qsms.math.snu.ac.kr - [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions

Extra Form
일정시작	2022-11-04
일정종료	2022-11-04
배경색상	#FF5733

일정시작

2022-11-04

일정종료

2022-11-04

배경색상

#FF5733

Date : 2022-11-04 (Fri) 16:00 ~ 17:00
Place : 27-325 (SNU)
Speaker : Lee, Seul Bee / 이슬비 (IBS-CGP)
Title : Approximations with mod 2 congruence conditions
Abstract :

In the study of Diophantine approximation, a natural question is which rationals p/q minimize |qx-p| with a bounded condition over q. We call such rationals the best approximations. The regular continued fraction gives an algorithm generating the best approximations. From a general perspective, we are interested in the best approximations with congruence conditions on their numerators and denominators. It is known that the continued fraction allowing only even integer partial quotients generates the best approximations whose numerator and denominator have different parity. In this talk, we explain the connection between the best approximations and the Ford circles. Then we explain how we can induce continued fraction algorithms that give the best approximating rationals with congruence conditions of modulo 2. This is joint work with Dong Han Kim and Lingmin Liao.

List of Articles
No.	Subject	Author	Date	Views
Notice	QSMS Mailing List Registration	qsms	2021.09.09	110599
180	weekplan_672_2020 $secret$	qsms	2020.11.18	0
179	[초청강연 2020.11.27] Zeta함수와 L함수에 대한 역사적 고찰II	qsms	2020.11.23	76867
178	[초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰	qsms	2020.11.18	54624
177	[정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV	qsms	2021.07.29	56221
176	[사교위상 초청강연 2021.07.16] Categorical entropy and symplectic geometry	qsms	2021.07.05	54106
175	[SNU Topology seminar 2024-03-20] Topology of singularities of complex hypersurfaces / The monodromy conjecture for simplicial nondegenerate singularities	qsms	2024.03.05	45494
174	[SNU Number Theory Seminiar] 2021.10.15	qsms	2021.09.09	55991
173	[SNU Number Theory Seminiar] 2021.10.08	qsms	2021.08.23	78821
172	[SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility $file$	qsms	2021.10.29	55510
171	[SNU Number Theory Seminiar 2021.11.05] Bianchi modular symbols and p-adic L-functions	qsms	2021.10.20	54484
170	[SNU Number Theory Seminar 6 ~ 7 Feb] Prismatic F-crystals and applications to p-adic Galois representations	qsms	2023.02.13	56425
169	[SNU Number Theory Seminar 31 Mar] Height gap theorem and almost law	qsms	2023.03.02	56496
168	[SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami?	qsms	2023.06.26	55262
167	[SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line	qsms	2023.04.20	55553
166	[SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes	qsms	2022.03.28	53544
165	[SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal	qsms	2022.03.19	53285
164	[SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$	qsms	2022.03.19	54019
163	[SNU Number Theory Seminar 2022-12-02] Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one	qsms	2022.11.28	53415
162	[SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups	qsms	2022.10.24	52770
»	[SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions	qsms	2022.10.27	53248

Author

Notice

QSMS Mailing List Registration