?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
Extra Form
일정시작 2022-05-13
배경색상 #FF5733
  • 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

List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 37547
102 [QSMS Seminar 2022.03.04 (시간변경)] Introduction to Supersymmetric Field Theories qsms 2022.02.15 18675
101 [QSMS Seminar 2022.04.05] Trialities of W-algebras qsms 2022.02.15 18617
100 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs qsms 2022.03.14 18117
99 [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 18522
98 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 18054
97 [QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal qsms 2022.03.25 18023
96 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 18469
95 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 19886
94 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 18019
93 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups qsms 2022.04.12 20997
» [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three qsms 2022.04.12 21177
91 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves qsms 2022.04.19 20251
90 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 17804
89 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 19063
88 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 18343
87 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 18773
86 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 18026
85 [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture qsms 2022.05.18 17900
84 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 17584
83 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 18387
Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9