Hans Carl Friedrich von Mangoldt
Encyclopedia
Hans Carl Friedrich von Mangoldt (1854–1925) was a German
mathematician
who contributed to the solution of the prime number theorem
.
Von Mangoldt completed his Doctor of Philosophy (Ph.D) in 1878 at the University of Berlin
, where his advisors were Ernst Kummer
and Karl Weierstrass
. He contributed to the solution of the prime number theorem by providing rigorous proofs of two statements in Bernhard Riemann
's seminal paper On the Number of Primes Less Than a Given Magnitude
. Riemann himself had only given partial proofs of these statements. Mangoldt worked as professor at the RWTH Aachen
and was succeeded by Otto Blumenthal
.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
who contributed to the solution of the prime number theorem
Prime number theorem
In number theory, the prime number theorem describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are distributed amongst the positive integers....
.
Von Mangoldt completed his Doctor of Philosophy (Ph.D) in 1878 at the University of Berlin
Humboldt University of Berlin
The Humboldt University of Berlin is Berlin's oldest university, founded in 1810 as the University of Berlin by the liberal Prussian educational reformer and linguist Wilhelm von Humboldt, whose university model has strongly influenced other European and Western universities...
, where his advisors were Ernst Kummer
Ernst Kummer
Ernst Eduard Kummer was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker.-Life:Kummer...
and Karl Weierstrass
Karl Weierstrass
Karl Theodor Wilhelm Weierstrass was a German mathematician who is often cited as the "father of modern analysis".- Biography :Weierstrass was born in Ostenfelde, part of Ennigerloh, Province of Westphalia....
. He contributed to the solution of the prime number theorem by providing rigorous proofs of two statements in Bernhard Riemann
Bernhard Riemann
Georg Friedrich Bernhard Riemann was an influential German mathematician who made lasting contributions to analysis and differential geometry, some of them enabling the later development of general relativity....
's seminal paper On the Number of Primes Less Than a Given Magnitude
On the Number of Primes Less Than a Given Magnitude
die Anzahl der Primzahlen unter einer gegebenen is a seminal 8-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.Although it is the only paper he ever published on number theory, it...
. Riemann himself had only given partial proofs of these statements. Mangoldt worked as professor at the RWTH Aachen
RWTH Aachen
RWTH Aachen University is a research university located in Aachen, North Rhine-Westphalia, Germany with roughly 33,000 students enrolled in 101 study programs....
and was succeeded by Otto Blumenthal
Otto Blumenthal
Ludwig Otto Blumenthal was a German mathematician and professor at RWTH Aachen University. He was born in Frankfurt, Prussia...
.
See also
- Prime-counting function
- Riemann–von Mangoldt formula
- Von Mangoldt functionVon Mangoldt functionIn mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt.-Definition:The von Mangoldt function, conventionally written as Λ, is defined as...
- MangoldMangoldMangold is an Old High German surname which may refer to:* Hans Carl Friedrich von Mangoldt , German mathematician** Von Mangoldt function, an arithmetic function* Hilde Mangold , German developmental biologist...