Number Theory Books

Abelian Varieties
by J. S. Milne, 2008, 172 pages, 1.2MB, PDF

Algebraic Number Theory
by J.S. Milne, 2008, 163 pages, 1.1MB, PDF

Algebraic Number Theory and Class Field Theory
by Holden Lee, 2012, 341 pp, 2.3MB, PDF

Algorithmic Number Theory
by J.P. Buhler, P. Stevenhagen, 2008, 662 pages, PDF

Analytic Number Theory
by Giuseppe Rauti, 2013, 96 pp, 580KB, PDF

Analytic Number Theory
by Kiran Kedlaya, 2007, PDF

Analytic Number Theory: A Tribute to Gauss and Dirichlet
edited by William Duke, Yuri Tschinkel, 2007, 266 pages, 2.6MB, PDF

Arithmetic Duality Theorems
by J.S. Milne, 2006, 347 pages, 2MB, PDF

Circulants
by Alun Wyn-jones, 2008, 149 pages, PDF

Class Field Theory
by J. S. Milne, 2008, 287 pages, 1.7MB, PDF

Collections of Problems on Smarandache Notions
by Charles Ashbacher, 1996, 75 pages, 1.7MB, PDF

Comments and topics on Smarandache notions and problems
by Kenichiro Kashihara, 1996, 50 pages, 1.4MB, PDF

A Computational Introduction to Number Theory and Algebra
by Victor Shoup, 2005, 534 pages, 3.5MB, PDF

Computer analysis of number sequences
by Henry Ibstedt, 1998, 86 pages, 2.2MB, PDF

A Course In Algebraic Number Theory
by Robert B. Ash, 2003, PDF

Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory
by Florentin Smarandache, 2000, 84 pages, 2.7MB, PDF

Diophantine Analysis
by R. D. Carmichael, 1915, 120 pages, 630KB, PDF

Distribution of Prime Numbers
by W W L Chen, 2003, PDF

Elementary Number Theory
by William Stein, 2004, 166 pages, 1.3MB, PDF

Elementary Number Theory
by William Edwin Clark, 2002, 129 pages, 750KB, PDF

Elementary Number Theory
by W W L Chen, 2003, PDF

Elementary Theory of Numbers
by Waclaw Sierpinski, 1964, PDF

Elliptic Curves over Function Fields
by Douglas Ulmer, 2011, 72 pages, 670KB, PDF

Essays on the Theory of Numbers
by Richard Dedekind, 1901, 78 pages, 460KB, PDF

Fibonacci Numbers and Nature
by Ron Knott, 2008

A Friendly Introduction to Number Theory
by Joseph H. Silverman, 2012, 56 pp, multiple PDF files

Geometric Theorems and Arithmetic Functions
by Jozsef Sandor, 2002, 55 pages, 1.4MB, PDF

Geometry of Numbers with Applications to Number Theory
by Pete L. Clark, 2013, 138 pp, 700KB, PDF

Harmonic Analysis, the Trace Formula, and Shimura Varieties
edited by J. Arthur, D. Ellwood, R. Kottwitz, 2005, 706 pages, 4.8MB, PDF

Heegner Points and Rankin L-Series
edited by Henri Darmon, Shou-Wu Zhang, 2004, PDF

An Introduction to Algebraic Number Theory
by F. Oggier, 2010, 95 pp, 560KB, PDF

Introduction to Algebraic Number Theory
by William Stein, 2005, 140 pages, 820KB, PDF

Introduction to Analytic Number Theory
by A.J. Hildebrand, 2006, 197 pages, 820KB, PDF

Introduction to Shimura Varieties
by J.S. Milne, 2004, 149 pages, 1MB, PDF

An Introduction to the Continued Fraction
by Dr Ron Knott, 2009

An Introduction to the Smarandache Function
by Charles Ashbacher, 1995, 62 pages, 1.6MB, PDF

