English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $p$ be a prime number, $C$ be any absolutely irreducible affine planecurve over $\mathbb{F}_p$, and $g,f\in\mathbb{F}_p(x,y)$ be rational functions.We continue the study of the distribution of the values of short hybridexponential sums of the form $S_{H}(x;C) = \sum_{P\in C, x<x(P)\leqx+H}\chi(g(P))\psi(f(P))$ on $x\in\mathcal{I}$ for some short interval$\mathcal{I}$. We show that under some natural conditions, the limitingdistribution of the sum $S_{H}(x;C)$ is Gaussian for all curve $C$. Thislargely generalizes a previous result of the author and Zaharescu.

The distribution of values of short hybrid exponential sums on curves over finite fields II