Multiplicative character sums with the sum of g-ary Digits Function |
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| Authors: | William D Banks Igor E Shparlinski |
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| Institution: | (1) Department of Mathematics, University of Missouri, Columbia, Missouri, 65211;(2) Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
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| Abstract: | We establish upper bounds for multiplicative character sums with the function σg (n) which computes the sum of the digits of n in a fixed base g ≥ 2. Our results may be viewed as analogues of some previously known results for exponential sums with sum of g-ary digits function.
2000 Mathematics Subject Classification Primary—11A63, 11B50, 11L40 |
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| Keywords: | Estimate for multiplicative character sums g-ary digits |
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