Character sums with smooth numbers |
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Authors: | Igor E Shparlinski |
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Institution: | 1.Department of Pure Mathematics,University of New South Wales,Sydney,Australia |
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Abstract: | We use the large sieve inequality for smooth numbers due to Drappeau et al. (Smooth-supported multiplicative functions in arithmetic progressions beyond the \(x^{1/2}\)-barrier, Preprint, 2017. arXiv:1704.04831), together with some other arguments, to improve their bounds on the frequency of pairs \((q,\chi )\) of moduli q and primitive characters \(\chi \) modulo q, for which the corresponding character sums with smooth numbers are large. |
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