Hans-Egon Richert

Infobox Scientist
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name = Hans-Egon Richert


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birth_date = 1924
birth_place = Hamburg
death_date = death date| 1993 |11|25
death_place = Blaustein, Germany
residence = Germany
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fields = Mathematics
workplaces = University of Göttingen
University of Marburg
University of Ulm
alma_mater = University of Hamburg
doctoral_advisor = Max Deuring
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known_for = additive number theory
sieve theory
Dirichlet divisor problem
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Hans-Egon Richert (1924, Hamburg–November 25, 1993, Blaustein) was a German mathematician who worked primarily in analytic number theory. He is the author (with Heini Halberstam) of a definitive book] on sieve theory.

Life and education

Hans-Egon Richert was born in 1924 in Hamburg, Germany. He attended the University of Hamburg and received his Ph.D under Max Deuring in 1950. He held a temporary chair at the University of Göttingen and then a newly-created chair at the University of Marburg. In 1972 he moved to the University of Ulm, where he remained until his retirement in 1991. He died on November 25, 1993 in Blaustein, near Ulm, Germany.cite web
url= http://www.mathematik.uni-ulm.de/fak/presse/richert.html.en
title= Died: Prof. Dr. Hans-Egon Richert
accessdate= 2008-07-21
last= Vorhauer
first= Ulrike
authorlink=
coauthors= Eduard Wirsing
year= 1994
month= January
publisher= University of Ulm]

Work

Richert worked primarily in analytic number theory, and beginning around 1965 started a collaboration with Heini Halberstam and shifted his focus to sieve theory. For many years he was a chairman of the Analytic Number Theory meetings at Mathematisches Forschungsinstitut Oberwolfach.

Analytic number theory

Richert made contributions to additive number theory, Dirichlet series, Riesz summability, the multiplicative analog of the Erdős–Fuchs theorem, estimates of the number of non-isomorphic abelian groups, and bounds for exponential sums. He proved the exponent 15/46 for the Dirichlet divisor problem, a record that stood for many years.

ieve methods

One of Richert's notable results was the Jurkat–Richert Theorem, joint work with Wolfgang B. Jurkat that improved the Selberg sieve and is used in the proof of Chen's theorem.] Rp|257Richert also produced a "readable form" of Chen's theorem (it is covered in the last chapter of "Sieve Methods").

Halberstam & Richert's book "Sieve Methods" was the first exhaustive account of the subject.cite journal
last = Montgomery
first = H. L.
authorlink = Hugh Montgomery
year = 1976
month = November
title = Book Reviews: Sieve Methods
journal = Bulletin of the American Mathematical Society
volume = 82
issue = 6
pages = 846–853
publisher = American Mathematical Society
location = Providence
doi = 10.1090/S0002-9904-1976-14180-8 ] In reviewing the book in 1976, Hugh Montgomery wrote "In the past, researchers have generally derived the sieve bounds required for an application, but now workers will find that usually an appeal to an appropriate theorem of "Sieve methods" will suffice," and "For years to come, "Sieve methods" will be vital to those seeking to work in the subject, and also to those seeking to make applications."

Notes

External Links

*MathGenealogy|id=21605

Persondata
NAME = Richert, Hans-Egon
ALTERNATIVE NAMES =
SHORT DESCRIPTION = Mathematician
DATE OF BIRTH = 1924
PLACE OF BIRTH = Hamburg, Germany
DATE OF DEATH = November 25, 1993
PLACE OF DEATH = Blaustein, Germany