. . . "German mathematician" . . . . "Mertens, Franz"@en . . "1927Z"^^ . . "1840-03-20Z"^^ . . . . . . . . . . "1927-03-05Z"^^ . . "Franciszek (Franz) Mertens (20 March 1840 \u2013 5 March 1927) was a Polish-Austrian mathematician. He was born in \u015Aroda Wielkopolska in the Grand Duchy of Pozna\u0144, Kingdom of Prussia and died in Vienna, Austria.The Mertens function M(x) is the sum function for the M\u00F6bius function, in the theory of arithmetic functions. The Mertens conjecture concerning its growth, conjecturing it bounded by x1/2, which would have implied the Riemann hypothesis, is now known to be false (Odlyzko and te Riele, 1985)."@en . "1840Z"^^ . . "Franz Mertens"@en .