Representations of integers by integral quadratic forms

분야Field	2018 Math Colloquim
날짜Date	2018-11-02 ~ 2018-11-02	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host
연사Speaker	Byeongkweon Oh	소속Affiliation	SNU
TOPIC	Representations of integers by integral quadratic forms
소개 및 안내사항Content	<1st talk> Title: Representations of integers by integral quadratic forms < 2nd talk> Title: A sum of squares not divisible by a prime Abstract: Let p be a prime. We define S(p) the smallest number k such that every positive integer is a sum of at most k squares of integers that are not divisible by p. In this talk, we show that S(2) = 10, S(3) = 6, S(5) = 5, and S(p) = 4 for any prime p greater than 5. In particular, we show that every positive integer is a sum of at most four squares not divisible by 5, except the unique positive integer 79. This is a joint work with Kyoungmin Kim.

학회명Field	Representations of integers by integral quadratic forms
날짜Date	2018-11-02 ~ 2018-11-02	시간Time	15:50 ~ 18:00
장소Place	Math. Bldg. 404	초청자Host
소개 및 안내사항Content	<1st talk> Title: Representations of integers by integral quadratic forms < 2nd talk> Title: A sum of squares not divisible by a prime Abstract: Let p be a prime. We define S(p) the smallest number k such that every positive integer is a sum of at most k squares of integers that are not divisible by p. In this talk, we show that S(2) = 10, S(3) = 6, S(5) = 5, and S(p) = 4 for any prime p greater than 5. In particular, we show that every positive integer is a sum of at most four squares not divisible by 5, except the unique positive integer 79. This is a joint work with Kyoungmin Kim.

성명Field	Representations of integers by integral quadratic forms
날짜Date	2018-11-02 ~ 2018-11-02	시간Time	15:50 ~ 18:00
소속Affiliation	SNU	초청자Host
소개 및 안내사항Content	<1st talk> Title: Representations of integers by integral quadratic forms < 2nd talk> Title: A sum of squares not divisible by a prime Abstract: Let p be a prime. We define S(p) the smallest number k such that every positive integer is a sum of at most k squares of integers that are not divisible by p. In this talk, we show that S(2) = 10, S(3) = 6, S(5) = 5, and S(p) = 4 for any prime p greater than 5. In particular, we show that every positive integer is a sum of at most four squares not divisible by 5, except the unique positive integer 79. This is a joint work with Kyoungmin Kim.

성명Field	Representations of integers by integral quadratic forms
날짜Date	2018-11-02 ~ 2018-11-02	시간Time	15:50 ~ 18:00
호실Host		인원수Affiliation	Byeongkweon Oh
사용목적Affiliation		신청방식Host	SNU
소개 및 안내사항Content	<1st talk> Title: Representations of integers by integral quadratic forms < 2nd talk> Title: A sum of squares not divisible by a prime Abstract: Let p be a prime. We define S(p) the smallest number k such that every positive integer is a sum of at most k squares of integers that are not divisible by p. In this talk, we show that S(2) = 10, S(3) = 6, S(5) = 5, and S(p) = 4 for any prime p greater than 5. In particular, we show that every positive integer is a sum of at most four squares not divisible by 5, except the unique positive integer 79. This is a joint work with Kyoungmin Kim.