An Introduction to the Theory of Numbers
by Leo Moser, 2007, 95 pages, 0.5MB, PDF

An Introductory Course in Elementary Number Theory
by Wissam Raji, 2013, 171 pp, 700KB, PDF

Lectures on a Method in the Theory of Exponential Sums
by M. Jutila, 1987, 134 pp, 750KB, PDF

Lectures on Analytic Number Theory
by H. Rademacher, 1954, 283 pages, 1.4MB, PDF

Lectures on Field Theory and Ramification Theory
by Sudhir R. Ghorpade, 2008, 36 pp, 360KB, PDF

Lectures on Forms of Higher Degree
by J.I. Igusa, 1978, 169 pp, 890KB, PDF

Lectures On Irregularities Of Distribution
by Wolfgang M. Schmidt, 1977, 137 pp, 700KB, PDF

Lectures on Modular Forms
by Igor V. Dolgachev, 1998, 820KB, PDF

Lectures on Shimura Varieties
by A. Genestier, B.C. Ngo, 2006, 50 pages, 400KB, PDF

Lectures on Siegel Modular Forms and Representation by Quadratic Forms
by Y. Kitaoka, 1986, 197 pp, 1.1MB, PDF

Lectures on Sieve Methods
by H.E. Richert, 1976, 216 pp, 1.2MB, PDF

Lectures on Sieve Methods and Prime Number Theory
by Y. Motohashi, 1983, 181 pp, 890KB, PDF

Lectures on The Riemann Zeta-Function
by K. Chandrasekharan, 1953, 154 pages, 650KB, PDF

Lectures on Topics in Algebraic Number Theory
by Sudhir R. Ghorpade, 2002, 83 pp, 1.5MB, PDF

Modular Forms: A Computational Approach
by William A. Stein, 2007, 282 pages, 2.4MB, PDF

Modular Forms, Hecke Operators, and Modular Abelian Varieties
by Kenneth A. Ribet, William A. Stein, 2003, 154 pages, 880KB, PDF

Modular Functions and Modular Forms
by J. S. Milne, 2009, 129 pages, 960KB, PDF

Notes on Fermionic Fock Space for Number Theorists
by Greg W. Anderson, 2000, 99 pages, 460KB, PDF

Notes on the Poisson formula
by A. N. Parshin, 2010, 46 pages, 420KB, PDF

Notes on the Theory of Algebraic Numbers
by Steve Wright, 2015, 127 pp, 710KB, PDF

On Advanced Analytic Number Theory
by C.L. Siegel, 1961, 241 pp, 1.4MB, PDF

On Some of Smarandache's Problems
by Krassimir Atanassov, 1999, 89 pages, 4.3MB, PDF

Pluckings from the tree of Smarandache: Sequences and functions
by Charles Ashbacher, 1998, 80 pages, 0.8MB, PDF

Real Numbers and Fascinating Fractions
by N. M. Beskin, 1986

A set of new Smarandache functions, sequences and conjectures in number theory
by Felice Russo, 2000, 114 pages, 0.4MB, PDF

The Smarandache Function
by C. Dumitrescu, V. Seleacu, 1996, 137 pages, 3MB, PDF

Smooth Numbers: Computational Number Theory and Beyond
by Andrew Granville, 2008, 58 pp, 390KB, PDF

Surfing on the ocean of numbers
by Henry Ibstedt, 1997, 76 pages, 2.8MB, PDF

Theoretic Arithmetic
by Thomas Taylor, A. J. Valpy, 1816, 286 pages, 22MB, PDF

The Theory of Numbers
by R. D. Carmichael, 1914, 85 pages, PDF/TeX

Topics in Algebra and Number Theory with Applications to Abelian Difference Sets
by S. E. Payne, 2005, 140 pages, 590KB, PDF

Topics in the Theory of Quadratic Residues
by Steve Wright, 2014, 160 pp, 960KB, PDF