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19952009
most citedOn the Andrews-Stanley Refinement of Ramanujan's Partition Congruence Modulo 5

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math.NT2007

K. Saito's Conjecture for Nonnegative Eta Products and Analogous Results for Other Infinite Products

Alexander Berkovich, Frank G. Garvan

We prove that the Fourier coefficients of a certain general eta product considered by K. Saito are nonnegative. The proof is elementary and depends on a multidimensional theta func…