On primitive solutions of the Diophantine equation x2 + y2 = M
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Author / Producer
Date
2021
Publication Type
Journal Article
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yes
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Abstract
We provide explicit formulae for primitive, integral solutions to the Diophantine equation x2+y2=M , where M is a product of powers of Pythagorean primes, i.e., of primes of the form 4n+1 . It turns out that this is a nice application of the theory of Gaussian integers.
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published
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Book title
Journal / series
Volume
19 (1)
Pages / Article No.
863 - 868
Publisher
De Gruyter
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Edition / version
Methods
Software
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Date collected
Date created
Subject
Pythagorean primes; Diophantine equation
Organisational unit
03874 - Hungerbühler, Norbert / Hungerbühler, Norbert