๐”– Bobbio Scriptorium
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On kth power residues

โœ Scribed by P. Chowla; S. Chowla


Book ID
103219291
Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
95 KB
Volume
10
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES


kth-Power residue chains
โœ Emanuel Vegh ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 96 KB
Equal Sums of Two kth Powers
โœ T.D. Browning ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

Let k55 be an integer, and let x51 be an arbitrary real number. We derive a bound for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.

The Additive Completion of kth Powers
โœ Wenguang Zhai ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB ๐Ÿ‘ 1 views

Let k 2 be a fixed integer. For positive integers M N, let S k (M, N) denote the set of all sets A/[0, M] such that, for all positive integers n N, n can be written as n=a+b k with a # A and b a positive integer. Define Given =>0, we prove that there exists a $>0 such that for all sufficiently larg