𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiplicative relations with conjugate algebraic numbers

✍ Scribed by A. Dubickas

Publisher
Springer
Year
2007
Tongue
English
Weight
161 KB
Volume
59
Category
Article
ISSN
0041-5995

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Algebraic Numbers with Integral Power Tr
Algebraic Numbers with Integral Power Traces
✍ B. Desmit πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 184 KB

A generalization of the following theorem will be proved. If \(\alpha\) is an algebraic number of degree \(n\) over \(\mathbb{Q}\) and the trace of \(\alpha^{i}\) lies in \(\mathbb{Z}\) for all positive \(i\) up to \(n+n \log _{2} n\), then \(\alpha\) is an algebraic integer. 1993 Academic Press. In

Multiple harmonic series related to mult
Multiple harmonic series related to multiple Euler numbers
✍ Hirofumi Tsumura πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 248 KB

In this paper, we define the multiple Euler numbers and consider some multiple harmonic series of Mordell-Tornheim's type, which is a partial sum of the Mordell-Tornheim zeta series defined by Matsumoto. Indeed, we prove a certain reducibility of these series as well as the multiple zeta values.