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Distribution of lattice points on hyperbolic surfaces

Vsevolod F. Lev (1996)

Acta Arithmetica

Let two lattices Λ ' , Λ ' ' s have the same number of points on each hyperbolic surface | x . . . x s | = C . We investigate the case when Λ’, Λ” are sublattices of s of the same prime index and show that then Λ’ and Λ” must coincide up to renumbering the coordinate axes and changing their directions.

Divisors, partitions and some new q-series identities

Alexander E. Patkowski (2009)

Colloquium Mathematicae

We obtain new q-series identities that have interesting interpretations in terms of divisors and partitions. We present a proof of a theorem of Z. B. Wang, R. Fokkink, and W. Fokkink, which follows as a corollary to our main q-series identity, and offer a similar result.

Durfee polynomials.

Canfield, E.Rodney, Corteel, Sylvie, Savage, Carla D. (1998)

The Electronic Journal of Combinatorics [electronic only]

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