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Phys. Rev. A 42, 3643–3645 (1990)

Chen’s inversion formula

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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

Received 29 May 1990; published in the issue dated September 1990

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.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.42.3643
DOI:
10.1103/PhysRevA.42.3643
PACS:
02.30.+g
 
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