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- W1604645321 abstract "Let f(n) be a multiplicative function satisfying |f(n)| ≤ 1, q (≤ N2) be a positive integer and a be an integer with (a, q) = 1. In this paper, we shall prove that $$sumlimits_{n leqslant N(n,q) = 1} {f(n)eleft( {frac{{abar n}} {q}} right) ll sqrt {frac{{tau (q)}} {q}} Nlog log (6N) + qtfrac{1} {4} + tfrac{varepsilon } {2}Ntfrac{1} {2}(log (6N))tfrac{1} {2} + frac{N} {{log log (6N)}},} $$where (overline n ) is the multiplicative inverse of {itn} such that (overline n n) ≡ 1 (mod {itq}), {ite}({itx}) = exp(2πi{itx}), and τ(·) is the divisor function." @default.
- W1604645321 created "2016-06-24" @default.
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- W1604645321 date "2015-12-10" @default.
- W1604645321 modified "2023-10-18" @default.
- W1604645321 title "Kloosterman sums with multiplicative coefficients" @default.
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- W1604645321 doi "https://doi.org/10.1007/s11425-015-5108-z" @default.
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