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math.NT2000
Apollonian Circle Packings: Number Theory
R. L. Graham, J. C. Lagarias, C. L. Mallows +2
Apollonian circle packings arise by repeatedly filling the interstices between mutually tangent circles with further tangent circles. It is possible for every circle in such a pack…
math.NT2000★ 3 cited
An Elementary Problem Equivalent to the Riemann Hypothesis
Jeffrey C. Lagarias
This paper shows the equivalence of the Riemann hypothesis to an sequence of elementary inequalities involving the harmonic numbers H_n, the sum of the reciprocals of the integers…