On the Euler Function on Differences Between the Coordinates of Points on Modular Hyperbolas
Igor E. Shparlinski (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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For a prime p > 2, an integer a with gcd(a,p) = 1 and real 1 ≤ X,Y < p, we consider the set of points on the modular hyperbola . We give asymptotic formulas for the average values and with the Euler function φ(k) on the differences between the components of points of .