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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

For a certain class of functions      f : Z →  C f:Z \to C       an upper bound is obtained for the sum      ∑  n = a + 1 a + H f ( n ) \sum \nolimits _{n = a + 1}^{a + H} {f\left ( n \right )}      . This bound is used to give a proof of a classical inequality due to Pólya and Vinogradov that does not require the value of the modulus of the Gauss sum and to obtain an estimate of the sum of Legendre symbols      ∑  x = 1 H ( ( R g x + S ) / p ) \sum \nolimits _{x = 1}^H {( ( {R{g^x} + S} )/p} )      , where      g g       is a primitive root of the odd prime      p , 1 ≤  H ≤  p −  1 p,1 \leq H \leq p - 1       and      R S RS       is not divisible by      p p      .

An upper bound for the sum ∑^{𝑎+𝐻}_{𝑛=𝑎+1}𝑓(𝑛) for a certain class of functions 𝑓