By Sergei Konyagin,Igor Shparlinski

The topic of this ebook is the learn of the distribution of integer powers modulo a primary quantity. It presents quite a few new, occasionally rather unforeseen, hyperlinks among quantity thought and desktop technology in addition to to different parts of arithmetic. attainable purposes contain (but are usually not constrained to) complexity thought, random quantity iteration, cryptography, and coding thought. the most procedure mentioned relies on bounds of exponential sums. hence, the e-book includes many estimates of such sums, together with new estimates of classical Gaussian sums. It additionally comprises many open questions and suggestions for extra 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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