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A short note on the Bruiner–Kohnen sign equidistribution conjecture and Halász’ theorem
Preview AbstractIn this note, we improve earlier results towards the Bruinier–Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using a consequence of Halász’ theorem. Moreover, by applying a result of Serre, we remove all unproved assumptions.
On the Shimura lift modulo 2
Preview AbstractWe study the kernel of the Shimura lifting from modular forms of half-integral weight to integral weight.