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Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc

Number Theory etc

e-version from emule.com, paper-version from amazon.com  (Pluddites)

Papers on Number Theory etc

Ahlgren, Ramanujan’s Legacy in Number Theory  (free)

Andreescu, Andrica, Number Theory, Structures, Examples, and Problems  (free)

Andrews, Ramanujans Lost Notebook IX, The Partial Theta Function as an Entire Function  (free)

Andrews, Ramanujans Lost Notebook VIII, The Entire Rogers-Ramanujan Function  (free)

anon, Chapter 1, From Kolmogorov’s Theorem on Empirical Distribution to Number Theory  (free)

anon, Chapter 4, Number Theory, Fermats Last Theorem  (free)

anon, Mathematics Olympiad Coachs Seminar, Zhuhai, China  (free)

anon, Number Theory, Tutorial 3, Eulers Function and Eulers Theorem  (free)

anon, Number Theory, Tutorial 4, Representation of Numbers  (free)

Archinard, Exceptional Sets of Hypergeometric Series  (free)

Avdeeva, On the Statistics of Partial Quotients of Finite Continued Fractions  (free)

Babai, Fourier Transform Abelian Groups Number Theory  (free)

Baker, Algebra and Number Theory  (free)

Bell, A Proof of a Partition Conjecture of Bateman and Erdos  (free)

Berndt, Schoenfeld, Periodic Analogues of the Euler-Maclaurin and Poisson Summation Formulas with Applications to Number Theory  (free)

Bhargava, Adiga, Two Generalizations of Ramanujan Continued Fraction Identities  (free)

Bremner, Tzanakis, Lucas Sequences whose 12th or 9th Term is a Square  (free)

Carmichael, The Theory of Numbers  (free)

Chu, Harmonic Number Identities and Hermite-Pade Approximations to the Logarithm Function  (free)

Connes, Marcolli, From Physics to Number Theory via Noncommutative Geometry  (free)

Duemmel, From Calculus to Number Theory  (free)

Erdos, Remarks on Number Theory II, Some Problems on the Sigma Function  (free)

Erdos, Remarks on Number Theory III, On Addition Chains  (free)

Fefferman, Seco, Number Theory and Atomic Densities  (free)

Ford, Recent Progress on the Estimation of Weyl Sums  (free)

Friedman, Ruijsenaars, Shintani-Barnes Zeta and Gamma Functions  (free)

Hall, A Conjecture of Erdos in Number Theory  (free)

Ibstedt, Mainly Natural Numbers  (free)

Kajihara, Euler Transformation Formula for Multiple Basic Hypergeoemtric Series of Type A and Some Applications  (free)

Kandasamy, Groupoids and Smarandache Groupoids  (free)

Karpenkov, On Tori Triangulations Associated with Two-Dimensional Continued Fractions of Cubic Irrationalities  (free)

Kreimer, Dyson-Schwinger Equations, From Hopf Algebras to Number Theory  (free)

Kripke, Flexible Predicates of Formal Number Theory  (free)

Laubenbacher, Pengelley, Number Theory, Fermat’s Last Theorem (9p)  (free)

Laubenbacher, Pengelley, Number Theory, Fermat’s Last Theorem (18p)  (free)

Lefevre, Number and its Algebra, Syllabus of Lectures on the Theory of Number and its Algebra  (free)

Lubelski, Unpublished Results on Number Theory II, Composition Theory of Binary Quadratic Forms  (free)

Mazur, Number Theory as Gadfly  (free)

Mildorf, Olympiad Number Theory, An Abstract Perspective  (free)

Moser, An Introduction to the Theory of Numbers  (free)

Nathanson, An Inverse Problem in Number Theory and Geometric Group Theory  (free)

Ono, Representations of Integers as Sums of Squares  (free)

Putnam, An Unsolvable Problem in Number Theory  (free)

Qi, Chen, A Complete Monotonicity Property of the Gamma Function  (free)

Ramanathan, On some Theorems Stated by Ramanujan  (free)

Robinson, Non-Standard Number Theory, etc  (free)

Royer, A Short Introduction to Links between Random Matrix Theory and Number Theory  (free)

Sato, Number Theory  (free)

Shelton-Jones, The Complex Number Theory of Minkowskian Geometry and the Quaternion Algebras  (free)

Sills, Identities of the Rogers-Ramanujan-Slater Type  (free)

