Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The University of TokyoJP1.3k papers
- Kyoto UniversityJP1.2k papers
- The University of OsakaJP1.2k papers
- Nagoya UniversityJP1.1k papers
- Kobe UniversityJP1.1k papers
- Centre National de la Recherche ScientifiqueFR1.1k papers
- High Energy Accelerator Research OrganizationJP1k papers
- University of TsukubaJP1k papers
- European Organization for Nuclear ResearchCH1k papers
- Tel Aviv UniversityIL1k papers
- Waseda UniversityJP1k papers
- Heidelberg UniversityDE1k papers
11 papers · 2 filters
A generalized regularization theorem and Kawashima's relation for multiple zeta values
Masanobu Kaneko, Ce Xu, Shuji Yamamoto
Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. Gaku Kawashima introduced and studied a certain Newton series, which we ca…
Riemann-Type Functional Equations -- Julia Line and Counting Formulae --
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
We study Riemann-type functional equations with respect to value-distribution theory and derive implications for their solutions. In particular, for a fixed complex number …
Truncated -adic symmetric multiple zeta values and double shuffle relations
Masataka Ono, Shin-ichiro Seki, Shuji Yamamoto
We study a refinement of the symmetric multiple zeta value, called the -adic symmetric multiple zeta value, by considering its finite truncation. More precisely, two kinds of re…
A singular series average and the zeros of the Riemann zeta-function
D. A. Goldston, Ade Irma Suriajaya
We show that the Riesz mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures has an asymptotic formula with an error term that can be expresse…
Value-Distribution of the Riemann Zeta-Function along its Julia Lines
Jörn Steuding, Ade Irma Suriajaya
For an arbitrary complex number we consider the distribution of values of the Riemann zeta-function at the -points of the function which appears in the functio…
Note on the number of zeros of
Fan Ge, Ade Irma Suriajaya
Assuming the Riemann hypothesis, we prove that where is the number of zeros of…
The error term in the Cesàro mean of the prime pair singular series
D. A. Goldston, Ade Irma Suriajaya
We show that the error term in the asymptotic formula for the Ces{à}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too sma…
Dirichlet Series with Periodic Coefficients and their Value-Distribution Near the Critical Line
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
The class of Dirichlet series associated with a periodic arithmetical function includes the Riemann zeta-function as well as Dirichlet -functions to residue class characters…
Elliptic normal curves of even degree and theta functions
Masanobu Kaneko, Masato Kuwata
An elliptic curve may be immersed in as a degree curve using level structure. In the case where is odd, there are well known classical results dati…
A Hyperbolic Analogue of the Rademacher Symbol
Toshiki Matsusaka
One of the most famous results of Dedekind is the transformation law of . After a half-century, Rademacher modified Dedekind's result and introduced an $\mathrm{SL}_2(\m…
On variants of symmetric multiple zeta-star values and the cyclic sum formula
Minoru Hirose, Hideki Murahara, Masataka Ono
The -adic symmetric multiple zeta values were defined Jarossay, which have been studied as a real analogue of -adic finite multiple zeta values. In this paper, w…