Delta form: Difference between revisions

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where τ is [[Ramanujan's]] [[tau function]].  Since Δ is a Hecke eigenform, the tau function is multiplicative.
where τ is [[Ramanujan's]] [[tau function]].  Since Δ is a Hecke eigenform, the tau function is multiplicative.


Dedekind's [[eta function]] is a 24-th root of Δ.
Dedekind's [[eta function]] is a 24-th root of Δ.[[Category:Suggestion Bot Tag]]

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In mathematics, Delta is a modular form, arising from the discriminant of an elliptic curve. As a modular form it is a cusp form of weight 12 and level 1 for the full modular group. It is an eigenform for the Hecke algebra.

The q-expansion is

where τ is Ramanujan's tau function. Since Δ is a Hecke eigenform, the tau function is multiplicative.

Dedekind's eta function is a 24-th root of Δ.