On polynomials and Lagrange's form of the general mean-value theorem

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The application of a new mean value theorem to the fractional parts of polynomials

The application of a new mean value theorem to the fractional parts of polynomials 1. Introduction. The new mean value estimates provided by recent advances in Waring's problem (see, in particular, [9, 10, 11, 14]) may plainly be applied to improve current estimates for αn k , the distance from αn

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1948

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1948-09106-6