ausblenden:
Schlagwörter:
Mathematics, Number Theory
Zusammenfassung:
We prove large sieve inequalities with multivariate polynomial moduli and
deduce a general Bombieri--Vinogradov type theorem for a class of polynomial
moduli having a sufficient number of variables compared to its degree. This
sharpens previous results of the first author in two aspects: the range of the
moduli as well as the class of polynomials which can be handled. As a
consequence, we deduce that there exist infinitely many primes $p$such that
$p-1$ has a prime divisor of size $\gg p^{2/5+o(1)}$ that is the value of an
incomplete norm form polynomial.
