TY - JOUR
T1 - Exponential sums with Catalan numbers and middle binomial coefficients
AU - Garaev, Moubariz Z.
AU - Luca, Florian
AU - Shparlinski, Igor E.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34447283071&partnerID=8YFLogxK
U2 - 10.1016/S0019-3577(07)80004-8
DO - 10.1016/S0019-3577(07)80004-8
M3 - Article
AN - SCOPUS:34447283071
SN - 0019-3577
VL - 18
SP - 23
EP - 37
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 1
ER -