Binary Additive Problems: Recursions for Numbers of Representations

Details Binary Additive Problems: Recursions for Numbers of Representations Binary Additive Problems: Recursions for Numbers of Representations

2009-01-20

arxiv.org/abs/0901.3102v1

Mathematics

Number Theory

9 pages

Scientific paper

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.

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