[강연주제]
Number theoretic results in a family
[강연내용]
Unconditional results without an unproved hypothesis such as the generalized Riemann hypothesis (GRH) are very weak for an individual number field. But if we consider a family of number fields, one can prove just as strong results as we would assume GRH, in the form: (1) average result in the family; (2) the result is valid for almost all members except for a density zero set. We will explain this philosophy using examples of logarithmic derivatives of L-functions, residues of Dedekind zeta functions, and least primes in a conjugacy class.
• 연사 : 헨리 킴 교수 (University of Toronto)
• 일시 : 2019년 4월 30일(화), 오후 5시
• 장소 : 자연과학대학 본관 417호
• 문의 : 063) 270 –3370 / http://ipam.chonbuk.ac.kr