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Document Type

Research

Abstract

The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to the sum of an integer of n-ic type b and an integer of n-ic type c. The symbol is extended to include any definite number of elements. New properties, together with a list of symbols involving the n-ic types of specific integers, are derived for use in studying Waring's problem, modulo p, for a particular exponent n. Let Tρ (n) be the least number such that every integer is congruent to the sum of Tρ (n) or fewer n-ic residues. Then for primes of the form 22k + 1, k > 3, 2 ≤ Tρ (11) ≤ 4.

Publication Date

1959

Journal Title

Proceedings of the Iowa Academy of Science

Volume

66

Issue

1

First Page

362

Last Page

364

Copyright

© Copyright 1959 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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