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Applications of p-adic interpolation to exponential polynomials and sums of powers

Published online by Cambridge University Press:  09 April 2009

Vichian Laohakosol  and
Jane Pitman
Vichian Laohakosol
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, U.S.A.
Jane Pitman
Affiliation:
Department of Mathematics, University of Adelaide, Adelaide, South Australia 5001, Australia
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Abstract

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An approach to p-adic interpolation via divided differences is used to give alternative proofs of results of van der Poorten on p-adic exponential polynomials and to derive a p-adic analogue of Turan's first main theorem on sums of powers.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 4 , April 1981 , pp. 419 - 437
Copyright
Copyright © Australian Mathematical Society 1981

References

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