21 citations · 72 across the 19 of their papers we have counts for
4 papers · 1 filter
On the non-critical exceptional zeros of Katz -adic -functions for CM fields
Kazim Buyukboduk, Ryotaro Sakamoto
The primary goal of this article is to study -adic Beilinson conjectures in the presence of exceptional zeros for Artin motives over CM fields. In more precise terms, we address…
On the theory of higher rank Euler, Kolyvagin and Stark systems, IV: the multiplicative group
David Burns, Ryotaro Sakamoto, Takamichi Sano
We describe a refinement of the general theory of higher rank Euler, Kolyvagin and Stark systems in the setting of the multiplicative group over arbitrary number fields. We use the…
Iwahori-Hecke algebra and unramified local L-functions
Masao Oi, Ryotaro Sakamoto, Hiroyoshi Tamori
In this paper, we compute the Hecke action of a certain test function on the space of an unramified principal series of a connected reductive group over a non-archimedean local fie…
On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications
David Burns, Ryotaro Sakamoto, Takamichi Sano
In an earlier article we proved the existence of a canonical Kolyvagin derivative homomorphism between the modules of Euler and Kolyvagin systems (in any given rank) that are assoc…