POLYLOGARITHMS

作品数：2被引量：4H指数：1
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相关期刊：《Science China Mathematics》《Advances in Pure Mathematics》更多>>
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Convergence Phenomenon with Fourier Series of tg(x2)and Alike
《Advances in Pure Mathematics》2024年第7期556-595,共40页Alfred Wünsche 
The Fourier series of the 2π-periodic functions tg(x2)and 1sin(x)and some of their relatives (first of their integrals) are investigated and illustrated with respect to their convergence. These functions are Generali...
关键词：Gibbs Phenomenon Generalized Functions Weak Convergence Chebyshev Polynomials of First and Second Kind Even and Odd Generating Functions for Chebyshev Polynomials POLYLOGARITHMS Completeness Relations 
Polylogarithms and multiple zeta values from free Rota-Baxter algebras被引量：4
《Science China Mathematics》2010年第9期2239-2258,共20页GUO Li1,2 & ZHANG Bin3,1Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China 2Department of Mathematics and Computer Science,Rutgers University,Newark,NJ 07102,USA 3Yangtze Center of Mathematics,Sichuan University,Chengdu 610064,China 
support from NSF grant DMS-0505643;support from National Natural Science Foundation of China (Grant Nos.10631050,10911120391/A0109)
We show that the shuffle algebras for polylogarithms and regularized MZVs in the sense of Ihara,Kaneko and Zagier are both free commutative nonunitary Rota-Baxter algebras with one generator.We apply these results to ...
关键词：multiple zeta values POLYLOGARITHMS Rota-Baxter ALGEBRAS 
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