Mathematician:Franz Mertens

Mathematician
Polish mathematician known for his work in analytic number theory.

Nationality
Polish

History

 * Born: 20 March 1840 in Schroda, Posen, Prussia (now Środa Wielkopolska, Poland)
 * Died: 5 March 1927 in Vienna, Austria

Theorems and Definitions

 * Mertens' First Theorem
 * Mertens' Second Theorem
 * Mertens' Third Theorem
 * Mertens' Convergence Theorem


 * Mertens Conjecture


 * Mertens Function


 * Meissel-Mertens Constant (with ), also known as:
 * Kronecker's Constant, for
 * the Hadamard-de la Vallée-Poussin Constant, for and
 * the Prime Reciprocal Constant

Publications

 * 1865: De functione potentiali duarum ellipsoidium homogenearum
 * 1887: Invariante Gebilde ternärer Formen
 * 1889: Invariante Gebilde quaternärer Formen
 * 1895: Dirichletscher Reihen
 * 1897: Über eine zahlentheoretische Funktion
 * 1901: Zur linearen Transformation der q-Reihen
 * 1902: Beweis der Galois'schen Fundamentalsatzes

Also known as
Also known by the Polish form of his first name: Franciszek