Sergei Aleksandrovich Stepanov
Sergei Aleksandrovich Stepanov (Сергей Александрович Степанов; 24 February 1941) is a Russian mathematician, specializing in number theory. He is known for his 1969 proof using elementary methods of the Riemann hypothesis for zeta-functions of hyperelliptic curves over finite fields, first proved by André Weil in 1940–1941 using sophisticated, deep methods in algebraic geometry.

Stepanov received in 1977 his Russian doctorate (higher doctoral degree) from the Steklov Institute under Dmitry Konstantinovich Faddeev with dissertation (translated title) "An elementary method in algebraic number theory". He was from 1987 to 2000 a professor at the Steklov Institute in Moscow. In the 1990s he was also at Bilkent University in Ankara. He is at the Institute for Problems of Information Transmission of the Russian Academy of Sciences.

Stepanov is best known for his work in arithmetic algebraic geometry, especially for the Weil conjectures on algebraic curves. He gave in 1969 an "elementary" ("i.e." using elementary methods) proof of a result first proved by André Weil using sophisticated methods, not readily understable by mathematicians who are not specialists in algebraic geometry. Wolfgang M. Schmidt extended Stepanov's methods to prove the general result, and Enrico Bombieri succeeded in using the work of Stepanov and Schmidt to give a substantially simplified, elementary proof of the Riemann hypothesis for zeta-functions of curves over finite fields. Stepanov's research also deals with applications of algebraic geometry to coding theory.

He was an Invited Speaker of the ICM in 1974 in Vancouver. He received in 1975 the USSR State Prize. He was elected a Fellow of the American Mathematical Society in 2012.
Q323232
André Weil
PER
Q611420
Steklov Institute
LOC
Q1232555
Dmitry Konstantinovich Faddeev
PER
Q861904
Bilkent University
ORG
Q3640
Ankara
LOC
Q83172
Russian Academy of Sciences
ORG
Q1479613
Weil conjectures
Concept
Q86087
Wolfgang M. Schmidt
PER
Q333538
Enrico Bombieri
PER
Q860611
ICM
LOC
Q758861
USSR State Prize
PER
Q465654
American Mathematical Society
ORG
Q1269213
Sergei Aleksandrovich Stepanov
PER
1941-02-24T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
24 February 1941
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