Browsing Department of Mathematics (MU) by Author "Conflitti, Alessandro"
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Character Sums over Integers with Restricted gary Digits
Banks, William David, 1964; Conflitti, Alessandro; Shparlinski, Igor E. (2002)We establish upper bounds for multiplicative character sums and exponential sums over sets of integers that are described by various properties of their digits in a fixed base g ≥ 2. Our main tools are the Weil and ... 
Exponential Sums over Mersenne Numbers
Banks, William David, 1964; Conflitti, Alessandro; Friedlander, J. B. (John B.); Shparlinski, Igor E. (2004)We give estimates for exponential sums of the form Σn≤N Λ(n) exp(2πiagn/m), where m is a positive integer, a and g are integers relatively prime to m, and Λ is the von Mangoldt function. In particular, our results yield ... 
Number Theoretic Designs for Directed Regular Graphs of Small Diameter
Banks, William David, 1964; Conflitti, Alessandro; Shparlinski, Igor E. (Society for Industrial and Applied Mathematics, 2004)In 1989, F. R. K. Chung gave a construction for certain directed hregular graphs of small diameter. Her construction is based on finite fields, and the upper bound on the diameter of these graphs is derived from bounds ...