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

The author showed that any homogeneous algebraic Diophantine equation of thesecond order can be converted to a diagonal form using an integernon-orthogonal transformation maintaining asymptotic behavior of the number ofits integer solutions. In this paper, we consider the transformation to thediagonal form of a wider class of algebraic second-order Diophantine equations,and also we consider the conditions for converting higher order algebraicDiophantine equations to this form. The author found an asymptotic estimate forthe number of integer solutions of the diagonal Thue equation of odd degreewith an amount of variables greater than two, and also he got and asymptoticestimates of the number of integer solutions of other types of diagonalalgebraic Diophantine equations.

Converting of algebraic Diophantine equations to a diagonal form with  the help of an integer non-orthogonal transformation, maintaining the  asymptotic behavior of the number of its integer solutions