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1. Number theory [electronic resource] : an approach through history from Hammurapi to Legendre [1984]
 Weil, André, 19061998.
 Boston : Birkhäuser, ©2007.
 Description
 Book — 1 online resource (375 pages) : illustrations.
 Summary

 Preface
 Table of illustrations
 Abbreviations, basic references and notations
 Protohistory
 Fermat and his Correspondents
 Euler
 An Age of Transition: Lagrange and Legendre
 Additional bibliography and references
 Index nominum
 Index rerum.
2. Analytic number theory [2002]
 ChinaJapan Seminar on Number Theory (1st : 1999 : Beijing, China)
 Dordrecht : SpringerScience+Business Media, B.V., [2002]
 Description
 Book — 1 online resource (xv, 408 pages).
 Summary

The book includes several survey articles on prime numbers, divisor problems, and Diophantine equations, as well as research papers on various aspects of analytic number theory such as additive problems, Diophantine approximations and the theory of zeta and Lfunction. Audience: Researchers and graduate students interested in recent development of number theory.
3. The emergence of number [1987]
 Crossley, John N.
 Singapore ; Teaneck, N.J. : World Scientific, c1987.
 Description
 Book — x, 222 p. : ill. ; 23 cm.
SAL3 (offcampus storage)
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QA241 .C88 1987  Available 
4. The emergence of number [1980]
 Crossley, John N.
 Steel's Creek [Victoria, Australia] : Upside Down A Book Company, c1980.
 Description
 Book — 376 p. : ill. ; 25 cm.
 Online
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QA241 .C95  Available 
5. Introduction to number theory [2018]
 Hill, Richard Michael, author.
 London ; Hackensack, NJ : World Scientific Publishing Europe Ltd., [2018]
 Description
 Book — xiv, 247 pages ; 23 cm.
 Summary

Textbook, with answers to some exercises.
(source: Nielsen Book Data) 9781786344717 20180319
 Online
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QA241 .H4845 2018  Unknown 
 ChinaJapan Seminar on Number Theory (7th : 2013 : Fukuokaken, Japan)
 New Jersey : World Scientific, [2015]
 Description
 Book — xix, 191 pages ; 24 cm.
 Summary

 On Modular Relations (T Arai, K Chakraborty and S Kanemitsu) Figurate Primes and Hilbert's 8th Problem (TX Cai, Y Zhang and ZG Shen) Statistical Distribution of Roots of a Polynomial Modulo Prime Powers (Y Kitaoka) A Survey on the Theory of Universality for Zeta and LFunctions (K Matsumoto) Complex Multiplication in the Sense of Abel (K Miyake) Problems on Combinatorial Properties of Primes (ZW Sun).
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9789814644921 20160618
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QA241 .C645 2013  Unknown 
7. Journal of Numbers [2014  ]
 New York, NY : Hindawi Publishing Corporation, 2014
 Description
 Journal/Periodical — 1 online resource
 Childs, Lindsay.
 3rd ed.  New York ; London : Springer, c2009.
 Description
 Book — xiv, 603 p. ; 24 cm.
 Summary

 Numbers. Numbers. Induction. Euclid's Algorithm. Unique Factorization. Congruence. Congruence classes and rings. Congruence Classes. Rings and Fields. Matrices and Codes. Congruences and Groups. Fermat's and Euler's Theorems. Applications of Euler's Theorem. Groups. The Chinese Remainder Theorem. Polynomials. Polynomials. Unique Factorization. The Fundamental Theorem of Algebra. Polynomials in ?[x]. Congruences and the Chinese Remainder Theorem. Fast Polynomial Multiplication. Primitive Roots. Cyclic Groups and Cryptography. Carmichael Numbers. Quadratic Reciprocity. Quadratic Applications. Finite Fields. Congruence Classes Modulo a Polynomial. Homomorphisms and Finite Fields. BCH Codes. Factoring Polynomials. Factoring in ?[x]. Irreducible Polynomials.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780387745275 20160605
 Online

 dx.doi.org SpringerLink
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 Andreescu, Titu, 1956
 Boston, Mass. : Birkhäuser, c2009.
 Description
 Book — xviii, 384 p. ; 25 cm.
 Summary

