We study the Mertens conjecture and revisit and improve the original constructivedisproof of Janos Pintz. We obtain a new lower bound for the minimal counterexample and new numerical results for this conjecture.
Mertens conjecture
Mathematics of Computing (acm G)
unknown (msc 11M06)
Other (theme 6)
A.M.S.
doi.org/10.1090/S0025-5718-2013-02716-0
Mathematics of Computation
Cryptology

Saouter, Y, & te Riele, H.J.J. (2014). Improved results on the Mertens conjecture. Mathematics of Computation, 83, 421–433. doi:10.1090/S0025-5718-2013-02716-0