Franz

Franz Mertens

Franz
#13,148
Most Influential Person Across History

Polish-Austrian mathematician

Franz Mertens's Academic­Influence.com Rankings

Franz Mertens
Mathematics
#846
Historical Rank
Complex Analysis
#41
Historical Rank
Number Theory
#56
Historical Rank
mathematics Degrees
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Why Is Franz Mertens Influential?

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According to Wikipedia, Franz Mertens was a Polish mathematician. He was born in Schroda in the Grand Duchy of Posen, Kingdom of Prussia and died in Vienna, Austria. The Mertens function M 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 . 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's theorems are three 1874 results related to the density of prime numbers.

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