Tarasov, Varchenko, Identities between q-Hypergeometric and Hypergeometric Integrals of Different Dimensions  (free)

Turchin, A Constructive Interpretation of the Full Set Theory  (free)

Weil, Number Theory for Beginners  (free)

Wilkins, Course 311, Part I, Topics in Number Theory (25p)  (free)

Wilkins, Course 311, Part I, Topics in Number Theory (120p)  (free)

Yesilyurt, Four Identities Related to Third Order Mock Theta Functions in Ramanujans Lost Notebook  (free)

Zagier, Zeta Functions in Number Theory  (free)

Zimmer, SIMATH, a Computer Algebra System for Number Theoretic Applications  (free)

Media on Number Theory etc

Benjamin, Discrete Mathematics, Lecture 9, Gateway To Number Theory, Divisibility

Burger, An Introduction to Number Theory, Lecture 1 of 24, Number Theory and Mathematical Research

Burger, An Introduction to Number Theory, Lecture 2 of 24, Natural Numbers and their Personalities

Burger, An Introduction to Number Theory, Lecture 3 of 24, Triangular Numbers and their Progressions

Burger, An Introduction to Number Theory, Lecture 4 of 24, Geometric Progressions Exponential Growth

Burger, An Introduction to Number Theory, Lecture 5 of 24, Recurrence Sequences

Burger, An Introduction to Number Theory, Lecture 6 of 24, The Binet Formula and the Towers of Hanoi

Burger, An Introduction to Number Theory, Lecture 10 of 24, Division Algorithm and Modular Arithmetic

Burger, An Introduction to Number Theory, Lecture 12 of 24, The RSA Encryption Scheme

Burger, An Introduction to Number Theory, Lecture 19 of 24, The Abundance of Irrational Numbers

Hall, Basic Philosophy of Numeration and Number, Pythagorean Theory of Number

Hall, The Human Soul and Archetypal Number, Pythagorean Theory of Number

Hall, The Symbolism of Numbers, Pythagorean Theory of Number

Hall, The Tetractys and the Motion of Number, Pythagorean Theory of Number

Books on Number Theory etc

Adler, Coury, The Theory of Numbers, A Text and Source Book of Problems  (unfree)

Alladi (ed.), Number Theory   (unfree)

Andersen, Set Theory and the Construction of Numbers

Andreescu  et al, 104 Number Theory Problems from the Training of the USA IMO Team  (unfree)

Andreescu, Andrica, Number Theory, Structures, Examples, and Problems  (unfree)

Andrews, Number Theory  (unfree)

anon, Applications of Automorphic Forms to Number Theory

anon, Chapter 1, Dividibility and Indeterminate Equations of  First Degree

Aoki et al (eds.), Number Theory, Dreaming in Dreams  (unfree)

Apostol, Modular Functions and Dirichlet Series in Number Theory, 2nd. edn.  (unfree)

Arkhipov et al, Trigonometric Sums in Number Theory and Analysis  (unfree)

Ash, Gross, Fearless Symmetry, Exposing the Hidden Patterns of Numbers  (unfree)

Bachman, Introduction to p-Adic Numbers and Valuation Theory  (unfree)

Badiou, Number and Numbers  (unfree)

Baker, A Concise Introduction to the Theory of Numbers  (unfree)

Bambah et al (eds.), Number Theory  (unfree)

Beiler, Recreations in the Theory of Numbers, 2nd. edn.  (unfree)

Berndt et al, Gauss and Jacobi Sums  (unfree)

Berndt, Number Theory in the Spirit of Ramanujan  (unfree)

Bogomolov, Tschinkel (eds.),  Geometric Methods in Algebra and Number Theory  (unfree)

Borevich, Shafarevich, Number Theory  (unfree)

Borevich, Shafarevich, Theorie des Nombres

Borwein, Computational Excursions in Analysis and Number Theory  (unfree)

Boulagouaz, Tignol (eds.), Algebra and Number Theory  (unfree)

Cantor, Contributions to the Founding of the Theory of Transfinite Numbers  (unfree)

Carmichael, The Theory of Numbers  (unfree)

Cartier et al (eds.), Frontiers in Number Theory, Physics and Geometry I, On Random Matrices, Zeta Functions and Dynamical Systems  (unfree)

Cartier et al (eds.), Frontiers in Number Theory, Physics, and Geometry II, On Conformal Field Theories, Discrete Groups and Renormalization  (unfree)

