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9 papers · 2 filters
A variation of multiple -values arising from the spectral zeta function of the non-commutative harmonic oscillator
Kazufumi Kimoto, Yoshinori Yamasaki
A variation of multiple -values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic oscillator, is introduced.…
Evaluations of multiple Dirichlet -values via symmetric functions
Yoshinori Yamasaki
We explicitly evaluate a special type of multiple Dirichlet -values at positive integers in two different ways: One approach involves using symmetric functions, while the other…
Algebraic setup of non-strict multiple zeta values
Shuichi Muneta
In this article, we introduce an algebraic setup of non-strict multiple zeta values (NMZVs, for short) and prove some relations of NMZVs, which are analogous to Hoffman's relations…
Elliptic curves related to cyclic cubic extensions
Rintaro Kozuma
The aim of this paper is to study certain family of elliptic curves defined over a number field arising from hyperplane sections of some cubic surface $\m…
On some explicit evaluations of multiple zeta-star values
Shuichi Muneta
In this paper, we give some explicit evaluations of multiple zeta-star values which are rational multiple of powers of .
The non-existence of certain mod 2 Galois representations of some small quadratic fields
Hyunsuk Moon, Yuichiro Taguchi
For a few quadratic fields, the non-existence is proved of continuous irreducible mod 2 Galois representations of degree 2 unramified outside 2.