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Lacunarity of Dedekind η-products
The Dedekind η-function is defined by where τ lies in the upper half plane ℋ = {tau;|Im(τ) > 0}, and x = e 2πiτ . It is a modular form of weight ½ with a multiplier system. We define an η-product to be a function f (τ) of the form …