V. G. Sprindzhuk, “A new application of <nobr>$p$</nobr>-adic analysis to representation of numbers by binary forms”, Izv. Akad. Nauk SSSR Ser. Mat., 1970, Volume 34, Issue 5,Pages <nobr>1038

This article is cited in 5 papers

A new application of $p$-adic analysis to representation of numbers by binary forms

V. G. Sprindzhuk

Abstract: An effective method is given for constructing bounds for unknowns in representations of numbers by binary forms. The arguments are based on bounds of linear forms in the logarithms of algebraic numbers in various metrics (archimedian and non-archimedian).

UDC: 511

MSC: 11D88, 11J86, 11D85

Received: 10.02.1970