 Fundamentals. Divisibility. Powers of Integers. Floor Function and Fractional Part. Digits of Numbers. Basic Principles in Number Theory. Arithmetic Functions. More on Divisibility. Diophantine Equations. Some Special Problems in Number Theory. Problems Involving Binomial Coefficients. Miscellaneous Problems. Solutions to Additional Problems. Divisibility. Powers of Integers. Floor Function and Fractional Part. Digits of Numbers. Basic Principles in Number Theory. Arithmetic Functions. More on Divisibility. Diophantine Equations. Some Special Problems in Number Theory. Problems Involving Binomial Coefficients. Miscellaneous Problems.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780817632458 20160605
 Online

 dx.doi.org SpringerLink
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10. Number theory with computer applications [1998]
 Kumanduri, Ramanujachary.
 Upper Saddle River, N.J. : Prentice Hall, c1998.
 Description
 Book — xiii, 543 p. : ill. ; 24 cm.
 Summary

 1. Introduction.
 2. Divisibility and Primes.
 3. Modular Arithmetic.
 4. Fundamental Theorems of Modular Arithmetic.
 5. Cryptography.
 6. Primality Testing and Factoring.
 7. Primitive Roots.
 8. Applications.
 9. Quadratic Congruences.
 10. Applications.
 11. Continued Fractions.
 12. Factoring Methods.
 13. Diophantine Approximations.
 14. Diophantine Equations.
 15. Arithmetical Functions and Dirichlet Series.
 16. Distribution of Primes.
 17. Quadratic Reciprocity Law
 18. Binary Quadratic Forms.
 19. Elliptic Curves. Appendix A: Mathematical Induction. Appendix B: Binomial Theorem. Appendix C: Algorithmic Complexity and Onotation. Answers and Hints. Index of Notation. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780138018122 20160528
 Online
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QA241 .K85 1998  Available 
11. Séminaire de théorie des nombres : Séminaire DelangePisotPoitou [1980  1992]
 Séminaire de théorie des nombres.
 Boston : Birkhäuser, 1981
 Description
 Journal/Periodical — volumes ; 24 cm.
 Online
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QA241 .S363 1991/1992  Available 
QA241 .S363 1990/1991  Available 
QA241 .S363 1989/1990  Available 
QA241 .S363 1988/1989  Available 
QA241 .S363 1987/1988  Available 
QA241 .S363 1986/1987  Available 
QA241 .S363 1985/1986  Available 
QA241 .S363 1984/1985  Available 
QA241 .S363 1983/1984  Available 
QA241 .S363 1982/1983  Available 
QA241 .S363 1981/1982  Available 
QA241 .S363 1980/1981  Available 
QA241 .S363 1979/1980  Available 
12. An illustrated theory of numbers [2017]
 Weissman, Martin H., 1976 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xv, 323 pages ; 29 cm
 Summary

 Seeing arithmeticFoundations: The Euclidean algorithmPrime factorizationRational and constructible numbersGaussian and Eisenstein integersModular arithmetic: The modular worldsModular dynamicsAssembling the modular worldsQuadratic residuesQuadratic forms: The topographDefinite formsIndefinite formsIndex of theoremsIndex of termsIndex of namesBibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781470434939 20171009
 Online
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QA241 .W354 2017  Unknown 
 Travaglini, Giancarlo, author.
 Cambridge ; New York : Cambridge University Press, 2014.
 Description
 Book — x, 240 pages ; 24 cm.
 Summary

 Part I. Elementary Number Theory:
 1. Prelude
 2. Arithmetic functions and integer points
 3. Congruences
 4. Quadratic reciprocity and Fourier series
 5. Sums of squares Part II. Fourier Analysis and Geometric Discrepancy:
 6. Uniform distribution and completeness of the trigonometric system
 7. Discrepancy and trigonometric approximation
 8. Integer points and Poisson summation formula
 9. Integer points and exponential sums
 10. Geometric discrepancy and decay of Fourier transforms
 11. Discrepancy in high dimension and Bessel functions References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781107619852 20160616
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QA241 .T68 2014  Unknown 
 Providence, Rhode Island : American Mathematical Society ; Montréal, Québec : Centre de Recherches Mathématiques, [2015]
 Description
 Book — xv, 256 pages : illustrations ; 25 cm.
 Summary

