2 citations · 3 across the 2 of their papers we have counts for
2 papers
math.NT2013★ 1 cited
On certain mean values of the double zeta-function
Soichi Ikeda, Kaneaki Matsuoka, Yoshikazu Nagata
In this paper we discuss three types of the mean values of the Euler double zeta function. In order to get results we introduce three approximate formulas for this function.
math.NT2012★ 2 cited
A new construction of the real numbers by alternating series
Soichi Ikeda
We put forward a new method of constructing the complete ordered field of real numbers from the ordered field of rational numbers. Our method is a generalization of that of A. Knop…