Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms
2014 ◽
Vol 150
(5)
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pp. 763-797
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Keyword(s):
AbstractLet$\nu _{f}(n)$be the$n\mathrm{th}$normalized Fourier coefficient of a Hecke–Maass cusp form$f$for${\rm SL }(2,\mathbb{Z})$and let$\alpha $be a real number. We prove strong oscillations of the argument of$\nu _{f}(n)\mu (n) \exp (2\pi i n \alpha )$as$n$takes consecutive integral values.
2017 ◽
Vol 13
(05)
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pp. 1233-1243
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2014 ◽
Vol 11
(01)
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pp. 39-49
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Keyword(s):
1984 ◽
Vol 93
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pp. 149-171
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Keyword(s):
2018 ◽
Vol 14
(08)
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pp. 2277-2290
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Keyword(s):
1992 ◽
Vol 128
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pp. 171-176
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Keyword(s):
2012 ◽
Vol 2012
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pp. 1-9