TY - JOUR
T1 - Integer points close to algebraic curves
AU - Boca, Florin P.
AU - Vâjâitu, Marian
AU - Zaharescu, Alexandru
N1 - Funding Information:
Research of the rst author supported by an EPSRC Advanced Research Fellowship. Research partially supported by ANSTI grant C6189/2000.
PY - 2002
Y1 - 2002
N2 - For any algebraic curve with unbounded branches in the plane, two numbers in [0, ∞] are defined that measure how closely to the curve it is possible to find infinitely many integer points. These numbers are shown to be 1 for almost all such curves. The state of the art in estimating these numbers for several classes of curves is also discussed.
AB - For any algebraic curve with unbounded branches in the plane, two numbers in [0, ∞] are defined that measure how closely to the curve it is possible to find infinitely many integer points. These numbers are shown to be 1 for almost all such curves. The state of the art in estimating these numbers for several classes of curves is also discussed.
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U2 - 10.1112/S0024610701002812
DO - 10.1112/S0024610701002812
M3 - Article
AN - SCOPUS:0036049610
SN - 0024-6107
VL - 65
SP - 10
EP - 26
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
IS - 1
ER -