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Zeta-function derivation of Euler-MacLaurin sum rules

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Abstract

The Euler-MacLaurin summation formula and other sum rules of the same type are derived by the ζ-function method for infinite series.

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References

  1. Whittaker, AE. T. and Watson, AG. N.,A Course in Modern Analysis, 4th ed., Cambridge, U.P., London, 1962.

    Google Scholar 

  2. Abramowitz, AM. and Stegun, AI.,Handbook of Mathematical Functions, Dover, New York, 1970.

    Google Scholar 

  3. Actor, AA.,Nucl. Phys. B265 (FS15), 689 (1986).

    Google Scholar 

  4. Weldon, AM.,Nucl. Phys. B270 (FS16), 79 (1986).

    Google Scholar 

  5. Actor, A., ‘More on Zeta-Function Regularization of High-Temperature Expansions’, Penn State preprint, July 1986.

  6. Morse, AP. H. and Feshbach, AH.,Methods of Theoretical Physics, Vol. 1, McGraw-Hill, New York, 1953.

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Authors and Affiliations

  1. Department of Physics, The Pennsylvania State University, 18051, Fogelsville, PA, USA

    Alfred Actor

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  1. Alfred Actor
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Actor, A. Zeta-function derivation of Euler-MacLaurin sum rules. Lett Math Phys 13, 53–58 (1987). https://doi.org/10.1007/BF00570768

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  • DOI: https://doi.org/10.1007/BF00570768

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