Combinatorics, Modular Forms, and Discrete Geometry
Sprache des Vortragstitels:
IMA Annual Program Year Workshop Geometric and Enumerative Combinatorics; November 10-14, 2014
Sprache des Tagungstitel:
In a joint project with George Andrews, aspects of MacMahon's partition analysis have led us to consider broken partition diamonds, an infinite family of combinatorial objects whose generating functions give rise to a variety of number theoretic congruences. Recently, in the context of modular forms, Silviu Radu has set up an algorithmic machinery to prove such congruences automatically. The talk reports on recent developments, some being joint work with Radu, which are related to discrete geometry and computer algebra.
Sprache der Kurzfassung:
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