The research group focuses on the arithmetic of special values of various L-functions and their p-adic counterparts, specifically p-adic L-functions. Research areas include the vanishing of µ-invariants of cyclotomic p-adic L-functions, non-vanishing of special L-values with cyclotomic twists, horizontal non-vanishing of L-values, algebraic-differential independence of p-adic L-functions, and the distribution of continued fractions.

본 연구 그룹은 다양한 L-함수의 특수 값과 그 p-adic 대응물, 특히 p-adic L-함수의 산술에 중점을 둔다. 주요 연구 분야는 cyclotomic p-adic L-함수의 µ-invariant 소멸, cyclotomic twists를 갖는 특수 L-값의 non-vanishing, L-값의 수평적 non-vanishing, p-adic L-함수의 대수 미분 독립성 및 continued fractions의 분포를 포함한다.

Continued fraction expansions of two real numbers with small difference

Dynamics of continued fractions and distribution of modular symbols

Cyclotomic fields are generated by cyclotomic Hecke L-values of totally real fields

A proof of the conjecture of Mazur-Rubin-Stein

Quantitative non-vanishing mod p of Dirichlet L-values

On the indivisibility of derived Kato’s Euler systems and the main conjecture for modular forms

Non-vanishing of special L-values of cusp forms on GL(2) with totally split prime power twists

Generation of cyclotomic Hecke fields by modular L-values with cyclotomic twists

Another note on ”Euclidean algorithms are Gaussian” by V. Baladi and B. Vallée

Distance sets of two subsets of vector spaces over finite fields

The special values of Dirichlet L-functions as an analogue of the Iwasawa power series

A study on functional independence of the Iwasawa power series

Cuspidal class number of the tower of modular curves X1(Npn)

Borel’s conjecture and the transcendence of the Iwasawa power series

Derivative of power series attached to Γ-transform of p-adic measures

Homological interpretation of a theorem of L. Washington

Modular symbols and modular L-values with cyclotomic twists

Algebraic independence of Iwasawa power series

Cyclotomic fields are generated by cyclotomic Hecke L-values of totally real fields, II

Study on the distribution of Lochs' variable using the transfer operator method

Dynamics of continued fractions and distribution of modular symbols, II

Cuspidal class number of the tower of modular curves X 1 (Np n)

Another note on “Euclidean algorithms are Gaussian” by V. Baladi and B. Vallée

Borel's conjecture and the transcendence of the Iwasawa power series

The special values of Dirichlet L-functions as an analogue of the Iwasawa power series.

Quantitative non-vanishing of Dirichlet L -values modulo p

Non-vanishing of special L-values of cusp forms on GL (2) with totally split prime power twists

Non-vanishing mod p of special L-values

Cyclotomic fields are generated by cyclotomic Hecke {\it L}-values of totally real fields, II

Statistics of continued fractions

Hae-Sang Sun

Professor

UNIST Number Theory Group

교수님 소개

선해상

연구실 소개

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Dynamics of continued fractions and distribution of modular symbols

Cyclotomic fields are generated by cyclotomic Hecke L-values of totally real fields

A proof of the conjecture of Mazur-Rubin-Stein

연구실 보유 특허

대학별 입시끈

우리 연구실 모집

교수님 소개

선해상

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Dynamics of continued fractions and distribution of modular symbols

Cyclotomic fields are generated by cyclotomic Hecke L-values of totally real fields

A proof of the conjecture of Mazur-Rubin-Stein

연구실 보유 특허

최근 3년간 연구실적 높은 연구실

대학별 입시끈

우리 연구실 모집