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Article
\(N\) -Tupling Transformations and Invariant Definite Integrals
Functions on the real number line of the type \( \psi (x) =c+x - \frac{b}{x- \mu },\) ...
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Article
Doubling Transformations and Definite Integrals
A doubling transformation \(\psi (x) =x-\lambda - \frac{b}{x- \mu }\) ...
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Article
Distribution of Primitive λ-Roots of Composite Moduli II*
We improve estimates for the distribution of primitive λ-roots of a composite modulus q yielding an asymptotic formula for the number of primitive λ-roots in any interval I of length ∣I∣ ≫ q ...
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Article
Upper bounds on a two-term exponential sum*
We obtain upper bounds for mixed exponential sums of the type $$S(\chi ,f,p^m ) = \sum\nolimits_{x = 1}^{p^n } {\chi (x)e} _{p^m } (ax...