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/

Zendy Plus

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

Zendy Tools

Zendy Open

We obtain new uniform bounds for the symmetric tensor rank of multiplicationin finite extensions of any finite field Fp or Fp2 where p denotes a primenumber greater or equal than 5. In this aim, we use the symmetricChudnovsky-type generalized algorithm applied on sufficiently dense families ofmodular curves defined over Fp2 attaining the Drinfeld-Vladuts bound and on thedescent of these families to the definition field Fp. These families areobtained thanks to prime number density theorems of type Hoheisel, inparticular a result due to Dudek (2016).

Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields