Get Number Theory and Related Fields: In Memory of Alf van der PDF

By David Hunt (auth.), Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin (eds.)

ISBN-10: 1461466415

ISBN-13: 9781461466413

ISBN-10: 1461466423

ISBN-13: 9781461466420

“Number concept and similar Fields” collects contributions according to the complaints of the "International quantity conception convention in reminiscence of Alf van der Poorten," hosted by way of CARMA and held March 12-16th 2012 on the college of Newcastle, Australia. the aim of the convention used to be to advertise quantity conception learn in Australia whereas commemorating the legacy of Alf van der Poorten, who had written over one hundred seventy papers regarding quantity idea and collaborated with dozens of researchers. The study articles and surveys offered during this ebook have been written by means of probably the most uncommon mathematicians within the box of quantity conception, and articles will comprise similar issues that target a number of the examine pursuits of Dr. van der Poorten.​

Show description

Read Online or Download Number Theory and Related Fields: In Memory of Alf van der Poorten PDF

Best theory books

Download e-book for iPad: Global Positioning System: Theory and Practice by Prof. Dr. Bernhard Hofmann-Wellenhof, Dr. Herbert

This e-book indicates in entire demeanour how the worldwide Positioning method (GPS) works. using GPS for specific measurements (i. e. , surveying) is taken care of in addition to navigation and perspective decision. the elemental mathematical versions for varied modes of GPS operations and designated clarification of the sensible use of GPS are constructed accurately during this ebook.

Read e-book online SOFSEM 2010: Theory and Practice of Computer Science: 36th PDF

This e-book constitutes the refereed complaints of the thirty sixth convention on present developments in idea and perform of desktop technological know-how, SOFSEM 2010, held in � pindleruv Mlýn, Czech Republic, in January 2009. The fifty three revised complete papers, awarded including eleven invited contributions, have been rigorously reviewed and chosen from 134 submissions.

Download e-book for kindle: Linguistic Theory and Complex Words: Nuuchahnulth Word by J. Stonham

Nuuchahnulth is understood for its extraordinary use of word-formation and intricate inflection. this is often the 1st booklet to supply a close description of the complicated morphology of the language, in accordance with fabric accrued while it was once extra potential than it truly is now. the outline is embedded inside a broad-ranging theoretical dialogue of curiosity to all morphologists.

Additional info for Number Theory and Related Fields: In Memory of Alf van der Poorten

Example text

In165 , Alf, Marek Karpinski and Igor Shparlinski obtain new algorithms for testing whether a multivariate polynomial over a p-adic field given by a black box is identical to zero. Zero testing of polynomials in residue rings is also discussed. The results complement known results on zero testing of polynomials over the integers, the rationals and finite fields. ´ In218 , Alf and Akos Pint´er give a lower bound on the number of simple and distinct zeros of elements of a function field over an algebraically closed field, defined by linear recurrence sequences.

3 Quadratic Forms and the Composition of Binary Quadratic Forms The study of binary quadratic forms goes back at least to Gauss, who introduced both equivalence of forms and composition of forms of a given discriminant. With various authors Alf has made significant contributions both to the theory and to exposition of the ideas. In177 Alf begins with the “cute” observation due to Hendrik Lenstra, that 122 + 2 33 = 1233 which satisfies the Diophantine equation a2 + b2 = 10n a + b, which is a particular case of the more general Diophantine equation (*) x2 + y2 = n.

The authors state that very little of the material is original. Much of the material is of recent origin and adequate references are given. The level of the exposition is high and its beauty reflects the care and effort of the authors. A sequence of statements called ‘observations’ replaces the traditional sequence of theorems. However, there seems to be no difference between a theorem and an ‘observation’. Full proofs are often left to the reader, but adequate background is usually given to permit this.

Download PDF sample

Number Theory and Related Fields: In Memory of Alf van der Poorten by David Hunt (auth.), Jonathan M. Borwein, Igor Shparlinski, Wadim Zudilin (eds.)

by Richard

Rated 4.64 of 5 – based on 7 votes