AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS

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$AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS$

AN APPLICATION OF BINARY QUADRATIC FORMS OF DISCRIMINANT $\boldsymbol {-31}$ TO MODULAR FORMS

AYGIN, ZAFER SELCUK; WILLIAMS, KENNETH S.

Bulletin of the Australian Mathematical Society, 10/2022, Volume: 106, Issue: 2

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In 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 $-23$ .

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AYGIN, ZAFER SELCUK | WILLIAMS, KENNETH S.

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