Project Details
Description
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.
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.
| Alternative title | Exponential sums, translation invariance, and applications |
|---|---|
| Acronym | ESTIA |
| Status | Finished |
| Effective start/end date | 1/09/16 → 31/08/21 |
| Links | https://cordis.europa.eu/project/rcn/202662_en.html |
Fingerprint
Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.