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

In this paper, we develop a method of evaluating general exponential sumswith rational amplitude functions for multiple variables which complementsworks by T. Cochrane and Z. Zheng on the single variable case. As anapplication, for $n\geq 2$, a fixed natural number, we obtain an asymptoticformula for the (weighted) number of solutions of quadratic congruences of theform $x_1^2+x_2^2+...+x_n^2\equiv x_{n+1}^2\bmod{p^m}$ in small boxes, thusestablishing an equidistribution result for these solutions.

Multiple exponential sums and their applications to quadratic congruences