematical Sciences, 2007 Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers.
M. Aslam Chaudhry, Asghar Qadir
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Zeros of the lerch transcendent function
Mathematical Modelling and Analysis, 2012 We investigate the distribution of zeros of the Lerch transcendent function We find an upper and lower estimates of zeros of the function Φ(q,s,a) in any rectangle {s : σ1 < Re s < σ2 ≤ 1.73…, 0 < Im s ≤ T}.
Ramūnas Garunkštis, Andrius Grigutis
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Lerch\u27s $Φ$ and the Polylogarithm at the Negative Integers [PDF]
At the negative integers, there is a simple relation between the Lerch $Φ$ function and the polylogarithm. Starting from that relation and a formula for the polylogarithm at the negative integers known from the literature, we can deduce a simple closed ...
Sousa, Jose Risomar
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Polylogarithmic-Time Leader Election in Population Protocols Using Polylogarithmic States
CoRR, 2015 11 ...
Dan Alistarh, Rati Gelashvili
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An elliptic generalization of multiple polylogarithms
Nuclear Physics B, 2017 27 pages plus three appendices, v2: references added, typos corrected, accepted for publication on ...
Ettore Remiddi, Lorenzo Tancredi
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The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle
, 2020 We describe the algebraic de Rham realization of the elliptic polylogarithm for arbitrary families of elliptic curves in terms of the Poincare bundle.
Sprang, Johannes, Johannes Sprang
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Gravitational couplings in N=2 $$ \mathcal{N}=2 $$ string compactifications and Mathieu Moonshine
Journal of High Energy Physics, 2018 We evaluate the low energy gravitational couplings, F g in the heterotic E 8 ×E 8 string theory compactified on orbifolds of K3 × T 2 by g ′ which acts as a ℤ N automorphism on K3 together with a 1/N shift along T 2.
Aradhita Chattopadhyaya, Justin R. David
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