Abstract
AbstractIn this note, we use Dedekind’s eta function to prove a congruence relation between the number of representations by binary quadratic forms of discriminant
$-31$
and Fourier coefficients of a weight
$16$
cusp form. Our result is analogous to the classical result concerning Ramanujan’s tau function and binary quadratic forms of discriminant
$-23$
.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. On the number of representations of n by ax2+bxy+cy2
2. Ramanujan identities and Euler products for a type of Dirichlet series
3. Congruence Properties of Ramanujan's Function τ(n
)
4. [1] Ciolan, A. , Languasco, A. and Moree, P. , ‘Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms’, Preprint, 2021, arXiv:2109.03288, 43 pages.
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1 articles.
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