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On Measures of Polynomials in Several Variables: Corrigendum

Published online by Cambridge University Press:  17 April 2009

Gerald Myerson  and
C.J. Smyth
Gerald Myerson
Affiliation:
Department of Mathematics, State University of New York, Buffalo, New York 14214, USA;
C.J. Smyth
Affiliation:
Department of Mathematics, James Cook University of North Queensland, Townsville, Queensland 4811, Australia.
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In [2], it was asserted in Theorem 3 that the measure M(x0 + … + xx) is asymptotically , where c was an explicit constant. The value of c given was incorrect, and should be e-½γ where γ is Euler's constant. This was pointed out by the first author. In fact

where we have tried to make amends by improving the error term.

Type
Corrigendum
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 2 , October 1982 , pp. 317 - 319
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Bhattacharya, R.N. and Rao, R. Ranga, Normal approximations and asymptotic expansions (John Wiley & Sons, New York, London, Sydney, 1976).Google Scholar
[2]Smyth, C.J., “Measures of polynomials in several variables”, Bull. Austral. Math. Soc. 23 (1981), 49–63.CrossRefGoogle Scholar