Download e-book for iPad: Character Sums with Exponential Functions and their by Sergei Konyagin,Igor Shparlinski

By Sergei Konyagin,Igor Shparlinski

The subject of this booklet is the research of the distribution of integer powers modulo a major quantity. It offers a number of new, occasionally rather unforeseen, hyperlinks among quantity thought and machine technological know-how in addition to to different components of arithmetic. attainable purposes comprise (but will not be constrained to) complexity conception, random quantity new release, cryptography, and coding thought. the most process 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 includes many open questions and recommendations 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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