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1.

図書
図書
1. P-adic numbers, p-adic analysis, and zeta-functions. 2nd ed (: U.S. ; : Germany)
Neal Koblitz
出版情報: New York ; Tokyo : Springer-Verlag, c1984  xii, 150 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 58
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目次情報: 続きを見る
p-adic numbers / 1：
p-adic interpolation of the Riemann zeta- function / 2：
Building up / 3：
p-adic power series / 4：
Rationality of the zeta-function of a set of equations over a finite field / 5：
p-adic numbers / 1：
p-adic interpolation of the Riemann zeta- function / 2：
Building up / 3：
2.

図書
図書
2. The Riemann zeta-function : the theory of the Riemann zeta-function with applications
Aleksandar Ivić
出版情報: New York : Wiley, c1985  xvi, 517 p. ; 25 cm
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3.

図書
図書
3. The theory of the Riemann zeta-function. 2nd ed. / rev. by D.R. Heath-Brown
by E.C. Titchmarsh
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1986  x, 412 p. ; 24 cm
シリーズ名: Oxford science publications
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目次情報: 続きを見る
The Zeta Function and the Dirichlet Series Related to It / I：
The Analytic Character of Zetas and the Functional Equation / II：
The Theorem of Hadamard and De La Vallee Poussin, and Its Consequences / III：
Approximate Formulae / IV：
The Order of Zetas in the Critical Strip VI. Vinogradov's Method / V：
Mean-Value Theorems / VII：
(Capital Omega) Theorems / VIII：
The General Distribution of Zeros / IX：
The Zeros on the Critical Line / X：
The General Distribution of Values of Zetas / XI：
Divisor Problems / XII：
The Lindelof Hypothesis / XIII：
Consequences of the Riemann Hypothesis / XIV：
Calculations Relating to the Zeros / XV：
The Zeta Function and the Dirichlet Series Related to It / I：
The Analytic Character of Zetas and the Functional Equation / II：
The Theorem of Hadamard and De La Vallee Poussin, and Its Consequences / III：
4.

図書
図書
4. An introduction to the theory of the Riemann zeta-function
S.J. Patterson
出版情報: Cambridge ; New York : Cambridge University Press, 1988  xiii, 156 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 14
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目次情報: 続きを見る
Historical introduction / 1：
The Poisson summation formula and the functional equation / 2：
The Hadamard product formula and 'explicit formulae' of prime number theory / 3：
The zeros of the zeta function and the prime number theorem / 4：
The Riemann hypothesis and the Lindel÷f hypothesis / 5：
The approximate functional equation / 6：
Appendix
Fourier theory
The Mellin transform
An estimate for certain integrals
The gamma function
Integral functions of finite order
Borel-Caratheodory theorems
Littlewood's theorem / 7：
Historical introduction / 1：
The Poisson summation formula and the functional equation / 2：
The Hadamard product formula and 'explicit formulae' of prime number theory / 3：
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