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math.NT2008
Asymptotics of the number of partitions into p-cores and some trigonometric sums
Gert Almkvist
An asymptotic formula for the number of partitions into p-cores is derived. As a byproduct some integer valued trigonometric sums are found
math.NT2006
Asymptotics of various partitions
Gert Almkvist
Asymptotic formulas of the number of various partitions are studied, like 3-colored partitions, concave partitions, certain plane partitions, partitions without small parts, the nu…
math.NT2001
Some new formulas for
Gert Almkvist, Christian Krattenthaler, Joakim Petersson
We show how to find series expansions for of the form , where S(n) is some polynomial in (depending on ). We prov…