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The stationary phase method for a double integral with arbitrarily situated stationary point

✍ Scribed by V.A. Karatygin; V.A. Rozov

Publisher
Elsevier Science
Year
1972
Weight
994 KB
Volume
12
Category
Article
ISSN
0041-5553

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Let f Γ°xÞ be a polynomial with p-adic coefficients, and define where w is a character of Γ°Z=p m ZÞ Γ‚ : For example, f Γ°xÞ ΒΌ x leads to the Gauss sum of w: An explicit formula for SΓ°f ; w; Z=p m ZÞ is given if f 0 Γ°xÞ has distinct roots in Z=p m Z and m52; or if f 0 Γ°xÞ has distinct roots p-adically