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 paper shows that the asymptotic density of solutions of Diophantineequations or systems of the natural numbers is 0. The author providesestimation methods and estimates number, density and probability of k- tuples$<x_1,...x_k>$ to be the solution of the algebraic equations of the first,second and higher orders in two or more variables, non-algebraic Diophantineequations and systems of Diophantine equations in the domain of the naturalnumbers. The estimate for the number of positive integer solutions of thesecond-order Diophantine equations in two, three or more variables isgeometrically proved in the paper. The author proves the assertion about thenumber of solutions of algebraic Diophantine equations of higher orders in thedomain of the natural numbers. The author provides the estimates for theasymptotic behavior of quantitative solutions of Diophantine equations andsystems in the domain of the natural numbers.

Quantitative indicators of the solutions of Diophantine equations and systems in the domain of the natural numbers