On the mean value formulas for the Riemann zeta-function リーマン・ゼータ関数の平均値公式について

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Author

    • 木内, 功 キウチ, イサオ

Bibliographic Information

Title

On the mean value formulas for the Riemann zeta-function

Other Title

リーマン・ゼータ関数の平均値公式について

Author

木内, 功

Author(Another name)

キウチ, イサオ

University

慶應義塾大学

Types of degree

博士 (理学)

Grant ID

乙第2573号

Degree year

1993-03-05

Note and Description

博士論文

Table of Contents

  1. 論文目録 / (0001.jp2)
  2. CONTENTS / (0005.jp2)
  3. Notations and Definitions. / (0006.jp2)
  4. I.Introduction. / p1 (0010.jp2)
  5. 1.1.Historical survey. / p1 (0010.jp2)
  6. 1.2.Statement of results. / p12 (0021.jp2)
  7. II.Mean value results for R(½+it;t/2π). / p22 (0031.jp2)
  8. 2.1.Application of Voronoi formulas. / p22 (0031.jp2)
  9. 2.2.A Lemma. / p29 (0038.jp2)
  10. 2.3.Proof of Theorem 1. / p31 (0040.jp2)
  11. 2.4.Proof of Theorem 2. / p38 (0047.jp2)
  12. III.Power moments for |R(½+it;t/2π)|. / p43 (0052.jp2)
  13. 3.1.Proof of Theorem 3. / p43 (0052.jp2)
  14. IV.Mean-square for X(½-it)R(½+it;t/2π). / p45 (0054.jp2)
  15. 4.1.Some Lemmas. / p45 (0054.jp2)
  16. 4.2.Proof of Theorem 4. / p50 (0059.jp2)
  17. 4.3.Proof of Theorem 5. / p54 (0063.jp2)
  18. Acknowledgement. / p58 (0067.jp2)
  19. References. / p59 (0068.jp2)
4access

Codes

  • NII Article ID (NAID)
    500000093938
  • NII Author ID (NRID)
    • 8000000094164
  • DOI(NDL)
  • NDLBibID
    • 000000258252
  • Source
    • NDL ONLINE
    • NDL Digital Collections
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