A Computational Introduction to Number Theory and
By Victor Shoup (Cambridge University Press, 2005). Full text free in PDF.
A Friendly Introduction to Number Theory
J.H. Silverman. Contents, preface, errata, further material.
Algorithmic Number Theory
Eric Bach and Jeffrey Shallit. Errata, bibliography in BibTeX format.
An Introduction to Number Theory
By G. Everest and T. Ward. Springer, 2005. Table of contents and introduction in PDF.
An Invitation to Arithmetic Geometry
Dino Lorenzini. Additions, corrections, review, preface.
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.
Antwerp IV
Modular Forms of One Variable vol.IV, Bryan Birch and Willem Kuyk edd (Springer) scanned by William Stein.
Area, Lattice Points, and Exponential Sums
Martin Huxley (OUP/LMS, 1996). Author's page with summary and errata.
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.
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.
Fundamental Number Theory with Applications
Richard A. Mollin. Contents.
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.
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. PostScript.
Notes on Fermat's Last Theorem
Alf van der Poorten (Wiley, 1996). Contents, reviews.
Number Theory from an Analytic Point of View
By Badih Ghusayni. Table of contents, ordering information. English with French translation.
Paul Garrett's Crypto and Number Theory Lectu
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.
Prime Numbers
By Richard Crandall and Carl Pomerance. Table of contents, with Primekit, the associated Mathematica software to order on-line.
Primes of the Form x^2 + ny^2
By David A. Cox, Amherst College (Wiley, 1989). Errata.
Problems in Elementary Number Theory
A collection of interesting questions by Hojoo Lee (PS/PDF).
Reciprocity Laws from Euler to Eisenstein
Franz Lemmermeyer (Springer, 2000). Contents, bibliography, errata.
Recurrence Sequences
Graham Everest, Alf van der Poorten, Igor Shparlinski and Thomas Ward (AMS, 2003). AMS Surveys and Monographs, volume 104. Table of contents and introduction (PDF, HTML), reviews.
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 Prime Number Theorem
By G.J.O. Jameson, Cambridge University Press (2003). Preface, table of contents, chapter introductions; errata.
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.