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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博士論文

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

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