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Results tagged with half-integral-weight
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user 95842
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
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Estimate the ratio $\dfrac{\left(\sum_{n\le X}a(n)\right)^2}{\underset{n\le X}{\sum} a(n)^2}$
If your $f$ is a Hecke-cusp form then the estimate is certainly false, and the ratio is $o(X)$, since the coefficients $a(n)$ oscillate and there is a lot of cancellations in $\sum a(n)$. If $f$ is so …
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