On the addition of sequences of integers

R. C. Vaughan

doi:10.1016/0022-314X(72)90008-X

On the addition of sequences of integers

R. C. Vaughan

Mathematics

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11 Scopus citations

Abstract

A well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic formula for the number of representations of a number as the sum of two members of a sequence of nonnegative integers. In this paper we extend the result to k summands.

Original language	English (US)
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Number Theory
Volume	4
Issue number	1
DOIs	https://doi.org/10.1016/0022-314X(72)90008-X
State	Published - Feb 1972

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-314X(72)90008-X

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title = "On the addition of sequences of integers",

abstract = "A well-known theorem of Erd{\"o}s and Fuchs states that we cannot have too good an asymptotic formula for the number of representations of a number as the sum of two members of a sequence of nonnegative integers. In this paper we extend the result to k summands.",

author = "Vaughan, \{R. C.\}",

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AB - A well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic formula for the number of representations of a number as the sum of two members of a sequence of nonnegative integers. In this paper we extend the result to k summands.

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On the addition of sequences of integers

Abstract

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