Mahler, Kurt Lectures on diophantine approximations. Part I: \(g\)-adic numbers and Roth’s theorem. (Prepared from the notes taken by R. P. Bambah of lectures given at the University of Notre Dame in the fall of 1957). (English) Zbl 0158.29903 Ann Arbor: University of Notre Dame. xi, 188 p. (1961). Reviewer: Peter Szüsz Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 29 Documents MSC: 11Jxx Diophantine approximation, transcendental number theory 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11J61 Approximation in non-Archimedean valuations 11J68 Approximation to algebraic numbers 11J25 Diophantine inequalities Keywords:diophantine approximations; valuation theory; g-adic generalization of Thue-Siegel-Roth theorem; second proof of Schneider’s theorem on the number of systems of inequalities; proof of Cugiani’s theorem; sharpening of a schneider’s theorem; approximation in algebraic number fields × Cite Format Result Cite Review PDF