10.9k citations
- 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
5 papers · 2 filters
Modular parametrizations of certain elliptic curves
Matija Kazalicki, Yuichi Sakai, Koji Tasaka
Kaneko and Sakai recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a parti…
Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces
Yasuro Gon
We present the first example of the Selberg type zeta function for noncompact higher rank locally symmetric spaces. We study certain Selberg type zeta functions and Ruelle type zet…
On lower ramification subgroups and canonical subgroups
Shin Hattori
Let p be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of the Witt ring of k. Let G be a finite flat…
Extended double shuffle relations and the generating function of triple zeta values of any fixed weight
Tomoya Machide
Extended double shuffle relations for multiple zeta values are obtained by the fact that any product of regularized multiple zeta values has two different representations, and the…
On some multiple zeta-star values of one-two-three indices
Koji Tasaka, Shuji Yamamoto
In this paper, we present some identities for multiple zeta-star values with indices obtained by inserting 3 or 1 into the string 2,...,2. Our identities give analogues of Zagier's…