Geodesic
Polynomial analogues of Ramanujan congruences for Han's hooklength formula
William J. Keith1
1 Michigan Technological University Fisher Hall 319 1400 Townsend Drive Houghton, MI 49931, U.S.A.
Acta Arithmetica, Tome 160 (2013) no. 4, pp. 303-315

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This article considers the eta power $\prod_{(1-q^k)}^{b-1}$. It is proved that the coefficients of ${q^n/n!}$ in this expression, as polynomials in $b$, exhibit equidistribution of the coefficients in the nonzero residue classes mod 5 when $n=5j+4$. Other symmetries, as well as symmetries for other primes and prime powers, are proved, and some open questions are raised.
DOI : 10.4064/aa160-4-1
Keywords: article considers eta power prod q b proved coefficients expression polynomials exhibit equidistribution coefficients nonzero residue classes mod other symmetries symmetries other primes prime powers proved questions raised

William J. Keith 1

1 Michigan Technological University Fisher Hall 319 1400 Townsend Drive Houghton, MI 49931, U.S.A. 
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William J. Keith. Polynomial analogues of Ramanujan congruences for
 Han's hooklength formula. Acta Arithmetica, Tome 160 (2013) no. 4, pp. 303-315. doi: 10.4064/aa160-4-1

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