ベルヌーイ数とその応用の研究
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著者
書誌事項
- タイトル
-
ベルヌーイ数とその応用の研究
- 著者名
-
山口, 周
- 著者別名
-
ヤマグチ, イタル
- 学位授与大学
-
法政大学
- 取得学位
-
博士 (工学)
- 学位授与番号
-
乙第91号
- 学位授与年月日
-
1996-03-24
注記・抄録
博士論文
目次
- TABLE OF CONTENTS / (0003.jp2)
- Chapter1.Definitions of Bernoulli numbers. / p1 (0004.jp2)
- §1.Ordinary Bernoulli numbers. / p1 (0004.jp2)
- §2.Generalized Bernoulli numbers belonging to the Dirichlet character χ. / p6 (0007.jp2)
- §3.Heigher order Bernoulli numbers. / p10 (0009.jp2)
- Chapter2.Arithmetics of Bernoulli numbers. / p12 (0010.jp2)
- §1.Dirichlet's L-function. / p12 (0010.jp2)
- §2.The class number formulas in abelian fields. / p22 (0015.jp2)
- §3.The norm residue symbol in prime cyclotomic fields. / p27 (0017.jp2)
- §4.The normalized Eisenstein series of weight k and degree g. / p35 (0021.jp2)
- §5.Power characters in the cyclic field. / p40 (0024.jp2)
- §6.Irregular primes, T-irregular primes and the Bernoulli number conjecture. / p46 (0027.jp2)
- §7.Takagi's exponents and Takagi-Hasse formula. / p55 (0031.jp2)
- §8.Properly irregular cyclotomic fields. / p61 (0034.jp2)
- §9.Iwasawa Invariants. / p67 (0037.jp2)
- Appendix 1.Modern Bernoulli numbers on number theory. / p72 (0040.jp2)
- §1.Bernoulli distribution. / p72 (0040.jp2)
- §2.Mazur measure. / p76 (0042.jp2)
- §3.Fourier coefficients of Siegel's Eisenstein series. / p78 (0043.jp2)
- §4.The trace of Hecke operators on the space of cusp forms of weight one. / p81 (0044.jp2)
- Appendix 2.Application to Physics. / p84 (0046.jp2)
- §1.Scattering Bargmann-potential in quantum theory. / p84 (0046.jp2)
- §2.Cosmic model in general relativitical cosmology. / p86 (0047.jp2)