Asymptotics for numbers of line segments and lines in a square grid
نویسندگان
چکیده
We present an asymptotic formula for the number of line segments connecting q + 1 points of an n × n square grid, and a sharper formula, assuming the Riemann hypothesis. We also present asymptotic formulas for the number of lines through at least q points and, respectively, through exactly q points of the grid. The well-known case q = 2 is so generalized.
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عنوان ژورنال:
- CoRR
دوره abs/1110.6864 شماره
صفحات -
تاریخ انتشار 2011