Binary Additive Problems: Recursions for Numbers of Representations
Number Theory
2013-07-16 v2
Abstract
We prove some general recursions for the numbers of representations of positive integers as a sum x+y, x in X, y in Y, where X,Y are increasing sequences. In particular, we obtain recursions for the number of the Goldbach, Lemoine-Levy, Chen and other binary partitions.
Cite
@article{arxiv.0901.3102,
title = {Binary Additive Problems: Recursions for Numbers of Representations},
author = {Vladimir Shevelev},
journal= {arXiv preprint arXiv:0901.3102},
year = {2013}
}
Comments
10 pages An additional recursion for Chen's partitions