ベルヌーイ数とその応用の研究
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Author
Bibliographic Information
- Title
-
ベルヌーイ数とその応用の研究
- Author
-
山口, 周
- Author(Another name)
-
ヤマグチ, イタル
- University
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法政大学
- Types of degree
-
博士 (工学)
- Grant ID
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乙第91号
- Degree year
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1996-03-24
Note and Description
博士論文
Table of Contents
- 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)