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New global distributions in number theory and their applications

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Abstract

Consideration of an example corresponding to the partition of integers results in revision of certain physical concepts. A substantial term is added to the Bose–Einstein distribution. The notion of “fractional dimension” is introduced. Some effects considered earlier as pure quantum effects are explained from the classical standpoint. A distribution depending on three fixed points is given.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Vorob’evy Gory, 119234, Moscow, Russia

    V. P. Maslov

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  1. V. P. Maslov
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Correspondence to V. P. Maslov.

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To Stephen Smale on the occasion of his 80th birthday

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Maslov, V.P. New global distributions in number theory and their applications. J. Fixed Point Theory Appl. 8, 81–111 (2010). https://doi.org/10.1007/s11784-010-0030-z

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  • DOI: https://doi.org/10.1007/s11784-010-0030-z

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