A summation on Bernoulli numbers

University of Taipei > 理學院 > 數學系(含數學教育碩士班) > 期刊論文 > Item 987654321/2685

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題名:	A summation on Bernoulli numbers
作者:	Kwang-Wu Chen 陳光武
貢獻者:	臺北市立教育大學數學資訊教育學系
關鍵詞:	Median Bernoulli numbers Seidel matrix Hankel determinant
日期:	2005
上傳時間:	2009-08-03 12:47:05 (UTC+8)
摘要:	In this paper, our aim is to investigate the summation form of Bernoulli numbers Bn, such as . We derive some basic identities among them. These numbers can form a Seidel matrix. The upper diagonal elements of this Seidel matrix are called “the median Bernoulli numbers”. We determine the prime divisors of their numerators and denominators. And we characterize their ordinary generating function as the unique solution of some functional equation. At last, we also obtain the continued fraction representation of their ordinary generating function and their value of Hankel determinant.
關聯:	Journal of Number Theory, V111(2), p.372-391
顯示於類別:	[數學系(含數學教育碩士班)] 期刊論文

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