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The asymptotic density of supersingular Fermat varieties

โœ Scribed by W. Schwarz; W. C. Waterhouse


Book ID
112496109
Publisher
Springer
Year
1984
Tongue
English
Weight
111 KB
Volume
43
Category
Article
ISSN
0003-889X

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Asymptotics of Multivariate Sequences: I
โœ Robin Pemantle; Mark C. Wilson ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

Given a multivariate generating function F(z 1 , ..., z d )=; a r1, ..., rd z r1 1 โ€ข โ€ข โ€ข z rd d , we determine asymptotics for the coefficients. Our approach is to use Cauchy's integral formula near singular points of F, resulting in a tractable oscillating integral. This paper treats the case where