Cavagnaro, Haight (eds.), Dictionary of Classical and Theoretical Mathematics  (unfree)

Chowdhury, A First Course in Number Theory  (unfree)

Clark, Foundations and Unique Factorization

Cohen, Number Theory, Vol. I, Tools and Diophantine Equations  (unfree)

Consani, Marcolli (eds.), Noncommutative Geometry and Number Theory,  where Arithmetic Meets Geometry and Physics  (unfree)

Coppel, Number Theory, An Introduction to Mathematics, 2nd. edn.  (unfree)

Coppel, Number Theory, An Introduction to Mathematics, Part A

Coppel, Number Theory, An Introduction to Mathematics, Part B  (unfree)

Cusick et al, Stream Ciphers and Number Theory  (unfree)

Dajani, Kraaikamp, Ergodic Theory of Numbers  (unfree)

Davenport, The Higher Arithmetic, An Introduction to the Theory of Numbers, 8th. edn.  (unfree)

Dedekind, Essays on the Theory of Numbers  (unfree)

Dickson, History of the Theory of Numbers,  Vol. 2, Diophantine Analysis  (unfree)

Dickson, On Invariants and the Theory of Numbers, Part I  (unfree)

Dixon et al, Algebra and Number Theory, An Integrated Approach  (unfree)

Egorychev, Integral Representations and the Computation of Combinatorial Sums  (unfree)

Einsiedler, Ward, Ergodic Theory, with a View towards Number Theory  (unfree)

Elstrodt et al, Groups Acting on Hyperbolic Space, Harmonic Analysis and Number Theory  (unfree)

Everest, Ward, An Introduction to Number Theory  (unfree)

Flath, Introduction to Number Theory  (unfree)

Frege, The Foundations of Arithmetic, 2nd. edn.  (unfree)

Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory  (unfree)

Gioia, The Theory of Numbers, An Introduction  (unfree)

Goldfeld et al (eds.), Number Theory, Analysis and Geometry,  In Memory of Serge Lang

Goodstein, Recursive Number Theory  (unfree)

Gouvea, Yui (eds.), Advances In Number Theory  (unfree)

Granville, Rudnick, Equidistribution in Number Theory, An Introduction  (unfree)

Greaves et al (eds.), Sieve Methods, Exponential Sums and their Applications in Number Theory  (unfree)

Grosswald, Topics from the Theory of Numbers, 2nd. edn.  (unfree)

Guy, Unsolved Problems in Number Theory, 2nd. edn.  (unfree)

Hardy et al, An Introduction to the Theory of Numbers  (unfree)

Hasse, Number Theory  (unfree)

Hertling et al (eds.), Reliable Implementation of Real Number Algorithms, Theory and Practice  (unfree)

Higgins, Number Story, From Counting to Cryptography  (unfree)

Hu, Yang, Value Distribution Theory related to Number Theory  (unfree)

Hua, Introduction to Number Theory  (unfree)

Ibstedt, Mainly Natural Numbers, A Few Elementary Studies on Smarandache Sequences and other Number Problems  (unfree)

Ibstedt, Surfing on the Ocean of Numbers, A Few Smarandache Notions and Similar Topics  (unfree)

Irving, Integers, Polynomials, and Rings  (unfree)

Kandasamy, Groupoids and Smarandache Groupoids  (unfree)

Kanemitsu, Liu, Number Theory, Sailing on the Sea of Number Theory, Vol. 2  (unfree)

Kato et al, Number Theory 1, Fermat’s Dream  (unfree)

Kersten, Meyer (eds.), Symmetries in Algebra and Number Theory

Khinchin, Three Pearls of Number Theory  (unfree)

Kisacanin, Mathematical Problems and Proofs, Combinatorics, Number Theory, and Geometry  (unfree)

Klee, Wagon, Old and New Unsolved Problems in Plane Geometry and Number Theory  (unfree)

Knopfmacher, Zhang, Number Theory Arising from Finite Fields, Analytic and Probabilistic Theory  (unfree)

Koblitz (ed.), Number Theory related to Fermats Last Theorem  (unfree)

Koblitz, A Course in Number Theory and Cryptography 2nd. edn.  (unfree)

Lang (ed.), Number Theory III, Diophantine Geometry  (unfree)

Manin, Panchishkin, Introduction to Modern Number Theory,  2nd. edn.  (unfree)

Mollin, Fundamental Number Theory with Applications, 2nd. edn.  (unfree)

