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Multiplicative character sums with the sum ofg-ary Digits Function

✍ Scribed by William D. Banks; Igor E. Shparlinski


Publisher
Springer US
Year
2006
Tongue
English
Weight
239 KB
Volume
11
Category
Article
ISSN
1382-4090

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The Stationary-Phase Method for Exponent
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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