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A study on multiple zeta values from the viewpoint of zeta-functions of root systems
multiple zeta values zeta-functions of root systems Number Theory
2012/5/9
We study multiple zeta values (MZVs) from the viewpoint of zeta-functions associated with the root systems which we have studied in our previous papers. In fact, the $r$-ple zeta-functions of Euler-Za...
On Mordell-Tornheim sums and multiple zeta values
Tornheim series Witten zeta function Euler sums multiple harmonic series multiple zeta values
2012/5/9
We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a result of Tsumura, i...
Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Bell polynomials Euler's constant zeta values
2010/11/22
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zet...
