TY - JOUR
T1 - An average bound for character sums with some counter-dependent recurrence sequences
AU - Balasuriya, Sanka
AU - Winterhof, Arne
AU - Shparlinski, Igor E.
PY - 2009
Y1 - 2009
N2 - We estimate hybrid sums of multiplicative and additive characters "on average" over all initial values aa(0) = a with the sequences aa(n) over a finite field Fp, where p is prime, defined by a(n) = naa(n - 1) + 1, n = 1, 2,. Various arithmetic properties of such sequences have recently been studied in the literature.
AB - We estimate hybrid sums of multiplicative and additive characters "on average" over all initial values aa(0) = a with the sequences aa(n) over a finite field Fp, where p is prime, defined by a(n) = naa(n - 1) + 1, n = 1, 2,. Various arithmetic properties of such sequences have recently been studied in the literature.
UR - http://www.scopus.com/inward/record.url?scp=72549084565&partnerID=8YFLogxK
U2 - 10.1216/RMJ-2009-39-5-1403
DO - 10.1216/RMJ-2009-39-5-1403
M3 - Article
AN - SCOPUS:72549084565
VL - 39
SP - 1403
EP - 1409
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
SN - 0035-7596
IS - 5
ER -