The $m$-th Element of a Sidon Set

R. Balasubramanian, Sayan Dutta

We prove that if $A=\{a_1,\dots ,a_{|A|}\}\subset \{1,2,\dots ,n\}$ is a Sidon set so that $|A|=n^{1/2}-L^{\prime }$, then $$a_m = m\cdot n^{1/2} + \mathcal O\left( n^{7/8}\right) + \…