| 講演者 | 小松尚夫氏（河南省科学院数学研究所） |
| 題目 | The number of primes in a numerical semigroup |
| 日時 | 2025年8月27日（水） 16:30 ～17:30 |
| 場所 | 東京理科大学野田キャンパス4号館3階数理科学科セミナー室 |
| 概要 | For two coprime positive integers a and b, let S(a,b) be the set of all integers of the form a u + b v, where u and v are nonnegative integers. It is well known that every integer > a b-a-b is in S(a, b). In this talk, we consider prime numbers less than or equal to a b-a-b, then study the ratio between the number of prime numbers not in S(a,b) and the number of prime numbers in S(a,b). Furthermore, we can give general result for generalized S_l(a,b), that is the set of all integers which can be written in the form a u+b v in more than l ways. |
| 共催 | 先端的代数学融合研究部門 野田代数セミナー， 数理連携プロジェクト |
