1 citations · 1 across the 4 of their papers we have counts for
4 papers
Polylogarithmic Analogues of Euler's Constant
Takumi Noda
We introduce a family of constants \[ C_m := \lim_{n\to\infty} \left( \sum_{k=1}^n \operatorname{Li}_m\!\left(\frac1k\right) - \log n \right), \] which may be regarded as polylogar…
On Dirichlet Series Involving and Extensions of the Euler-Mascheroni Constant
Takumi Noda
In this paper, we introduce a class of Dirichlet series defined in terms of the Riemann zeta-function, motivated by the study of their special values, and establish integral repres…
Blind Signal Separation for Fast Ultrasound Computed Tomography
Takumi Noda, Yuu Jinnai, Naoki Tomii +1
Breast cancer is the most prevalent cancer with a high mortality rate in women over the age of 40. Many studies have shown that the detection of cancer at earlier stages significan…
Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan's formula for , Weierstrass' elliptic and allied functions
Masanori Katsurada, Takumi Noda
For a class of generalized holomorphic Eisenstein series, we establish complete asymptotic expansions (Theorems~1~and~2), which together with the explicit expression of the latter…