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arXiv · 2608.30920

Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$

Aleksandra Kowalska
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Abstract

In this note we count the number of solutions to a non-degenerate quadratic form in eight prime variables of off-diagonal rank $3$. It is a continuation of work by L. Zhao, who counted solutions to forms in at least nine variables, by B. Green, who counted solutions to 'generic' (which implies off-diagonal rank $4$) forms in eight variables, and by J. Dobrowolski, who counted solutions to forms in eight variables of off-diagonal rank at most $2$.

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Aleksandra Kowalska. 2026-08-31. Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$. https://arxiv.org/abs/2608.30920

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