Character Sums with Exponential Functions and their by Sergei Konyagin,Igor Shparlinski PDF

By Sergei Konyagin,Igor Shparlinski

The topic of this booklet is the examine of the distribution of integer powers modulo a main quantity. It presents a variety of new, occasionally relatively unforeseen, hyperlinks among quantity thought and computing device technology in addition to to different components of arithmetic. attainable functions contain (but will not be constrained to) complexity thought, random quantity new release, cryptography, and coding idea. the most procedure mentioned is predicated 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 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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