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Results tagged with half-integral-weight
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user 95750
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
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Estimate the ratio $\dfrac{\left(\sum_{n\le X}a(n)\right)^2}{\underset{n\le X}{\sum} a(n)^2}$
Let $f=\sum_{n\ge 1} a(n)q^n\in M_{k+\frac{1}{2}}(\Gamma_0(4N),\chi)$ be a modular form of half-integral wieght.
Can someone prove or disprove that:
$$X\ll \dfrac{\left(\sum_{n\le X}a(n)\right)^2}{ …
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