http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Some Generalizations of Beukers' Integrals
Petros Hadjicostas 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.2
Beukers[3] used some double integrals to give an elegant proof to Apery's result, which states that ζ(3) is irrational. In this paper, based on his methods, we generalize Beukers' integrals (although we do not prove the irrationality of ζ(2n+1) for positive integer n). The evaluaton of these integrals is achieved by using an expansion of an infinite geometric series and differentiating under the integral sign.