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1.

図書
図書
1. Notes on crystalline cohomology (: [pbk.] ; : hardcover)
by Pierre Berthelot, Arthur Ogus
出版情報: Princeton, N.J. : Princeton University Press, [20--]  1 v. ; 24 cm
シリーズ名: Princeton legacy library
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2.

図書
図書
2. The Lerch zeta-function
Antanas Laurinčikas and Ramūnas Garunkštis
出版情報: Dordrecht : Kluwer Academic, c2002  viii, 189 p. ; 24 cm.
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目次情報: 続きを見る
Preface
Euler Gamma-Function / 1.：
Definition and Analytic Continuation / 1.1：
Representation by an Infinite Product / 1.2：
Functional Equation / 1.3：
Complementary Formula / 1.4：
Asymptotic Formulas / 1.5：
Hypergeometric Function / 1.6：
Notes
Definition of the Lerch Zeta-Function / 2.：
Analytic Continuation / 2.2：
Application of the Euler-Maclaurin Formula / 2.3：
Moments / 3.：
Approximation of L ([lambda], [alpha], s) by a Finite Sum / 3.1：
Montgomery-Vaughan Theorem / 3.2：
Mean Square of L ([lambda], [alpha], s) / 3.3：
Mean Square of L ([lambda], [alpha], s) with Respect to [alpha] / 3.4：
Approximate Functional Equation / 4.：
Proof of the Approximate Functional Equation / 4.1：
Application of the Approximate Functional Equation to the Mean Square of L ([lambda], [alpha], s) / 4.2：
Statistical Properties / 5.：
Limit Theorems on the Complex Plane / 5.1：
Limit Theorems in the Space of Analytic Functions / 5.2：
Joint Limit Theorems in the Space of Analytic Functions / 5.3：
Limit Theorems in the Space of Analytic Functions with Rational [alpha] / 5.4：
Universality / 6.：
Case of Transcendental [alpha] / 6.1：
Case of Rational [alpha] / 6.2：
Joint Universality of Lerch Zeta-Functions / 6.3：
Effectivization Problem of the Universality Theorem / 6.4：
Functional Independence / 7.：
The One-Dimensional Case / 7.1：
Joint Functional Independence / 7.2：
Distribution of Zeros / 8.：
Zero-Free Region on the Right / 8.1：
Zero-Free Regions on the Left / 8.2：
Number of Nontrivial Zeros / 8.3：
Estimates of the Number of Nontrivial Zeros / 8.4：
Sums over Nontrivial Zeros / 8.5：
References
Notation
Subject Index
Preface
Euler Gamma-Function / 1.：
Definition and Analytic Continuation / 1.1：
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