[1] EZ-Face [2] Michael Hoffman’s site contains some basic information about the MZVs. Hoffman also has a comprehensive list of references on MZVs and related stuff [3] Jonathan M. Borwein, David M. Bradley, David J. Broadhurst, and Petr Lisonek, “Special values of multidimensional polylogarithms,” Trans. Amer. Math. Soc. 353 (2001), 907–941 [4] Wadim Zudilin, “Algebraic relations for multiple ...

Multiple zeta values (MZVs) in the usual sense are the special values of multiple variable zeta functions at positive integers. Their extensive studies are important in both mathematics and physics with broad connections and applications. In contrast, very little is known about the special values of multiple zeta functions at non-positive integers since the values are usually singular. We defin...

Sums of the form $\sum_{q \leq N_1 < \cdots N_m n}{a_{(m);N_m}\cdots a_{(2);N_2}a_{(1);N_1}}$ date back to sixteen century when Vi\`ete illustrated that relation linking roots and coefficients a polynomial had this form. In more recent years, such sums have become increasingly used with diversity applications. paper, we develop formulae help manipulating (which will refer as multiple sums). We ...

This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.

We find and prove relationships between Riemann zeta values and central binomial sums. We also investigate alternating binomial sums (also called Apéry sums). The study of non-alternating sums leads to an investigation of different types of sums which we call multiple Clausen values. The study of alternating sums leads to a tower of experimental results involving polylogarithms in the golden ra...