Chen's conjecture on positive-density shifted Romanoff type sumsets
Chen's conjecture. If r1,…,rtr_1,\ldots,r_tr1,…,rt are positive integers with r1−1+⋯+rt−1≥1r_1^{-1}+\cdots+r_t^{-1}\geq 1r1−1+⋯+rt−1≥1, then RA∩(RA+2)\mathcal{R}_{\mathcal{A}}\cap(\mathcal{R}_{\mathcal{A}}+2)RA∩(RA+2) has positive l…
Asymptotic formula for the totient sum over prime quotients
Asymptotic formula.