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Sergei Aleksandrovich Stepanov (Сергей Але … 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.the American Mathematical Society in 2012.
, Сергей Александрович Степанов (род. 24 фев … Сергей Александрович Степанов (род. 24 февраля 1941, Москва) — советский и российский математик, работающий над теорией чисел, лауреат Государственной премии СССР (1975), доктор физико-математических наук (1977), доцент (1991), профессор кафедры фундаментальной и прикладной математики Института информационных наук и технологий безопасности РГГУ, член Американского математического общества (с 2012). В работе 1969 года он использовал элементарные методы гипотезы Римана для дзета-функций гиперэлиптических кривых над конечными полями, ранее доказанных Андре Вейлем в 1940—1941 годах.доказанных Андре Вейлем в 1940—1941 годах.
, Sergei Alexandrowitsch Stepanow (russisch … Sergei Alexandrowitsch Stepanow (russisch Сергей Александрович Степанов; im Englischen häufig als S. A. Stepanov zitiert; * 24. Februar 1941) ist ein russischer Mathematiker, der sich mit Zahlentheorie beschäftigt. Er ist am Institut für Probleme der Informationsübertragung der Russischen Akademie der Wissenschaften. Stepanow habilitierte sich (russischer Doktortitel) 1977 am Steklow-Institut bei Dmitri Konstantinowitsch Faddejew mit der Arbeit Eine elementare Methode in der algebraischen Zahlentheorie. Er war 1987 bis 2000 Professor am Steklow-Institut in Moskau. In den 1990er Jahren war er außerdem an der Bilkent-Universität in Ankara. Bekannt ist Stepanov für seine Arbeiten in der arithmetischen algebraischen Geometrie, speziell für die Weil-Vermutungen über algebraischen Kurven, für die zuerst André Weil selbst einen Beweis führte. Stepanow gab 1969 einen „elementaren“ Beweis. Er befasst sich auch mit Kodierungstheorie unter Aspekten der algebraischen Geometrie. Er erhielt 1975 den Staatspreis der UdSSR. Er ist Fellow der American Mathematical Society. Fellow der American Mathematical Society.
, Sergei Aleksandrovich Stepanov (em russo: … Sergei Aleksandrovich Stepanov (em russo: Сергей Александрович Степанов; 24 de fevereiro de 1941) é um matemático russo, especialista em teoria dos números. É conhecido por sua prova de 1969 da hipótese de Riemann para funções zeta de curvas hiperelípticas sobre campos finitos usando métodos elementares, provada a primeira vez por André Weil em 1940–1941 usando métodos sofisticados em geometria algébrica. Stepanov obteve em 1977 o doutorado russo no Instituto de Matemática Steklov, orientado por Dmitry Konstantinovich Faddeev com a tese (título traduzido em inglês) An elementary method in algebraic number theory. Foi de 1987 a 2000 professor do Instituto de Matemática Steklov em Moscou. Na década de 1990 foi professor da Universidade Bilkent em Ancara. Atualmente trabalha no Institute for Problems of Information Transmission da Academia de Ciências da Rússia. Stepanov é mais conhecido por seu trabalho em geometria algébrica aritmética, especialmente pelas sobre curvas algébricas. Desenvolveu em 1969 uma prova elementar de um resultado primeiramente provado por André Weil usando métodos sofisticados, não imediatamente entendidos por matemáticos não especialistas em geometria algébrica. Wolfgang Schmidt ampliou o método de Stepanov para provar o resultado geral, e Enrico Bombieri aplicou os trabalhos de Stepanov e Schmidt deduzindo uma prova elementar substancialmente simplificada das hipóteses de Riemann para funções zeta sobre curvas sobre campos finitos. Foi palestrante convidado do Congresso Internacional de Matemáticos em Vancouver (1974). Recebeu o Prêmio Estatal da URSS em 1975. Foi eleito fellow da American Mathematical Society em 2012. da American Mathematical Society em 2012.
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Sergei Aleksandrovich Stepanov (Сергей Але … 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. 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.the American Mathematical Society in 2012.
, Sergei Alexandrowitsch Stepanow (russisch … Sergei Alexandrowitsch Stepanow (russisch Сергей Александрович Степанов; im Englischen häufig als S. A. Stepanov zitiert; * 24. Februar 1941) ist ein russischer Mathematiker, der sich mit Zahlentheorie beschäftigt. Er ist am Institut für Probleme der Informationsübertragung der Russischen Akademie der Wissenschaften. Er erhielt 1975 den Staatspreis der UdSSR. Er ist Fellow der American Mathematical Society. Fellow der American Mathematical Society.
, Sergei Aleksandrovich Stepanov (em russo: … Sergei Aleksandrovich Stepanov (em russo: Сергей Александрович Степанов; 24 de fevereiro de 1941) é um matemático russo, especialista em teoria dos números. É conhecido por sua prova de 1969 da hipótese de Riemann para funções zeta de curvas hiperelípticas sobre campos finitos usando métodos elementares, provada a primeira vez por André Weil em 1940–1941 usando métodos sofisticados em geometria algébrica. Foi palestrante convidado do Congresso Internacional de Matemáticos em Vancouver (1974). Recebeu o Prêmio Estatal da URSS em 1975. Foi eleito fellow da American Mathematical Society em 2012. da American Mathematical Society em 2012.
, Сергей Александрович Степанов (род. 24 фев … Сергей Александрович Степанов (род. 24 февраля 1941, Москва) — советский и российский математик, работающий над теорией чисел, лауреат Государственной премии СССР (1975), доктор физико-математических наук (1977), доцент (1991), профессор кафедры фундаментальной и прикладной математики Института информационных наук и технологий безопасности РГГУ, член Американского математического общества (с 2012). В работе 1969 года он использовал элементарные методы гипотезы Римана для дзета-функций гиперэлиптических кривых над конечными полями, ранее доказанных Андре Вейлем в 1940—1941 годах.доказанных Андре Вейлем в 1940—1941 годах.
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Степанов, Сергей Александрович (математик)
, Sergei Alexandrowitsch Stepanow
, Sergei Aleksandrovich Stepanov
, Sergei Stepanov
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