Exponential sums with Catalan numbers and middle binomial coefficients |
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| Authors: | Moubariz Z Garaev |
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| Institution: | a Instituto de Matemáticas, Universidad National Autónoma de México, C.P 58089, Morelia, Michoacán, México
b Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
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| Abstract: | We estimate the number of solutions of certain congruences with Catalan numbers and middle binomial coefficients modulo a prime. We use these results to bound double exponential sums with products of two Catalan numbers and two middle binomial coefficients, respectively, which in turn lead us to upper bounds on single exponential sums. |
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