Partitions with numbers in their gaps

• Autorzy: Douglas Bowman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 74
• Numer: 2
• Strony: 97-105

Daty

wydano

1996

otrzymano

1994-10-26

poprawiono

1995-05-05

Twórcy

autor

Douglas Bowman

• Department of Mathematics, University of Illinois at Urbana Champaign, 273 Altgeld Hall, MC-382, 1409 West Green Street, Urbana, Illinois 61801, U.S.A.

Bibliografia

• [1] K. Alladi and B. Gordon, Generalizations of Schur's partition theorem, Manuscr. Math. 79 (1993), 113-126.
• [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.
• [5] G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge Univ. Press, 1990.
• [6] B. Gordon, Some continued fractions of the Rogers-Ramanujan type, Duke Math. J. 32 (1965), 741-748.
• [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.
• [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.