Character Sums with Exponential Functions and their - download pdf or read online

By Sergei Konyagin,Igor Shparlinski

The topic of this publication is the learn of the distribution of integer powers modulo a major quantity. It presents various new, occasionally really unforeseen, hyperlinks among quantity concept and computing device technology in addition to to different components of arithmetic. attainable purposes comprise (but are usually not restricted to) complexity concept, random quantity iteration, cryptography, and coding concept. the most procedure mentioned relies on bounds of exponential sums. therefore, the publication comprises many estimates of such sums, together with new estimates of classical Gaussian sums. It additionally comprises many open questions and suggestions for additional research.

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Character Sums with Exponential Functions and their Applications (Cambridge Tracts in Mathematics) by Sergei Konyagin,Igor Shparlinski

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