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  1. Article

    \(N\) -Tupling Transformations and Invariant Definite Integrals

    Functions on the real number line of the type \( \psi (x) =c+x - \frac{b}{x- \mu },\) ...

    Todd Cochrane, Lee Goldstein in International Journal of Applied and Compu… (2015)

  2. Article

    Doubling Transformations and Definite Integrals

    A doubling transformation \(\psi (x) =x-\lambda - \frac{b}{x- \mu }\) ...

    Todd Cochrane, Lee Goldstein in International Journal of Applied and Compu… (2015)

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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 ...

    Zhiyong Zheng, Todd Cochrane in Chinese Annals of Mathematics, Series B (2006)

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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...

    Todd Cochrane, Zhiyong Zheng in Science in China Series A: Mathematics (2001)