Franz Mertens(20 March 1840 – 5 March 1927) (also known asFranciszek Mertens) was a Polishmathematician.He was born inSchrodain theGrand Duchy of Posen,Kingdom of Prussia(nowŚroda Wielkopolska,Poland) and died inVienna,Austria.
Franz Mertens | |
|---|---|
 | |
| Born | 20 March 1840 |
| Died | 5 March 1927(aged 86) |
| Nationality | Polish |
| Alma mater | University of Berlin |
| Known for | Mertens conjecture Mertens function Meissel–Mertens constant Mertens's theorems |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Vienna Graz Polytechnic Jagiellonian University |
| Doctoral advisor | Ernst Eduard Kummer Leopold Kronecker |
| Doctoral students | Ernst S. Fischer Eduard Helly |
TheMertens functionM(x) is the sum function for theMöbius function,in the theory ofarithmetic functions.TheMertens conjectureconcerning its growth, conjecturing it bounded byx1/2,which would have implied theRiemann hypothesis,is now known to be false (Odlyzkoandte Riele,1985). TheMeissel–Mertens constantis analogous to theEuler–Mascheroni constant,but theharmonic seriessum in its definition is only over theprimesrather than over all integers and the logarithm is taken twice, not just once.Mertens's theoremsare three 1874 results related to the density of prime numbers.
Erwin Schrödingerwas taught calculus and algebra by Mertens.[1]
His memory is honoured by the Franciszek Mertens Scholarship granted (from 2017) to those outstanding pupils of foreign secondary schools who wish to study at the Faculty of Mathematics and Computer Science of theJagiellonian UniversityinKrakówand were finalists of thenational-level mathematics,or computer science olympiads, or they have participated in one of the following international olympiads: inmathematics(IMO),computer science(IOI),artificial intelligence(IOAI),astronomy(IAO),astronomy and astrophysics(IOAA),physics(IPhO),linguistics(IOL),European Girls' Mathematical Olympiad(EGMO), European Girls’ Olympiad in Informatics (EGOI), Romanian Masters of Mathematics (RMM), Romanian Masters of Informatics (RMI) or International Zhautykov Olympiad (IZhO).[2]
See also
editReferences
edit- ^"Erwin Schrödinger biography".
- ^"Franciszek Mertens Scholarship".Retrieved2024-05-04.
External links
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Media related toFranz Mertens (mathematician)at Wikimedia Commons- O'Connor, John J.;Robertson, Edmund F.,"Franz Mertens",MacTutor History of Mathematics Archive,University of St Andrews
- Franz Mertensat theMathematics Genealogy Project
