Abstract
In this note we shall carry on further the simultaneous approximation of a, b and exp(bloga). In a recent paper BUNDSCHUH [2] proved a theorem which appears to be a sharpening of a theorem of SCHNEIDER [10]. But there is an error in the proof. We shall show, that under a supplementary condition, the theorem of BUNDSCHUH remains valid and as well, get an improvement to this theorem. We further give some results on linear forms in logarithms of two U-numbers with algebraic coefficients.
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Literatur
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Wüstholz, G. Zum Franklin—Schneiderschen Satz. Manuscripta Math 20, 335–354 (1977). https://doi.org/10.1007/BF01171126
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DOI: https://doi.org/10.1007/BF01171126