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13 votes
1 answer
468 views

Near-linear mappings from $\mathbb F_p$ to $\mathbb R$

$\newcommand{\F}{{\mathbb F}}$ $\newcommand{\R}{{\mathbb R}}$ $\renewcommand{\phi}{\varphi}$ Let $p\ge 5$ be a prime. If the functions $\phi_1,\phi_2,\phi_3\colon\F_p\to\R$ satisfy $\phi_1(x)+\...
Seva's user avatar
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8 votes
0 answers
304 views

A strong sum-product "for translates" in finite fields

In the course of some recent research, I've sketched out a proof of the following result. My basis question is: is the result interesting? Proposition There exists an absolute constant $c$ such ...
Nick Gill's user avatar
  • 11.2k