-
Date : 2022-05-13 (Fri) 16:00
-
Place : 27-325 (SNU)
- Speaker : DoYong Kwon (Chonnam National University)
- Title : A singular function containing all Lagrange numbers less than three
- Abstract : Given a real number $\alpha$, the Lagrange number of $\alpha$ is the supremum of all real numbers $L>0$ for which the inequality $|\alpha -p/q|<(L q^2)^{-1}$ holds for infinitely many rational numbers $p/q$. If Lagrange numbers are less than $3$, then they characterize some badly approximable real numbers in the context of Diophantine approximations. Moreover, they can be arranged as a set $\{l_{p/q}: p/q\in \mathbb{Q}\cap [0,1] \}$ using the Farey index. The present talk considers a singular function devised from Sturmian words. After investigating its regularity and singularity, we demonstrate that this function contains all information on Lagrange numbers less than $3$.
- Website: https://sites.google.com/view/snunt/seminars
2022.04.12 20:10
[SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three
조회 수 48658 추천 수 0 댓글 0
| 일정시작 | 2022-05-13 |
|---|---|
| 배경색상 | #FF5733 |
Prev [SNU Number Theory Seminar 2022-04-15] A note on non-ordinar...
[SNU Number Theory Seminar 2022-04-15] A note on non-ordinar...
2022.04.12by qsms
[SNU Number Theory Seminar 2022-05-06] On an upper bound of t... Next
[SNU Number Theory Seminar 2022-05-06] On an upper bound of t...
2022.04.19by qsms
-
QSMS Mailing List Registration
-
[QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories
-
[QSMS Seminar 2022.04.05] Trialities of W-algebras
-
[BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs
-
[SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$
-
[SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal
-
[QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal
-
[SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes
-
[QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory
-
[QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor
-
[SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups
-
[SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three
-
[SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves
-
[QSMS Monthly Seminar] Quantization of integrable differential difference equations
-
[2022 KMS Spring Meeting] Related talks
-
[QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves
-
[QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications
-
[SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations
-
[SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture
-
[QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links
-
[QSMS Mini-course] Pablo Portilla cuadrado (University of Lille)
