Application of Langlands program to the Linnik problem for automorphic representations

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Application of Langlands program to the Linnik problem for automorphic representations

수리과학부 0 4122
구분 정수론 세미나
일정 2019-10-04(금) 16:00~20:00
세미나실 27동 325호
강연자 최도훈 (고려대)
담당교수 오병권
기타
* 강연시간: 16:00-18:00 The Dirichlet prime number theorem states that if two integers a and b are relatively prime, then there are infinitely many primes of the form an+b. It is a natural question after the Dirichlet theorem to find an upper bound for the smallest prime having the form an+b. Linnik answered the question, which is called `Linnik problem` now. This problem can be stated in terms of a certain character, and so the Linnik problem is extended to a question on automorphic representations. In this talk, I will talk about application of Langalnds program to the Linnik problem for automorphic representations.

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