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1.

図書
図書
1. Elementary number theory, group theory, and Ramanujan graphs (: hb ; : pbk)
Giuliana Davidoff, Peter Sarnak, Alain Valette
出版情報: Cambridge : Cambridge University Press, 2003  viii, 144 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 55
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An overview
Graph theory / 1：
Number theory / 2：
PSL2(q) / 3：
The graphs Xp, q / 4：
4-regular graphs with large girth / Appendix A：
Index
Bibliography
An overview
Graph theory / 1：
Number theory / 2：
2.

図書
図書
2. Dynamical systems on homogeneous spaces
Alexander N. Starkov ; [translated from the Russian by the author]
出版情報: Providence, R.I. : American Mathematical Society, c2000  xv, 243 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 190
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Preliminaries Ergodicity and mixing of homogeneous flows
Dynamics of unipotent flows
Dynamics of nonunipotent flows
Applications to number theory
References
Index
Preliminaries Ergodicity and mixing of homogeneous flows
Dynamics of unipotent flows
Dynamics of nonunipotent flows
3.

図書
図書
3. Elementary methods in number theory
Melvyn B. Nathanson
出版情報: New York ; Berlin : Springer, c2000  xviii, 513 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 195
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4.

図書
図書
4. Lectures on number theory (: alk. paper)
P.G.L. Dirichlet ; supplements by R. Dedekind ; translated by John Stillwell
出版情報: Providence, R.I. : American Mathematical Society, c1999  xx, 275 p. ; 26 cm
シリーズ名: History of mathematics ; v. 16
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On the divisibility of numbers
On the congruence of numbers
On quadratic residues
On quadratic forms Determination of the class number of binary quadratic forms
Some theorems from Gauss's theory of circle division
On the limiting value of an infinite series
A geometric theorem Genera of quadratic forms
Power residues for composite moduli
Primes in arithmetic progressions
Some theorems from the theory of circle division
On the Pell equation Convergence and continuity of some infinite series
Index
On the divisibility of numbers
On the congruence of numbers
On quadratic residues
5.

図書
図書
5. Analytic number theory
Donald J. Newman
出版情報: New York ; Tokyo : Springer, c1998  viii, 76 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 177
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Introduction and dedication
The idea of analytic number theory
The partition function
The Erdos-Fuchs theorem
Sequences without arithmetic progressions
The Waring problem
A "Natural" Proof of the Non-vanishing of L-Series
Simple Analytic Proof of the Prime Number Theorem
Index
Introduction and dedication
The idea of analytic number theory
The partition function
6.

図書
図書
6. Analytic number theory (: hbk ; : pbk)
edited by Y. Motohashi
出版情報: Cambridge : Cambridge University Press, 1997  vi, 382 p. ; 24 cm
シリーズ名: London Mathematical Society lecture note series ; 247
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7.

図書
図書
7. Elements of number theory : including an introduction to equations over finite fields
[by] Kenneth Ireland [and] Michael I. Rosen
出版情報: Tarrrytown-on-Hudson, N.Y. : Bogden & Quigley, [1972]  vi, 169 p ; 24 cm
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8.

図書
図書
8. The number systems : foundations of algebra and analysis
by Solomon Feferman
出版情報: Reading, Mass. : Addison-Wesley, 1964  xii, 418 p ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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9.

図書
図書
9. Analytic and elementary number theory : a tribute to mathematical legend Paul Erdös
edited by K. Alladi ... [et al.]
出版情報: Boston, Mass. ; London : Kluwer, 1998  298 p. ; 25 cm
シリーズ名: Developments in mathematics
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10.

図書
図書
10. Duality in analytic number theory (: hbk ; : pbk)
P.D.T.A. Elliott
出版情報: New York : Cambridge University Press, 1997  xviii, 341 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 122
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Preface
Notation
Introduction
Duality and Fourier analysis / 0：
Background philosophy / 1：
Operator norm inequalities / 2：
Dual norm inequalities / 3：
Exercises: including the large sieve / 4：
The Method of the Stable Dual (1): deriving the approximate functional equations / 5：
The Method of the Stable Dual (2): solving the approximate functional equations / 6：
Exercises: almost linear, almost exponential / 7：
Additive functions of class La: a first application of the method / 8：
Multiplicative functions of the class La: first approach / 9：
Multiplicative functions of the class La: second approach / 10：
Multiplicative functions of the class La: third approach / 11：
Exercises: why the form / 12：
Theorems of Wirsing and Halfsz / 13：
Again Wirsing's theorem / 14：
Exercises: the Prime Number Theorem / 15：
Finitely distributed additive functions / 16：
Multiplicative functions of the class La: mean value zero / 17：
Exercises: including logarithmic weights / 18：
Encounters with Ramanujan's function t(n) / 19：
The operator T on L2 / 20：
The operator T on La and other spaces / 21：
Exercises: the operator D and differentiation; the operator T and the convergence of measures / 22：
Pause: towards the discrete derivative / 23：
Exercises: multiplicative functions on arithmetic progressions / 24：
Wiener phenomenon
Fractional power large sieves; operators involving primes / 25：
Exercises: probability seen from number theory / 26：
Additive functions on arithmetic progressions: small moduli / 27：
Additive functions on arithmetic progressions: large moduli / 28：
Exercises: maximal inequalities / 29：
Shifted operators and orthogonal duals / 30：
Differences of additive functions; local inequalities / 31：
Linear forms of additive functions in La / 32：
Exercises: stability; correlations of multiplicative functions / 33：
Further readings / 34：
R8ckblick (after the manner of Johannes Brahms) / 35：
References
Author index
Subject index
Preface
Notation
Introduction
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