Some Problems in Partitio Numerorum

@inproceedings{Erds1979SomePI,
  title={Some Problems in Partitio Numerorum},
  author={Paul Erdős and J. H. LOXTON},
  year={1979}
}
We consider some unconventional partition problems in which the parts of the partition are restricted by divisibility conditions, for example, partitions n = a1+ . . . +a k into positive integers a l , . . ., a k such that al I a2 . . . a k . Some rather weak estimates for the various partition functions are obtained . Subject classification (Amer . Math. Soc . (MOS) 1970) : 10 A 45, 10 J 20 . 
Highly Cited
This paper has 19 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-4 of 4 references

`On Mahler's partition problem

N. G . de Bruijn
Proc. Kon . Nederl. Akad. Wet. (A) • 1948
View 4 Excerpts
Highly Influenced

`A problem in "factorisatio numerorum

E. Hille
Acta Arith • 1936
View 5 Excerpts
Highly Influenced

`Highly composite numbers

S. Ramanujan
Proc. London Math . Soc • 1915
View 4 Excerpts
Highly Influenced

`A Tauberian theorem for partitions

A E
Ann. of Math • 1941
View 3 Excerpts

Similar Papers

Loading similar papers…