Partitions with numbers in their gaps

Douglas Bowman

Acta Arithmetica (1996)

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

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Douglas 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

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  1. [1] K. Alladi and B. Gordon, Generalizations of Schur's partition theorem, Manuscr. Math. 79 (1993), 113-126. Zbl0799.11043
  2. [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. [3] G. E. Andrews, The Theory of Partitions, Encyclopedia Math. Appl., Vol. 2, Addison-Wesley, Reading, 1976. (Reissued: Cambridge University Press, London, 1985.) 
  4. [4] D. Bowman, Modified convergence for q-continued fractions defined by functional relations, in: Proc. Rademacher Centenary Conference, to appear. Zbl0811.40001
  5. [5] G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge Univ. Press, 1990. Zbl0695.33001
  6. [6] B. Gordon, Some continued fractions of the Rogers-Ramanujan type, Duke Math. J. 32 (1965), 741-748. Zbl0178.33404
  7. [7] M. Hirschhorn, Developments in the theory of partitions, Dissertation, University of New South Wales, 1979. 
  8. [8] O. Perron, Die Lehre von den Kettenbrüchen, Vol. 2, Teubner, Stuttgart, 1957. Zbl0077.06602
  9. [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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