CORDIS Project
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This project investigates factorization statistics in number theory, particularly focusing on function fields. It aims to establish bounds on cohomology groups of sheaves to enhance understanding of analytic number theory problems.
An archetypal problem in multiplicative number theory is to determine the factorization statistics in a given set, such as the set of values of an integral polynomial, or of the function raising an integer to a non-integral power and taking the integral part, the set of integers n for which there exists an integer 0 < a < n/10 such that n divides a^3-2, or the set of discriminants of cubic extensions of a number field.
One is particularly interested in estimating the number of primes in such set…
WEIZMANN INSTITUTE OF SCIENCE
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