TY - JOUR
T1 - Systems of congruences with products of variables from short intervals
AU - Shparlinski, Igor E.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - We obtain an upper bound for the number of solutions to the system of m congruences of the type (Equation Presented) modulo a prime p, with variables 1 ≤ xi ≤ h, i = 1,...,v and arbitrary integers sj, λj, j = 1,..., m, for a parameter h significantly smaller than p. We also mention some applications of this bound.
AB - We obtain an upper bound for the number of solutions to the system of m congruences of the type (Equation Presented) modulo a prime p, with variables 1 ≤ xi ≤ h, i = 1,...,v and arbitrary integers sj, λj, j = 1,..., m, for a parameter h significantly smaller than p. We also mention some applications of this bound.
UR - http://www.scopus.com/inward/record.url?scp=84946811063&partnerID=8YFLogxK
U2 - 10.1017/S0004972715001240
DO - 10.1017/S0004972715001240
M3 - Article
AN - SCOPUS:84946811063
SN - 0004-9727
VL - 93
SP - 364
EP - 371
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
IS - 3
ER -