Displaying similar documents to “On the positive integral solutions of the Diophantine equation x 3 + b y + 1 - x y z = 0 .”

Variants of the Brocard-Ramanujan equation

Omar Kihel, Florian Luca (2008)

Journal de Théorie des Nombres de Bordeaux

Similarity:

In this paper, we discuss variations on the Brocard-Ramanujan Diophantine equation.

On hypoellipticity in 𝒢 .

Nedeljkov, M., Pilipović, S. (2002)

Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques

Similarity:

On hypoellipticity in g

M. Nedeljkov, S. Pilipović (2002)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

Similarity:

The divisor problem for binary cubic forms

Tim Browning (2011)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We investigate the average order of the divisor function at values of binary cubic forms that are reducible over ℚ and discuss some applications.

Diophantine approximation and special Liouville numbers

Johannes Schleischitz (2013)

Communications in Mathematics

Similarity:

This paper introduces some methods to determine the simultaneous approximation constants of a class of well approximable numbers ζ 1 , ζ 2 , ... , ζ k . The approach relies on results on the connection between the set of all s -adic expansions ( s ≥ 2 ) of ζ 1 , ζ 2 , ... , ζ k and their associated approximation constants. As an application, explicit construction of real numbers ζ 1 , ζ 2 , ... , ζ k with prescribed approximation properties are deduced and illustrated by Matlab plots.