Ryoto Tange

activity

20152026

most citedOn certain L-functions for deformations of knot group representations

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.GT2026

Integrality of genus- $g$ indices with adjoint Reidemeister torsions of twist knots

Ryoto Tange, Yuji Terashima, Yoshikazu Yamaguchi

We consider the sum of the adjoint Reidemeister torsions and prove the integrality for twist knots and the meridian. We also give some concrete examples of the generating functions…

math.GT2025

Liminal $SL_{2} Z_{p}$ -representations and odd-th cyclic covers of genus one two-bridge knots

Honami Sakamoto, Ryoto Tange, Jun Ueki

Let $p$ be a prime number and let $K$ be a genus one two-bridge knot. In the spirit of arithmetic topology, we observe that if $p$ divides the size of the 1st homology group of som…

math.GT2024

On the Burde--de Rham theorem for finitely presented pro- $p$ groups

Yasushi Mizusawa, Ryoto Tange, Yuji Terashima

We consider the Burde--de Rham theorem for finitely presented pro- $p$ groups under the assumption that the total degrees of all relators are $0$ . We also give some concrete example…

math.GT2023

Multiplicity of non-acyclic $SL_{2}$ -representations and L-functions of the odd-twisted Whitehead links

Léo Bénard, Ryoto Tange, Anh T. Tran +1

We study the divisor of the Reidemeister torsion on the variety of irreducible $SL_{2} C$ -characters of certain knots and links, and provide a geometric interpretation…

math.GT2022

On adjoint homological Selmer modules for SL $_{2}$ -representations of knot groups

Takahiro Kitayama, Masanori Morishita, Ryoto Tange +1

We introduce the adjoint homological Selmer module for an SL $_{2}$ -representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module fo…

math.GT2022

Twisted Iwasawa invariants of knots

Ryoto Tange, Jun Ueki

Let $p$ be a prime number and $m$ an integer coprime to $p$ . In the spirit of arithmetic topology, we introduce the notions of the twisted Iwasawa invariants $λ, μ, ν$ of ${\rm GL}…

math.GT2020

Non-acyclic $SL_{2}$ -representations of twist knots, $- 3$ -Dehn surgeries, and $L$ -functions

Ryoto Tange, Anh T. Tran, Jun Ueki

We study irreducible $SL_{2}$ -representations of twist knots. We first determine all non-acyclic $SL_{2} (C)$ -representations, which turn out to lie on a line denot…

math.GT2015★ 2 cited

On certain L-functions for deformations of knot group representations

Takahiro Kitayama, Masanori Morishita, Ryoto Tange +1

We study the twisted knot module for the universal deformation of an $SL_{2}$ -representation of a knot group, and introduce an associated $L$ -function, which may be seen as an…

Integrality of genus-g indices with adjoint Reidemeister torsions of twist knots

Liminal SL2​Zp​-representations and odd-th cyclic covers of genus one two-bridge knots

On the Burde--de Rham theorem for finitely presented pro-p groups

Multiplicity of non-acyclic SL2​-representations and L-functions of the odd-twisted Whitehead links

On adjoint homological Selmer modules for SL2​-representations of knot groups