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· 1995

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On multiplicative recurrence along linear patterns

math.NT · 2024-12-04 · accept · novelty 8.0

For gcd(a,b,c,d)=1, the liminf of |f(an+b)-f(cn+d)| is zero for every completely multiplicative unit-circle f if and only if a=c and either b=d or a divides bd.

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  • On multiplicative recurrence along linear patterns math.NT · 2024-12-04 · accept · none · ref 6

    For gcd(a,b,c,d)=1, the liminf of |f(an+b)-f(cn+d)| is zero for every completely multiplicative unit-circle f if and only if a=c and either b=d or a divides bd.