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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 81–93 (Mi tm796)  
This article is cited in 2 scientific papers (total in 2 papers)

Euler and Number Theory

A. A. Karatsuba
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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.
Received in July 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 74–86
DOI: https://doi.org/10.1134/S0081543809010106
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
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, Trudy 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 Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 81--93
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 264
\pages 74--86
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    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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