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arXiv · 2307.05244

A new Andrews--Crandall-type identity and the number of integer solutions to $x^2+2y^2+2z^2=n$

Mariia Dospolova·Ekaterina Kochetkova·Eric T. Mortenson
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Abstract

Using a higher-dimensional analog of an identity known to Kronecker, we discover a new Andrews--Crandall-type identity and use it to count the number of integer solutions to $x^2+2y^2+2z^2=n$.

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Mariia Dospolova, Ekaterina Kochetkova, Eric T. Mortenson. 2023-07-11. A new Andrews--Crandall-type identity and the number of integer solutions to $x^2+2y^2+2z^2=n$. https://doi.org/10.1007/s11139-023-00797-z

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