Miyu Suzuki

activity

20182026

most citedClassification of standard modules with linear periods

8 citations · 11 across the 10 of their papers we have counts for

collaborators

10 papers

math.CO2026

Root lattices over totally real fields

Ryotaro Sakamoto, Miyu Suzuki, Hiroyoshi Tamori

A root lattice is a finite rank $Z$ -lattice generated by elements $x$ satisfying $x \cdot x = 2$ . It is well-known that the root lattices have an $A D E$ classification and the…

math.RT2025

Quaternionic symplectic model for discrete series representations

Nadir Matringe, Miyu Suzuki

Let $D$ be the quatenion division algebra over a non-Archimedean local field $F$ of characteristic zero and odd residual characterisitc. We show that an irreducible discrete series…

math.RT2025

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods

Nadir Matringe, Vincent Sécherre, Shaun Stevens +1

For a non-Archimedean locally compact field $F$ of odd residue characteristic and characteristic $0$ , we prove a conjecture of D. Prasad predicting that, for an integer $n \geq 1$ …

math.RT2023★ 1 cited

A reformulation of the conjecture of Prasad and Takloo-Bighash

Miyu Suzuki

Prasad and Takloo-Bighash proposed a conjecture which predicts a necessary condition in terms of epsilon factors for representations of $GL_{n} (F)$ and its inner forms to ha…

math.NT2022

Epsilon dichotomy for linear models: the Archimedean case

Miyu Suzuki, Hiroyoshi Tamori

Let $G = GL_{2 n} (R)$ or $G = GL_{n} (H)$ and $H = GL_{n} (C)$ regarded as a subgroup of $G$ . Here, $H$ is the quaternion division…

math.NT2022★ 2 cited

Distribution of toric periods of modular forms on definite quaternion algebras

Miyu Suzuki, Satoshi Wakatsuki, Shun'ichi Yokoyama

Let $D$ be a definite quaternion algebra over $Q$ and $O$ an Eichler order in $D$ of square-free level. We study distribution of the toric periods of algebraic m…

math.NT2021

Explicit mean value theorems for toric periods and automorphic $L$ -functions

Miyu Suzuki, Satoshi Wakatsuki

Let $F$ be a number field and $D$ a quaternion algebra over $F$ . Take a cuspidal automorphic representation $π$ of $D_{A}^{\times}$ with trivial central character and a cusp…

math.NT2020★ 8 cited

Classification of standard modules with linear periods

Miyu Suzuki

Suppose that $F$ is a non-Archimedean local field and $D$ is a central division algebra over $F$ . Let $n$ be a positive integer. We show a classification modulo essentially square-…

math.NT2020

Zeta functions and nonvanishing theorems for toric periods on $GL_{2}$

Miyu Suzuki, Satoshi Wakatsuki

Let $F$ be a number field and $D$ a quaternion algebra over $F$ . Take a cuspidal automorphic representation $π$ of $D_{A}^{\times}$ with trivial central cahracter. We study th…

math.NT2018

Quaternion distinguished generic representations of $GL_{2 n}$

Miyu Suzuki

Let $E / F$ be a quadratic extension of non-Archimedean local fields of characteristic 0. Let $D$ be the unique quaternion division algebra over $F$ and fix an embedding of $E$ to $D…

Root lattices over totally real fields

Quaternionic symplectic model for discrete series representations

Discrete series representations of quaternionic GLn​(D) with symplectic periods

A reformulation of the conjecture of Prasad and Takloo-Bighash

Epsilon dichotomy for linear models: the Archimedean case

Distribution of toric periods of modular forms on definite quaternion algebras

Explicit mean value theorems for toric periods and automorphic L-functions

Classification of standard modules with linear periods

Zeta functions and nonvanishing theorems for toric periods on GL2​

Quaternion distinguished generic representations of GL2n​

Discrete series representations of quaternionic $GL_{n} (D)$ with symplectic periods

Explicit mean value theorems for toric periods and automorphic $L$ -functions

Zeta functions and nonvanishing theorems for toric periods on $GL_{2}$

Quaternion distinguished generic representations of $GL_{2 n}$