Sums of Two Squares of Sums of Two Squares

Rebecca Ulrike Jakob ()
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Rebecca Ulrike Jakob: Universität Göttingen

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 217-230 from Springer

Abstract: Abstract This article determines the order of magnitude of integers not exceeding x that can be written as sums of two squares of integers that are themselves sums of two squares. The tools include Selberg’s sieve and contour integration in the spirit of the Selberg-Delange method.

Keywords: Arithmetic progression; Square; Sum; Sums of two squares; Primary 11N36; Secondary 11M99 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_14

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DOI: 10.1007/978-3-319-28203-9_14

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