most citedLecture Hall Theorems, q-series and Truncated Objects

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math.CO2003

Partitions and Compositions defined by inequalities

S. Corteel, C. D. Savage

We consider sequences of integers defined by a system of linear inequalities with integer coefficients. We show that when the constraints are strong enough to guarantee that all th…

math.CO2003★ 1 cited

Lecture Hall Theorems, q-series and Truncated Objects

S. Corteel, C. D. Savage

We show here that the refined theorems for both lecture hall partitions and anti-lecture hall compositions can be obtained as straightforward consequences of two q-Chu Vandermonde…