Metric Number Theory

The project aims to make significant advances on the field of Diophantine Approximation. Diophantine Approximation is the branch of Number Theory that studies how well irrational numbers (those with infinitely many digits in their decimal expansion) can be approximated by fractions. The most well-known example of an irrational number is without doubt p, which is the length of a circle with radius equal to one unit of measurement. The relation p~3,14 that we are all familiar with already from elementary school simply means that p can be approximated well by the fraction 314/100. The modern approach to Diophantine approximation involves studying irrationals randomly, instead of focusing on fixed examples, and understanding the quality of approximation by fractions.

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