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Some Refinements for Translation Invariant Quadratic Forms in Dense Sets by Keil, Eugen is a scholarly article available to read on EtoBox.

What is Some Refinements for Translation Invariant Quadratic Forms in Dense Sets about?

We improve the result of our previous paper on translation invariant quadratic forms in two special cases. We reduce the density bound $|\mathcal{A}|/N = O((\log\log N)^{-c})$ to $|\mathcal{A}|/N = O((\log N)^{-c})$ for most quadratic forms and handle almost diagonal equations in $s \geq 6$ variables instead of $s \geq 8$.

Author

Keil, Eugen

Published

2014

Language

EN