Euler's partition theorem and the combinatorics of -sequences

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CanaDAM 2009 2nd Canadian Discrete and Algorithmic Mathematics Conference May 25 - 28, 2009 CRM, Montreal, Quebec, Canada http://www.crm.umontreal.ca/CanaDAM2009/index.shtml
AMS 2009 Spring Southeastern Section Meeting North Carolina State University Raleigh, NC April 4-5, 2009 (Saturday - Sunday) Some of the special sessions: ◮ Applications of Algebraic and Geometric Combinatorics (Sullivant, Savage) ◮ Rings, Algebras, and Varieties in Combinatorics (Hersh, Lenart, Reading) ◮ Recent Advances in Symbolic Algebra and Analysis (Singer, Szanto) ◮ Kac-Moody Algebras, Vertex Algebras, Quantum Groups, and Applications (Bakalov, Misra, Jing) ◮ Enumerative Geometry and Related Topics (Rimayi, Mihalcea) ◮ Homotopical Algebra with Applications to Mathematical Physics (Lada, Stasheff) ◮ Low Dimensional Topology and Geometry (Dunfield, Etnyre, Ng)
Page 1 and 2:
Euler’s partition theorem and the
Page 3 and 4:
Overview Euler’s partition theore
Page 5 and 6:
Overview 1, 2, 3, . . . l-sequences
Page 7 and 8:
Overview 1, 2, 3, . . . l-sequences
Page 9 and 10:
Sylvester’s Bijection
Page 11 and 12:
l-sequences For integer l ≥ 2, de
Page 13 and 14:
l-sequences For integer l ≥ 2, de
Page 15 and 16: l = 2 The l-Euler theorem [BME2]: T
Page 17 and 18: l = 3 The l-Euler theorem [BME2]: T
Page 19: The insertion step To insert a k +
Page 22 and 23: Binary numeration system 1 0 1 1 0
Page 24 and 25: Binary numeration system 1 0 1 1 0
Page 26: Theorem [Fraenkel 1985] Every nonne
Page 31 and 32: Lecture Hall Partitions
Page 33 and 34: The Lecture Hall Theorem [BME1] The
Page 35 and 36: Θ (l) n : Bijection for the l-Lect
Page 44 and 45: Truncated lecture hall partitions L
Page 46 and 47: Theorem [Corteel,S 2004] Given posi
Page 48 and 49: The l-nomial coefficient Example (
Page 50 and 51: Let u l and v l be the roots of the
Page 52 and 53: Let u l and v l be the roots of the
Page 54 and 55: An l-nomial theorem [LS]: An analog
Page 56 and 57: A coin-flipping interpretation of t
Page 58 and 59: Define a q-analog of the l-nomial:
Page 60 and 61: Another q-analog of the l-nomial Le
Page 62 and 63: Question: When l = 2, several refin
Page 64 and 65: Question: What is the generating fu
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Euler's partition theorem and the combinatorics of -sequences

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