000 02207nam a22003498i 4500
001 CR9781316160763
003 UkCbUP
005 20200124160210.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 140731s2017||||enk o ||1 0|eng|d
020 _a9781316160763 (ebook)
020 _z9781107097612 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA242
_b.E84 2017
082 0 4 _a512.74
_223
100 1 _aEvertse, J. H.,
_eauthor.
245 1 0 _aDiscriminant equations in Diophantine number theory /
_cJanj-Hendrik Evertse, Kálmán Györy.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource (xviii, 457 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNew Mathematical monographs ;
_v32
500 _aTitle from publisher's bibliographic system (viewed on 01 Nov 2016).
520 _aDiscriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.
650 0 _aDiophantine equations.
700 1 _aGyöry, Kálmán,
_eauthor.
776 0 8 _iPrint version:
_z9781107097612
830 0 _aNew Mathematical monographs ;
_v32.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316160763
999 _c515759
_d515757