일정
Representations of integers by integral quadratic forms
기간 : 2018-11-02 ~ 2018-11-02
시간 : 15:50 ~ 18:00
개최 장소 : Math. Bldg. 404
개요
Representations of integers by integral quadratic forms
분야Field | 2018 Math Colloquim | ||
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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 | ||
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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 | ||
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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. |
수학과
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2018-10-30 14:56 ·
조회 577