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	Browse All Reviews > Theory Of Computation (F) > Analysis Of Algorithms And Problem Complexity (F.2) > Numerical Algorithms And Problems (F.2.1) > Number-Theoretic Computations (F.2.1...)     Options: All Media Types Journals Proceedings Div Books Whole Books Other Date Reviewed Title Author Publisher Published Date Descending Ascending     1-10 of 58 Reviews about "Number-Theoretic Computations (F.2.1...)": Date Reviewed   Number theory: an introduction via the density of primes (2nd ed.) Fine B., Rosenberger G., Birkhäuser Basel, Cham, Switzerland, 2016. 413 pp.  Type: Book (978-3-319438-73-3) This is the second edition of a respected text on number theory. The subtitle--an introduction via the density of primes--explains its orientation. It’s certainly ambitious, proving the prime number t... Jun 2 2017   Quantum computational number theory Yan S., Springer International Publishing, New York, NY, 2015. 252 pp.  Type: Book (978-3-319258-21-8) The idea of quantum computing including the quantum Turing machine originated in the last century. However, real interest in quantum computing developed after the seminal paper by Peter Shor [1], where he gave polynomial-time algorithm... Apr 26 2017   Summing it up: from one plus one to modern number theory Ash A., Gross R., Princeton University Press, Princeton, NJ, 2016. 248 pp.  Type: Book (978-0-691170-19-0) I am not an official number theorist, like most in the target readership of this intriguing book, but I do belong to the set of “math enthusiasts of all backgrounds” for whom this book was written.... Jan 26 2017   A survey of the multiplier conjecture Gordon D., Schmidt B. Designs, Codes and Cryptography 78(1): 221-236, 2016.  Type: Article A multiplier in an abelian group is an integer power that acts in the same way as a single group element when applied to the elements of a difference set of the group. In this survey paper, the authors provide an overview of progress o... May 6 2016   Computational number theory Das A., Chapman & Hall/CRC, Boca Raton, FL, 2013. 614 pp.  Type: Book (978-1-439866-15-3) Number theory has been studied since the time of the ancient Greeks. It consists of the study of the properties of numbers, primarily integers, and algorithms used to manipulate them. For example, mathematicians have wondered why prime... Aug 5 2014   An introduction to number theory with cryptography Kraft J., Washington L., Chapman & Hall/CRC, 2013. 572 pp.  Type: Book (978-1-482214-41-3) Over 50 years ago, the mathematician Leonard Dickson said, “Thank God that number theory is unsullied by any application.” As it turns out, much later, number theory formed the basis of many, many applications. In p... Jun 25 2014   Approximately counting semismooth integers Bach E., Sorenson J.  ISSAC 2013 (Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, Boston, MA, Jun 26-29, 2013) 23-30, 2013.  Type: Proceedings An integer n is y-smooth if and only if (iff) all prime factors of n are ≤ y. An integer n is (y,z Apr 3 2014   Lattice basis reduction: an introduction to the LLL algorithm and its applications Bremner M., CRC Press, Inc., Boca Raton, FL, 2011. 332 pp.  Type: Book (978-1-439807-02-6) This is an introductory text on lattice algorithms and their applications. A lattice consists of all vectors that can be expressed as an integer combination of a given fixed set of vectors in Rn (the vecto... Mar 5 2012   Fundamental number theory with applications (2nd ed.) Mollin R., Chapman & Hall/CRC, Boca Raton, FL, 2008. 384 pp.  Type: Book (978-1-420066-59-3) Mollin’s second edition takes “a truly elementary approach to number theory” that also entails “removal of all advanced material” so as “to be ... more accessible in scope.&am... Mar 30 2010   A computational introduction to number theory and algebra Shoup V., Cambridge University Press, New York, NY, 2009. 598 pp.  Type: Book (9780521516440), Reviews: (2 of 2) It’s a pleasure to find a book that is so masterful and so well written that it has all the hallmarks of a classic. This is such a book. Shoup set himself the difficult task of bringing readers up to speed with number theory ... Jul 20 2009       Display 510152550100 per page
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