multidimensional arithmetic progression

An n-dimensional arithmetic progresssion is a set of the form

Q =Q(a;q1,,qn;l1,,ln)
={a+x1q1++xnqn0xi<li for i=1,,n}.

The length of the progression is defined as l1ln. The progression is proper if |Q|=l1ln.


Title multidimensional arithmetic progression
Canonical name MultidimensionalArithmeticProgression
Date of creation 2013-03-22 13:39:02
Last modified on 2013-03-22 13:39:02
Owner bbukh (348)
Last modified by bbukh (348)
Numerical id 7
Author bbukh (348)
Entry type Definition
Classification msc 11B25
Synonym generalized arithmetic progression
Related topic ArithmeticProgression