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math.NT2004
Divisibility tests and recurring decimals in Euclidean domains
Apoorva Khare
In this article, we try to explain and unify standard divisibility tests found in various books. We then look at recurring decimals, and list a few of their properties. We show how…
math.RT2004★ 20 cited
Quantized symplectic oscillator algebras of rank one
Wee Liang Gan, Nicolas Guay, Apoorva Khare
A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with U_q(sl_2). We study its representation theory, and in partic…