View source for Yegor Ivanovich Zolotaryov

{{Short description|Russian mathematician (1847–1878)}}
[[Image:Yegor Ivanovich Zolotarev.jpg|200px|thumb|right|Zolotaryov in 1878]]
'''Yegor (Egor) Ivanovich Zolotaryov''' ({{langx|ru|Его́р  Ива́нович Золотарёв}}) (31 March 1847, [[Saint Petersburg]] – 19 July 1878, Saint Petersburg) was a Russian [[mathematician]].

== Biography ==

Yegor  was born  as a son of Agafya Izotovna Zolotaryova and the merchant Ivan Vasilevich Zolotaryov in Saint Petersburg, [[Imperial Russia]]. 
In 1857 he began to study at the fifth St Petersburg [[Gymnasium (school)|gymnasium]], a school which centred on [[mathematics]] and [[natural science]]. He finished it with the silver medal in 1863. In the same year he was allowed to be an auditor at the physico-mathematical faculty of [[Saint Petersburg State University|St Petersburg university]].

He had not been able to become a student before 1864 because he was too young. Among his academic teachers were [[Osip Somov|Somov]], [[Pafnuty Chebyshev|Chebyshev]] and [[Aleksandr Korkin]], with whom he would have a tight scientific friendship.
In November 1867 he defended his [[Kandidat]] thesis ''“About the Integration of Gyroscope Equations”'', after 10 months there followed his thesis [[pro venia legendi]] ''About one question on Minima''. With this work he was given the right to teach as a private lecturer at St Petersburg university.

He first lectured on [[differential calculus]] to science students (until summer 1871), later [[integral calculus]] and analysis to beginners of mathematics. Except for a short pause he lectured on [[elliptic function]]s to students of higher semesters during his whole job as lecturer and professor.

In December 1869, Zolotaryov defended his master's thesis ''“About the Solution of the Indefinite Equation of Third Degree x³ + Ay³ + A²z³ - 3Axyz = 1”''.

He took his first trip abroad in 1872 and visited [[Berlin]] and [[Heidelberg]]. In
Berlin he attended [[Karl Weierstrass|Weierstrass]]' "theory of analytic functions", in Heidelberg Koenigsberger's.

In 1874, Zolotaryov become a member of the university staff as a lecturer and in
the same year he defended his doctoral thesis ''“Theory of integer Complex Numbers with an Application to Integral Calculus”''. The algorithm Zolotaryov proved there
was created by Chebyshev and that algorithm allowed to see whether integral of the form
:<math>\int \frac{x+A}{\sqrt{x^4+ax^3+bx^2+cx+d}}\, dx</math>
was elementary, in this case representable in logarithms. This was a question Chebyshev had been interested in since the beginning of his research.

Starting at the beginning of the winter semester 1876 Zolotaryov was appointed extraordinary professor, and after the death of academician Somov he became his successor as an adjunct of the [[Russian Academy of Science|Academy of Sciences]].

Egor Ivanovich Zolotaryov's steep career ended abruptly with his early death. He was on his way to his [[dacha]] when he was run over by a train in the [[Tsarskoe Selo]] station. On 19 July 1878 he died from [[blood poisoning]].

Yegor Ivanovich is not to be confused with the probabilist Vladimir Mikhaelovich Zolotaryov, Kolmogorov's disciple, who worked on [[stable distributions]] with well known results on their parametrization.<ref>{{Cite web|url=http://genealogy.math.ndsu.nodak.edu/id.php?id=10480|title = Andrei Kolmogorov - the Mathematics Genealogy Project}}</ref><ref>Zolotaryov, V. M. (1986). One-dimensional stable distributions (Vol. 65). American Mathematical Soc.</ref>

== Bibliography ==
* {{cite journal |author=Zolotareff G. |title=Nouvelle démonstration de la loi de réciprocité de Legendre |journal=[[Nouvelles Annales de Mathématiques]] |series=2e série |volume=11 |year=1872 |pages=354–362 |url=http://archive.numdam.org/article/NAM_1872_2_11__354_0.pdf}}
* {{cite journal |author=Zolotareff G. |title= Sur la méthode d'intégration de M. Tchébychef |journal= Mathematische Annalen|year=1872 |volume=5 |issue=4 |pages=560–580 |doi=10.1007/BF01442910|s2cid=123629827 }}
* {{cite journal |author=Korkine A., Zolotareff G. |title=Sur les formes quadratiques positives quaternaires |journal= Mathematische Annalen|year=1872 |volume=5 |issue=4 |pages=581–583 |doi=10.1007/BF01442912|s2cid=119606974 |url=https://zenodo.org/record/2163568 }}
* {{cite journal |author=Korkine A., Zolotareff G. |title=Sur les formes quadratiques |journal= Mathematische Annalen|year=1873 |volume=6 |issue=3 |pages=366–389 |doi=10.1007/BF01442795|s2cid=120492026 }}
* {{cite journal |author=Korkine A., Zolotareff G. |title=Sur les formes quadratiques positives |journal= Mathematische Annalen|year=1877 |volume=11 |issue=2 |pages=242–292 |doi=10.1007/BF01442667|s2cid=121803621 |url=https://zenodo.org/record/1896288 }}
* {{cite journal |author=Zolotareff E. I. |title=Sur la méthode d'intégration de M. Tchébychef |journal=Journal de Mathématiques Pures et Appliquées |series=2e Série |year=1874 |volume=16 |pages=161–188}}
* {{cite journal |author=Zolotareff E. I. |title=Sur la théorie des nombres complexes |journal=Journal de Mathématiques Pures et Appliquées |series=3e Série |year=1880 |volume=6 |pages=51–84, 129–166}}

==See also==
* [[Zolotarev's lemma]]
* [[Zolotarev polynomials]]
* [[Elliptic filter]] also known as a Zolotarev filter.

==References==
{{Reflist}}

==External links==
*{{MacTutor Biography|id=Zolotarev}}

{{Authority control}}

{{DEFAULTSORT:Zolotaryov, Yegor Ivanovich}}
[[Category:1847 births]]
[[Category:1878 deaths]]
[[Category:19th-century mathematicians from the Russian Empire]]
[[Category:Mathematicians from Saint Petersburg]]
[[Category:Saint Petersburg State University alumni]]
[[Category:Full members of the Saint Petersburg Academy of Sciences]]
[[Category:Railway accident deaths in Russia]]
[[Category:Number theorists]]
[[Category:Approximation theorists]]