Books about the Theory of Numbers

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Algorithmic Number Theory
Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.
Analytic Number Theory and Applications
To Prof. Anatolii Alexeevich Karatsuba on the occasion of his 60th birthday. A collection of papers in DVI and PostScript format.
Automorphic Forms and Representations
Dan Bump. Errata, contents, virtual study group.
Collected Papers of Sarvadaman Chowla
Edited by James G. Huard and Kenneth S. Williams. Contents.
A Computational Introduction to Number Theory and Algebra
By Victor Shoup (Cambridge University Press, 2005). Full text free in PDF, list of errata, supplementary exercises.
Discovering Number Theory
A textbook by John Jones and Jeff Holt.
eBooks in Number Theory
Mainly connected with Smarandache problems. PDF, HTML, WORD, WP, TeXT formats.
Elliptic Curves: Number Theory and Cryptography
By Larry Washington (Chapman+Hall/CRC, 2003). Contents, errata.
Factorizations of b^n+/-1
b=2,3,5,6,7,10,11,12 Up to High Powers.By John Brillhart, D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman and S.S. Wagstaff, Jr. Third edition, AMS, 2002. Complete text available for free download in PDF.
A Friendly Introduction to Number Theory
J.H. Silverman. Contents, preface, errata, further material.
Gauss and Jacobi Sums
Bruce C. Berndt, Ronald J. Evans, and Kenneth S. Williams (Wiley, 1998). Contents, errata, remarks, reviews.
Introduction to Cyclotomic Fields
2nd ed. by Larry Washington (Springer). Errata.
An Introduction to Number Theory
By G. Everest and T. Ward. Springer, 2005. Errata, table of contents and introduction in PDF.
Introduction to the Theory of Numbers
G.H. Hardy and E.M. Wright. Index to the classic text (4th/5th edition 1979) which was never published by OUP. HTML, DVI, PS.
Local Fields and Their Extensions, Second Edition
I.B. Fesenko, S.V. Vostokov. PDF files.
Paul Garrett's Crypto and Number Theory Lecture Notes
Introduction to cryptology, number-theory, and algorithms. Protocols. Symmetric versus asymmetric systems. Stream, block ciphers. One-way functions, signatures. Key management. (Pseudo-) random number generation. Permutation groups. Primes, Euclidean algorithm. Finite fields. Quadratic reciprocity. Discrete logs, RSA. Pseudoprimes, rho method. Elliptic curve methods.
Primes of the Form x^2 + ny^2
By David A. Cox, Amherst College (Wiley, 1989). Errata.
Reciprocity Laws from Euler to Eisenstein
Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.
Sphere Packing, Lattices and Groups
J. H. Conway and N. J. A. Sloane (Springer, 1998). Contents, errata (including a missing page), updated tables and database.
Taming Wild Extensions
By Lindsay N. Childs. Introduction.
The Third Edition of the Cunningham Book
Factorizations of bn ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12, up to High Powers, by John Brillhart, D.H. Lehmer, J.L. Selfridge, Bryant Tuckerman, and S.S. Wagstaff, Jr. An electronic book: links to full text [PDF] and tables.
Voronoi's Impact on Modern Science
Edited by P.Engel and H.Syta. Contents, ordering information.
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