TY - JOUR
T1 - A class of algebraic-exponential congruences modulo p
AU - Cobeli, C.
AU - Vâjâitu, M.
AU - Zaharescu, A.
PY - 2002
Y1 - 2002
N2 - Let p be a prime number, J a set of consecutive integers, F̄p the algebraic closure of Fp = Z/pZ and C an irreducible curve in an affine space Ar(F̄p), defined over Fp. We provide a lower bound for the number of r-tuples (x, y1, . . . , yr-1) with x ∈ J, y1, . . . , yr-1 ∈ {0, 1, . . . , p - 1} for which (x, y1 x, . . . , yr-1 x) (mod p) belongs to C(Fp).
AB - Let p be a prime number, J a set of consecutive integers, F̄p the algebraic closure of Fp = Z/pZ and C an irreducible curve in an affine space Ar(F̄p), defined over Fp. We provide a lower bound for the number of r-tuples (x, y1, . . . , yr-1) with x ∈ J, y1, . . . , yr-1 ∈ {0, 1, . . . , p - 1} for which (x, y1 x, . . . , yr-1 x) (mod p) belongs to C(Fp).
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M3 - Article
AN - SCOPUS:17844370007
SN - 0862-9544
VL - 71
SP - 113
EP - 117
JO - Acta Mathematica Universitatis Comenianae
JF - Acta Mathematica Universitatis Comenianae
IS - 1
ER -