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- W2313565572 abstract "Let f be a Maass cusp form for SL3(ℤ) with Fourier coefficients . We consider the sum , where . A bound better than is proved to be valid for certain transcendental numbers . This bound improves Miller's result (2006) for these α. For α close to a rational number with , the smooth sum is further proved to decay rapidly. This extends a result of Booker (2000 and 2005) on a smooth sum of without the exponential function. These bounds manifest a strange vibration nature of Maass cusp forms. The main techniques include rational approximation of real numbers, a Voronoi summation formula for SL3(ℤ), and its asymptotic expansion." @default.
- W2313565572 created "2016-06-24" @default.
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- W2313565572 date "2014-01-01" @default.
- W2313565572 modified "2023-10-17" @default.
- W2313565572 title "Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions" @default.
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- W2313565572 doi "https://doi.org/10.1515/form.2011.157" @default.
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