E-Book, Englisch, 220 Seiten, eBook
Reihe: CMS Books in Mathematics
Borwein Computational Excursions in Analysis and Number Theory
2002
ISBN: 978-0-387-21652-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 220 Seiten, eBook
Reihe: CMS Books in Mathematics
ISBN: 978-0-387-21652-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
* Preface * Introduction * LLL and PSLQ * Pisot and Salem Numbers * Rudin-Shapiro Polynomials * Fekete Polynomials * Products of Cyclotomic Polynomials * Location of Zeros * Maximal Vanishing * Diophantine Approximation of Zeros * The Integer-Chebyshev Problem * The Prouhet-Tarry-Escott Problem * The Easier Waring Problem * The Erdös-Szekeres Problem * Barker Polynomials and Golay Pairs * The Littlewood Problem * Spectra * Appendix A: A Compendium of Inequalities * B: Lattice Basis Reduction and Integer Relations * C: Explicit Merit Factor Formulae * D: Research Problems * References * Index
