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5 papers · 2 filters
Alternating multiple zeta values, and explicit formulas of some Euler-Apery-type series
Weiping Wang, Ce Xu
In this paper, we study some Euler-Apéry-type series which involve central binomial coefficients and (generalized) harmonic numbers. In particular, we establish elegant explicit fo…
Linear relations of Ohno sums of multiple zeta values
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka +1
Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohn…
Quasi-derivation relations for multiple zeta values revisited
Masanobu Kaneko, Hideki Murahara, Takuya Murakami
We take another look at the so-called quasi-derivation relations in the theory of multiple zeta values, by giving a certain formula for the quasi-derivation operator. In doing so,…
Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols
Hikaru Hirano, Masanori Morishita
We introduce mod Milnor invariants of a Galois element associated to Ihara's Galois representation on the pro- fundamental group of a punctured projective line ( being a…
Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two
Sanoli Gun, Winfried Kohnen, Biplab Paul
Let and be Siegel cusp forms for $\Sp_4(\Z)$ and weights respectively. Also let and be Hecke eigenforms lying in distinct eigen spaces. Further suppose t…