CORDIS Project
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This project explores exponential sums in number theory and their applications in computer science and cryptography. It aims to improve existing methods for estimating these sums, which are crucial for understanding randomness in number sequences.
Title:
Exponential Sums, Translation Invariance, and Applications.
Short Summary:
Exponential sums are fundamental throughout (analytic) number theory, and are key to the robustness of applications in theoretical computer science, cryptography, and so on.
They are the primary tool for testing equidistribution (apparent “randomness”) of number theoretic sequences.
For a century, bounds for such sums of degree 3 or more have fallen far short of those conjectured to hold.The landscape for exponent…
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