<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We consider the problem of the computation of inf<sub>p</sub> θp over the set of exponent pairs P ∋ p under linear constrains for a certain class of objective functions θ. An effective algorithm is presented. The output of the algorithm leads to the improvement and establishing new estimates in the various divisor problems in the analytical number theory.</p></abstract>

We consider the problem of the computation of infp θp over the set of exponent pairs P ∋ p under linear constrains for a certain class of objective functions θ. An effective algorithm is presented. The output of the algorithm leads to the improvement and establishing new estimates in the various divisor problems in the analytical number theory.

Linear programming over exponent pairs

I. I. Mechnikov Odessa National University, Russia

Acta Universitatis Sapientiae, Informatica

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Linear programming over exponent pairs"}

We consider the problem of the computation of infp θp over the set of exponent pairs P ∋ p under linear constrains for a certain class of objective functions...

Linear programming over exponent pairs

Publié en ligne: 30 mai 2014

Pages: 271 - 287

Reçu: 28 août 2013

DOI: https://doi.org/10.2478/ausi-2014-0014

Mots clés
linear programming, exponent pairs, divisor problem

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linear programming over exponent pairs

Publié en ligne: 30 mai 2014

Pages: 271 - 287

Reçu: 28 août 2013

DOI: https://doi.org/10.2478/ausi-2014-0014

Mots cléslinear programming, exponent pairs, divisor problem

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Mots clés
linear programming, exponent pairs, divisor problem