Mordell, Two Papers on Number Theory  (unfree)

Moser, An Introduction to the Theory of Numbers

Murty, Esmonde, Problems in Algebraic Number Theory, 2nd. edn.  (unfree)

Nathanson, Elementary Methods in Number Theory  (unfree)

Niven et al, An Introduction to the Theory of Numbers, 5th. edn.  (unfree)

Nocedal, Wright, Numerical Optimization  (unfree)

Odifreddi, Classical Recursion Theory, The Theory of Functions and Sets of Natural Numbers  (unfree)

Ogilvy, Anderson, Excursions in Number Theory  (unfree)

Omondi, Premkumar, Residue Number Systems, Theory and Implementation  (unfree)

Ore, Invitation to Number Theory  (unfree)

Parent, Exercises in Number Theory  (unfree)

Parshin, Shafarevich (eds.), Number Theory I, Fundamental Problems, Ideas and Theories  (unfree)

Perez (ed.), Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry  (unfree)

Pohst, Algorithmic Methods in Algebra and Number Theory  (unfree)

Polya, Szego, Problems and Theorems in Analysis II, Theory of Functions, Zeros, Polynomials, Determinants, Number Theory, Geometry  (unfree)

Press et al, Numerical Recipes in C, The Art of Scientific Computing, 2nd. edn.  (unfree)

Press et al, Numerical Recipes in Fortran 77 2nd ed. Vol 1 of Fortran Numerical Recipes  (unfree)

Quarteroni et al, Numerical Mathematics  (unfree)

Ramakrishnan, Valenza, Fourier Analysis on Number Fields  (unfree)

Rassias, Problem-Solving and Selected Topics in Number Theory, In the Spirit of the Mathematical Olympiads  (unfree)

Redmond, Number Theory, An Introduction  (unfree)

Ribenboim, Meine Zahlen, Meine Freunde, Glanzlichter der Zahlentheorie  (unfree)

Ribenboim, My Numbers, My Friends, Popular Lectures on Number Theory  (unfree)

Ribenboim, The New Book of Prime Number Records, 3rd. edn.  (unfree)

Riedel, Applications of the Mellin-Perron Formula in Number Theory

Rosen, Number Theory in Function Fields  (unfree)

Sandor et al, Handbook of Number Theory I  (unfree)

Sandor, Crstici, Handbook of Number Theory II  (unfree)

Sandor, Geometric Theorems, Diophantine Equations and Arithmetic Functions  (unfree)

Santos, Number Theory for Mathematical Contests  (unfree)

Scharlau, Opolka, From Fermat to Minkowski, Lectures on the Theory of Numbers and its Historical Development  (unfree)

Schroeder, Number Theory in Science and Communication, 5th. edn.  (unfree)

Serre, A Course in Arithmetic  (unfree)

Shanks, Solved and Unsolved Problems in Number Theory  (unfree)

Shelah, Classification Theory and the Number of Non-Isomorphic Models, 2nd. edn.  (unfree)

Shimura, Automorphic Functions and Number Theory  (unfree)

Shimura, Taniyama, Complex Multiplication of Abelian Varieties and its Applications to Number Theory  (unfree)

Shoup, A Computational Introduction to Number Theory and Algebra  (unfree)

Sierpinski, A Selection of Problems in the Theory of Numbers  (unfree)

Smarandache, Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry  (unfree)

Smarandache, Only Problems, not Solutions  (unfree)

Stark, An Introduction to Number Theory  (unfree)

Stillwell, Elements of Number Theory  (unfree)

Varga, Functional Analysis and Approximation Theory in Numberical Analysis  (unfree)

Villegas, Experimental Number Theory  (unfree)

Vinogradov, Elements of Number Theory  (unfree)

Vinogradov, The Method of Trigonometrical Sums in the Theory of Numbers  (unfree)

Weil, Basic Number Theory, 3rd. edn.  (unfree)

Wells, Prime Numbers The Most Mysterious Figures in Math  (unfree)

Weng, Nakamura (eds.), Arithmetic Geometry and Number Theory  (unfree)

Wright, First Course in Theory of Numbers  (unfree)

Wüstholz (ed.), A Panorama of Number Theory, or The View from Baker’s Garden  (unfree)

Yan, Number Theory for Computing, 2nd. edn.  (unfree)

Yildirim, Stepanov (eds.), Number Theory and its Applications  (unfree)

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