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Displaying 61 – 80 of 190

Exotic Bailey-Slater spt-functions III: Bailey pairs from groups B, F, G, and J

Chris Jennings-Shaffer (2016)

Acta Arithmetica

We continue to investigate spt-type functions that arise from Bailey pairs. In this third paper on the subject, we proceed to introduce additional spt-type functions. We prove simple Ramanujan type congruences for these functions which can be explained by an spt-crank-type function. The spt-crank-type functions are actually defined first, with the spt-type functions coming from setting z = 1 in this definition. We find some of the spt-crank-type functions to have interesting representations as single...

Extending a recent result of Santos on partitions into odd parts.

Sellers, James A. (2003)

Integers

Finite Rogers-Ramanujan type identities.

Sills, Andrew V. (2003)

The Electronic Journal of Combinatorics [electronic only]

Flag Manifolds and the Hook Formula.

Howard L. Hiller (1980)

Mathematische Zeitschrift

Franklin's argument proves an identity of Zagier.

Chapman, Robin (2000)

The Electronic Journal of Combinatorics [electronic only]

Free quasi-symmetric functions, product actions and quantum field theory of partitions.

Duchamp, Gérard H.E., Luque, Jean-Gabriel, Penson, Karol A., Tollu, Christophe (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

From recursions to asymptotics: On Szekeres' formula for the number of partitions.

Canfield, E.Rodney (1997)

The Electronic Journal of Combinatorics [electronic only]

Full subsets of $ℕ$ .

Naranjani, Lila, Mirzavaziri, Madjid (2011)

Journal of Integer Sequences [electronic only]

Generalizations of Schur's partition theorem.

Krishnaswami Alladi, Basil Gordon (1993)

Manuscripta mathematica

Generalized Beatty sequences.

Mercer, A.McD. (1978)

International Journal of Mathematics and Mathematical Sciences

Geometrische Reihen in algebraischen Zahlkörpern

Urlich Rausch (1986)

Acta Arithmetica

Hypo-Multiplicative Number - Theoretic Functions

D.B. LAHIRI (1973)

Aequationes mathematicae

Identically distributed pairs of partition statistics.

Wilf, Herbert S. (2000)

Séminaire Lotharingien de Combinatoire [electronic only]

Infinite products over hyperpyramid lattices.

Campbell, Geoffrey B. (2000)

International Journal of Mathematics and Mathematical Sciences

Integer partitions and convexity.

Bouroubi, Sadek (2007)

Journal of Integer Sequences [electronic only]

Integer partitions into arithmetic progressions with an odd common difference.

Bouroubi, Sadek, Benyahia Tani, Nesrine (2009)

Integers

Integer partitions, tilings of $2 D$ -gons and lattices

Matthieu Latapy (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of $2 D$ -gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a $2 D$ -gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.

Integer Partitions, Tilings of 2D-gons and Lattices

Matthieu Latapy (2010)

RAIRO - Theoretical Informatics and Applications

In this paper, we study two kinds of combinatorial objects, generalized integer partitions and tilings of 2D-gons (hexagons, octagons, decagons, etc.). We show that the sets of partitions, ordered with a simple dynamics, have the distributive lattice structure. Likewise, we show that the set of tilings of a 2D-gon is the disjoint union of distributive lattices which we describe. We also discuss the special case of linear integer partitions, for which other dynamical models exist.

Integer partitions with fixed subsums.

Yakubovich, Yu. (2005)

The Electronic Journal of Combinatorics [electronic only]

Kombinatorik mit dem Computer: Klassifikationen und damit verwandte Figuren.

M. Jeger (1989)

Elemente der Mathematik

Currently displaying 61 – 80 of 190

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