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A Discrete Analog of the Poisson Summation Formula

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Abstract

The first part of this paper is concerned with the proof of a discrete analog of the Poisson summation formula. In the second part, we describe an elementary proof of a functional equation for the function \(\theta (t)\), based on the summation formula derived in the paper.

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REFERENCES

  1. N. Koblits, Introduction to Elliptic Curves and Modular Forms [in Russian], IO NMFI, Novokuznetsk, 2000.

    Google Scholar 

  2. A. A. Karatsuba, Foundations of the Analytic Theory of Numbers [in Russian], Nauka, Moscow, 1983.

    Google Scholar 

  3. G. I. Arkhipov, V. A. Sadovnichii, and V. N. Chubarikov, Lectures on the Calculus [in Russian], Vysshaya Shkola, Moscow, 1999.

    Google Scholar 

  4. E. Titchmarsh, Introduction to the Theory of Fourier Integrals, Second edition, Oxford Univ. Press, Oxford, 1948.

    Google Scholar 

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    A. V. Ustinov

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  1. A. V. Ustinov
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Ustinov, A.V. A Discrete Analog of the Poisson Summation Formula. Mathematical Notes 73, 97–102 (2003). https://doi.org/10.1023/A:1022178118555

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  • DOI: https://doi.org/10.1023/A:1022178118555

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