The 2-adic valuation of plane partitions and totally symmetric partitions
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🧮 math.CO
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partitionsplanedividingnumberpowersymmetrictotallywhen
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This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an n-cube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when n is even, and less when n is odd.
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