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Chen’s inversion formula

B. D. Hughes, N. E. Frankel, and B. W. Ninham
Phys. Rev. A 42, 3643(R) – Published 1 September 1990
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Abstract

Nan-xian Chen [Phys. Rev. Lett. 64, 1193 (1990)] has generalized a formula of classical algebraic number theory to continuous variables and noted some useful consequences of the generalization. We present an alternative view of this analysis, based on the Mellin transformation and Riemann’s ζ function.

  • Received 29 May 1990

DOI:https://doi.org/10.1103/PhysRevA.42.3643

©1990 American Physical Society

Authors & Affiliations

B. D. Hughes

  • Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia

N. E. Frankel

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

B. W. Ninham

  • Department of Applied Mathematics, Research School of Physical Sciences, Australian National University, Canberra, Australian Capital Territory 2601, Australia

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Vol. 42, Iss. 6 — September 1990

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