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Physical mathematics in number theory

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Functional Analysis and Other Mathematics

Abstract

The paper is about the problem of carefully estimating the bounds, which is sometimes missing in the theoretical physics. Possible consequences of the missing of the bounds is discussed on example of the Riemann zeta function. The text of the paper is based on the drafts of A.A. Karatsuba’s lecture “Physical mathematics in number theory”, devoted to the 85th birthday of academician Vasilii Sergeevich Vladimirov.

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Authors and Affiliations

  1. Dorodnicyn Computing Center of RAS, Vavilova str., 40, Moscow, 119333, Russia

    Ekatherina A. Karatsuba

Authors
  1. Anatolii A. Karatsuba
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  2. Ekatherina A. Karatsuba
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Corresponding author

Correspondence to Ekatherina A. Karatsuba.

Additional information

Anatolii A. Karatsuba (1937–2008)

Steklov Institute of Mathematics of RAS, Gubkina str., 8, Moscow, 119991, Russia.

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Karatsuba, A.A., Karatsuba, E.A. Physical mathematics in number theory. Funct. Anal. Other Math. 3, 113–125 (2011). https://doi.org/10.1007/s11853-010-0044-5

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  • DOI: https://doi.org/10.1007/s11853-010-0044-5

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