Evertse, J. H. Upper bounds for the numbers of solutions of diophantine equations. (English) Zbl 0517.10016 Mathematical Centre Tracts, 168. Amsterdam: Mathematisch Centrum. v, 125 p. Dfl. 16.50 (1983). Summary: Reviewer: A. Pethő Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 27 Documents MSC: 11D45 Counting solutions of Diophantine equations 11D59 Thue-Mahler equations 11D25 Cubic and quartic Diophantine equations 11D61 Exponential Diophantine equations 11D75 Diophantine inequalities 11R27 Units and factorization 11-02 Research exposition (monographs, survey articles) pertaining to number theory Keywords:upper bounds; numbers of solutions of diophantine equations; Thue’s method; binomial equations; binary cubic forms; diophantine inequalities; Thue-Mahler equations over algebraic number fields; units; Catalan equation Citations:JFM 40.0265.01; JFM 54.0174.02; JFM 55.0722.02; Zbl 0102.03601; Zbl 0437.12004 PDFBibTeX XML