๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Natural Numbers as Sums of Consecutiveh-th Powers

โœ Scribed by Richard Warlimont


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
321 KB
Volume
68
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Representing Powers of Numbers as Subset
โœ David Petrie Moulton ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

We investigate a number of questions concerning representations of a set of numbers as sums of subsets of some other set. In particular, we obtain several results on the possible sizes of the second set when the first set consists of a geometric sequence of integers, partially answering a generalisa

On Infinite Sum-free Sets of Natural Num
โœ Tomasz ล‚uczak; Tomasz Schoen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 346 KB

A subset of the natural numbers is k-sum-free if it contains no solutions of the equation x 1 + } } } +x k = y, and strongly k-sum-free when it is l-sum-free for every l=2, ..., k. It is shown that every k-sum-free set with upper density larger than 1ร‚(k+1) is a subset of a periodic k-sum-free set a

On the Number of Integers Representable
โœ Hisashi Yokota ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

Let Nรฐnรž be the set of all integers that can be expressed as a sum of reciprocals of distinct integers 4n: Then we prove that for sufficiently large n; which improves the lower bound given by Croot. # 2002 Elsevier Science (USA)

On the 2k-th Power Mean of Dirichlet L-F
โœ Zhang Wenpeng; Yi Yuan; He Xiali ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 132 KB

The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value theorem.