Consecutive triples of sums of two squares (Q1084133)
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scientific article; zbMATH DE number 3977099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Consecutive triples of sums of two squares |
scientific article; zbMATH DE number 3977099 |
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Consecutive triples of sums of two squares (English)
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1987
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Let \(B_3(x)\) denote the number of triples of integers \(n, n+1, n+2\), with \(n\leq x\), each of which is a sum of two squares. Using the Selberg sieve we show that \(B_3(x)\ll x/(\log x)^{3/2}\). In addition, we give some examples of infinite families of consecutive triples of sums of two squares.
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Selberg sieve
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consecutive triples
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sums of two squares
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