Every infinite B_h-set with h even satisfies liminf A(n)/(n/log n)^{1/h} at most (pi/log 2 * Gamma(1+h/2)^2 / Gamma(1+1/h)^h)^{1/h}.
Math.255(2014), 474–486, DOI 10.1016/j.aim.2014.01.011
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On the Thickness of Infinite Generalized Sidon Sets, II
Every infinite B_h-set with h even satisfies liminf A(n)/(n/log n)^{1/h} at most (pi/log 2 * Gamma(1+h/2)^2 / Gamma(1+1/h)^h)^{1/h}.