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We offer some new results on some partition functions in which even parts do not repeat. In particular, we show certain partition functions in this category are lacunary.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
259--263
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- 1390 Bumps River Road Centerville MA, 02632 USA, alexpatk@hotmail.com
Bibliografia
- [1] K. Alladi, Partition identities involving gaps and weights, Trans. Amer. Math. Soc. 349 (1997), 5001-5019.
- [2] G. E. Andrews, Two theorems of Gauss and allied identities proved arithmetically, Pacific J. Math. 41 (1972), 563-578.
- [3] G. E. Andrews, The Theory of Partitions, The Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley, Reading (1976).
- [4] G. E. Andrews, Combinatorics and Ramanujan’s “lost" notebook, Surveys in Combinatorics 1985, London Math. Soc. Lecture Note Series, I. Anderson, ed., Cambridge University Press, London, 103:1-23 (1985).
- [5] G. E. Andrews, The fifth and seventh order mock theta functions, Trans. Amer. Math. Soc. 293 (1986), 113-134.
- [6] G. E. Andrews, D. Hickerson, RamanujanÕs ÒlostÓ notebook. VII. the sixth order mock theta functions, Adv. Math. 89 (1991), no. 1, 60-105.
- [7] G. E. Andrews, B. C. Berndt, RamanujanÕs Lost Notebook, Part I, Springer Verlag, NewYork, 2005.
- [8] W. N. Bailey, Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2), 50 (1949), 1-10.
- [9] G. Gasper, M. Rahman, Basic hypergeometric series, Cambridge Univ. Press, Cambridge, 1990.
- [10] J. Lovejoy, Lacunary partition functions, Math. Res. Lett. 9 (2002), 191-198.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0024-0004