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Tr. Mat. Inst. Steklova, 2009, Volume 264, Pages 81–93 (Mi tm796)  

This article is cited in 1 scientific paper (total in 1 paper)

Euler and Number Theory

A. A. Karatsuba


Abstract: We give an account of the most important results obtained by Euler in number theory, including the main contribution of Euler, application of analysis to problems of number theory. We note an important role played in modern number theory by the function that was introduced by Euler and is called the Riemann zeta function. We also discuss Euler's works in other fields of science such as function theory and theory of music, as well as the relationship between music and mathematics.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2009, 264, 74–86

Bibliographic databases:

Document Type: Article
UDC: 512.7
Received in July 2008

Citation: A. A. Karatsuba, “Euler and Number Theory”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 81–93; Proc. Steklov Inst. Math., 264 (2009), 74–86

Citation in format AMSBIB
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\by A.~A.~Karatsuba
\paper Euler and Number Theory
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Tr. Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 81--93
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2009
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\pages 74--86
\crossref{https://doi.org/10.1134/S0081543809010106}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65749102421}


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    This publication is cited in the following articles:
    1. Petrie B.J., “Leonhard Euler's Use and Understanding of Mathematical Transcendence”, Hist. Math., 39:3 (2012), 280–291  crossref  mathscinet  zmath  isi  scopus
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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