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On Measures of Polynomials in Several Variables: Corrigendum

Published online by Cambridge University Press:  17 April 2009

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
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), 4963.CrossRefGoogle Scholar