# Partitions with numbers in their gaps

Acta Arithmetica (1996)

- Volume: 74, Issue: 2, page 97-105
- ISSN: 0065-1036

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top## How to cite

topDouglas Bowman. "Partitions with numbers in their gaps." Acta Arithmetica 74.2 (1996): 97-105. <http://eudml.org/doc/206846>.

@article{DouglasBowman1996,

author = {Douglas Bowman},

journal = {Acta Arithmetica},

keywords = {partitions; compositions; gaps},

language = {eng},

number = {2},

pages = {97-105},

title = {Partitions with numbers in their gaps},

url = {http://eudml.org/doc/206846},

volume = {74},

year = {1996},

}

TY - JOUR

AU - Douglas Bowman

TI - Partitions with numbers in their gaps

JO - Acta Arithmetica

PY - 1996

VL - 74

IS - 2

SP - 97

EP - 105

LA - eng

KW - partitions; compositions; gaps

UR - http://eudml.org/doc/206846

ER -

## References

top- [1] K. Alladi and B. Gordon, Generalizations of Schur's partition theorem, Manuscr. Math. 79 (1993), 113-126. Zbl0799.11043
- [2] G. E. Andrews, q-series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, CBMS Regional Conf. Ser. in Math. 66, Amer. Math. Soc., Providence, R.I., 1986.
- [3] G. E. Andrews, The Theory of Partitions, Encyclopedia Math. Appl., Vol. 2, Addison-Wesley, Reading, 1976. (Reissued: Cambridge University Press, London, 1985.)
- [4] D. Bowman, Modified convergence for q-continued fractions defined by functional relations, in: Proc. Rademacher Centenary Conference, to appear. Zbl0811.40001
- [5] G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge Univ. Press, 1990. Zbl0695.33001
- [6] B. Gordon, Some continued fractions of the Rogers-Ramanujan type, Duke Math. J. 32 (1965), 741-748. Zbl0178.33404
- [7] M. Hirschhorn, Developments in the theory of partitions, Dissertation, University of New South Wales, 1979.
- [8] O. Perron, Die Lehre von den Kettenbrüchen, Vol. 2, Teubner, Stuttgart, 1957. Zbl0077.06602
- [9] I. Schur, Zur additiven Zahlentheorie, S.-B. Preuss. Akad. Wiss. Phys.-Math. Kl. 1926, 488-495. (Reprinted in I. Schur, Gessammelte Abhandlungen, Vol. 3, Springer, Berlin, 1973, 43-50.

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