The Stationary-Phase Method for Exponent
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Benji Fisher
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Article
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2002
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Elsevier Science
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English
β 250 KB
Let f Γ°xΓ be a polynomial with p-adic coefficients, and define where w is a character of Γ°Z=p m ZΓ Γ : For example, f Γ°xΓ ΒΌ x leads to the Gauss sum of w: An explicit formula for SΓ°f ; w; Z=p m ZΓ is given if f 0 Γ°xΓ has distinct roots in Z=p m Z and m52; or if f 0 Γ°xΓ has distinct roots p-adically