조회 수 1917 추천 수 0 댓글 0
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2021-05-28
일정종료 2021-05-28
배경색상 #FF5733

Date:  5월 28일 (금) 15:30~16:30

Place:  Zoom (ID: 818 0514 4375)

Speaker : 박윤경 (서울과학기술대학교)

Title: Ramanujan continued fractions of order sixteen

 

Abstract:

We study the continued fractions $I_1(\tau)$ and $I_2(\tau)$ of order sixteen by adopting the theory of modular functions. These functions are analogues of Rogers--Ramanujan continued fraction $r(\tau)$ with modularity and many interesting properties. Here we prove the modularities of $I_1(\tau)$ and $I_2(\tau)$ to find the relation with the generator of the field of modular functions on $\Gamma_0(16)$. Moreover we prove that the values $2(I_1(\tau)^2 + 1/I_1(\tau)^2)$ and $2(I_2(\tau)^2+1/I_2(\tau)^2)$ are algebraic integers for certain imaginary quadratic quantity $\tau$.

 

 

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 2461
142 [2021 KMS Annual Meeting] Related talks qsms 2021.10.05 1160
141 [2021 KMS Spring Meeting] Related talks qsms 2021.04.30 4765
140 [2022 Global KMS International Conference 10/19 ~ 10/21] Related talks qsms 2023.01.05 562
139 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 991
138 [BK21-QSMS Toric Geometry Seminar] Moment Polytope qsms 2022.01.03 1094
137 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs qsms 2022.03.14 811
136 [KMS Specical Conference with 2022 Fields Medalists] Related talks qsms 2023.10.11 396
135 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 834
134 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 927
133 [QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes qsms 2022.12.27 524
132 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 550
131 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 858
130 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 671
129 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 541
128 [QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories qsms 2022.12.02 568
127 [QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties qsms 2023.03.24 520
126 [QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts qsms 2023.04.21 547
125 [QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts qsms 2023.05.26 509
124 [QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules qsms 2023.10.13 372
123 [QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability qsms 2023.11.10 375
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8