Ryotaro Sakamoto

activity

20162026

most citedOn the theory of higher rank Euler, Kolyvagin and Stark systems, II

21 citations · 72 across the 19 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.NT2020★ 7 cited

Euler Systems for $GSp_{4} \times GL_{2}$

Chi-Yun Hsu, Zhaorong Jin, Ryotaro Sakamoto

For a non-endoscopic cohomological cuspidal automorphic representation of $GSp_{4} \times GL_{2}$ , assumed to be $p$ -ordinary, we construct an Euler system for the Ga…

math.NT2020

$L$ -invariants, $p$ -adic heights and factorization of $p$ -adic $L$ -functions

Kâzim Büyükboduk, Ryotaro Sakamoto

We continue with our study of the non-critical exceptional zeros of Katz' $p$ -adic $L$ -functions attached to a CM field $K$ , following two threads. In the first thread, we redefine…

math.NT2020

Notes on the module of Euler systems

Ryotaro Sakamoto

In this paper, we study the module of Euler systems. We determine the ideal of an Iwasawa algebra associated with Euler systems of rank $0$ . We also show that the module of higher…

math.NT2020★ 9 cited

A higher rank Euler system for the multiplicative group over a totally real field

Ryotaro Sakamoto

In this paper, we construct a higher rank Euler system for the multiplicative group over a totally real field by using the Iwasawa main conjecture proved by Wiles. A key ingredient…

Euler Systems for GSp4​×GL2​

L-invariants, p-adic heights and factorization of p-adic L-functions

Notes on the module of Euler systems

A higher rank Euler system for the multiplicative group over a totally real field

Euler Systems for $GSp_{4} \times GL_{2}$

$L$ -invariants, $p$ -adic heights and factorization of $p$ -adic $L$ -functions