AbstractLet c ε IN. Fordε ℤ with gcd (d, c) = 1 let δ(d,c) be defined byd· δ(d, c) 1 modc, 1 ⩽ δ(d, c) ⩽c. Lets,tε IN with 1 ⩽ s ⩽c, 1 ⩽ t ⩽c. The main result is that for arbitrary fixed ε>0, but uniformly overc, sandtEquivalently, the points (d, δ(c,d)) are approximately uniformly distributed in 0, c × 0,c: The two‐dimensional discrepancy of {(d,δ (c,d)): 1 ⩽d⩽cand (c,d)=
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