Background
He was born in Środa Wielkopolska in the Grand Duchy of Poznań, Kingdom of Prussia and died in Vienna, Austria.
mathematician university professor
He was born in Środa Wielkopolska in the Grand Duchy of Poznań, Kingdom of Prussia and died in Vienna, Austria.
The Mertens function M(x) is the sum function for the Möbius 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). The Meissel–Mertens constant is analogous to the Euler–Mascheroni constant, but the harmonic series sum in its definition is only over the primes rather than over all integers and the logarithm is taken twice, not just once.
Mertens" theorems are three 1874 results related to the density of prime numbers.
Erwin Schrödinger was taught calculus and algebra by Mertens.
Austrian Academy of Sciences. Göttingen Academy of Sciences.