 * On the greatest prime factor of some divisibility sequences by A. Akbary and S. Yazdani* A number field extension of a question of Milnor by T. Chatterjee, S. Gun, and P. Rath* Mixing rates of random walks with little backtracking by S. M. Cioaba and P. Xu* Additive and multiplicative functions with similar global behavior by J.M. De Koninck and N. Doyon* Multidimensional sequences uniformly distributed modulo
 1 created from normal numbers by J.M. De Koninck and I. Katai* The index of $a$ modulo $p$ by A. T. Felix* Determining optimal test functions for bounding the average rank in families of $L$functions by J. Freeman and S. J. Miller* Familles d'equations de Thue associees a un sousgroupe de rang
 1 d'unites totalement reelles d'un corps de nombres by C. Levesque and M. Waldschmidt* Cyclicity of quotients of nonCM elliptic curves modulo primes by G. Meleleo* On the Euler Kronecker constant of a cyclotomic field, II by M. Mourtada and V. K. Murty* The generalized Dedekind determinant by M. R. Murty and K. Sinha* A remark on elliptic curves with a given number of points over finite fields by J. Parks* Recovering cusp forms on GL(2) from symmetric cubes by D. Ramakrishnan* Arithmetic nature of some infinite series and integrals by N. Saradha and D. Sharma* Points on varieties over finite fields in small boxes by I. E. Shparlinski* Bounds for the LangTrotter conjectures by D. Zywina.
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QA11 .A1 S325 2015  Unknown 
15. Introduction to number theory [1989]
 Flath, Daniel E., author.
 [2018 edition].  Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — 1 online resource.
 Summary

 Prime numbers and unique factorization Sums of two squares Quadratic reciprocity Indefinite forms The class group and genera $\Delta=b^24ac^*$ Tables Errata to ``Introduction to number theory'' Bibliography Subject index Notation index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781470446949 20190408
 Bugeaud, Yann, author.
 Zuerich, Switzerland : European Mathematical Society Publishing House, 2018.
 Description
 Book — 1 online resource (240 pages). Digital: text file; PDF.
 Summary

The aim of this book is to serve as an introductory text to the theory of linear forms in the logarithms of algebraic numbers, with a special emphasis on a large variety of its applications. We wish to help students and researchers to learn what is hidden inside the blackbox ‚Baker's theory of linear forms in logarithms' (in complex or in $p$adic logarithms) and how this theory applies to many Diophantine problems, including the effective resolution of Diophantine equations, the $abc$conjecture, and upper bounds for the irrationality measure of some real numbers. Written for a broad audience, this accessible and selfcontained book can be used for graduate courses (some 30 exercises are supplied). Specialists will appreciate the inclusion of over 30 open problems and the rich bibliography of over 450 references.
17. Methods of solving number theory problems [2018]
 Grigorieva, Ellina, author.
 Cham, Switzerland : Birkhäuser, [2018]
 Description
 Book — 1 online resource
 Summary

 Preface. Numbers: Problems Involving Integers. Further Study of Integers. Diophantine Equations and More. Pythagorean Triples, Additive Problems, and More. Homework.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319909141 20180910
18. Number fields [2018]
 Marcus, Daniel A., 1945 author.
 Second edition.  Cham, Switzerland : Springer, 2018.
 Description
 Book — 1 online resource (xviii, 203 pages). Digital: text file; PDF.
 Summary

 1: A Special Case of Fermat's Conjecture.
 2: Number Fields and Number Rings.
 3: Prime Decomposition in Number Rings.
 4: Galois Theory Applied to Prime Decomposition.
 5: The Ideal Class Group and the Unit Group.
 6: The Distribution of Ideals in a Number Ring.
 7: The Dedekind Zeta Function and the Class Number Formula.
 8: The Distribution of Primes and an Introduction to Class Field Theory. Appendix A: Commutative Rings and Ideals. Appendix B: Galois Theory for Subfields of C. Appendix C: Finite Fields and Rings. Appendix D: Two Pages of Primes. Further Reading. Index of Theorems. List of Symbols.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319902326 20180910
19. Sequences, Groups, and Number Theory [2018]
 Cham : Birkhäuser, 2018.
 Description
 Book — 1 online resource.
 Summary

 General Framework. Number Theoretic Aspects of Regular Sequences. Firstorder Logic and Numeration System. Some Applications of Algebra to Automatic Sequences. Avoiding or Limiting Regularities in Words. Coloring Problems for Infinite Words. Normal Numbers and Computer Science. Normal Numbers and Symbolic Dynamics. About the Domino Problem for Subshifts on Groups. Automation (Semi)Groups: Wang Tilings and Schreier Tries. Amenability of Groups and GSets. Index. References.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319691510 20180730
20. Invitation to number theory [2017]
 Ore, Øystein, 18991968, author.
 Second edition. Revised and updated edition.  [Washington] : Mathematical Association of America, [2017]
 Description
 Book — 1 online resource.
 Summary

Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, ... and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more.In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
(source: Nielsen Book Data) 9780883856536 20180219
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