|主講者:||(取消)1.鍾展良 (福州大學) 2.余文卿 (國立中正大學)|
|講題:||1.Some polynomial sequence relations 2.Multiple zeta values with extra insertions|
|時間:||2020-03-20 (Fri.) 14:00 - ,15:00 -|
|地點:||數學所 638 研討室 (台大院區)|
|Abstract:||1.A Lucas polynomial sequence is a pair of generalized polynomial sequences which satisfies the Lucas recursive relation and involves Fibonacci polynomials, Lucas polynomials, Chebyshev polynomials, and Balancing polynomials as its special cases. We give some polynomial sequence relations that are generalizations of the Sury-type identities. Two proofs are provided. One is based on an elementary identity and the other uses the method of generating functions. Secondly, we focus on the $(a,b)$-type Lucas polynomial sequence and then derive a generalized polynomial version of Melham's sums. As an application, we discuss some divisible properties of such power sums.
2.Multiple zeta values and Multiple zeta-star values are natural
generalizations of the classical Euler double sums, which are nothing
but multiple series with increasing dummy varies.
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