Some remarks on Vinogradov's mean value theorem and Tarry's problem
نویسندگان
چکیده
منابع مشابه
Some Remarks on Vinogradov's Mean Value Theorem and Tarry's Problem
Let W(k, 2) denote the least number s for which the system of equations ~ _ i x ~ = ~ S = l y i ( 1 <~j~k) has a solution with ~S=lx~+l v e ~ = l y ~ +1. We show that for large k one has W(k, 2) ~< 89 k + logtog k + O(1)), and moreover that when K is large, one has W(k, 2) ~< 89 + 1) + 1 for at least one value k in the interval [K, K 4/3 +~]. We show also that the least s for which the expected...
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ژورنال
عنوان ژورنال: Monatshefte f�r Mathematik
سال: 1996
ISSN: 0026-9255,1436-5081
DOI: 10.1007/bf01320189