The aim of this note is a proof of a recent conjecture of Kellner concerning the number of distinct prime factors of a particular product of primes. The proof uses profound results from analytic number theory, such as Walfisz's estimate of an exponential sum over primes.
Analytic Number Theory and Algebraic Asymptotic Analysis
Disproof of a conjecture by Rademacher on partial fractions
Probabilistic interpretation of the Selberg--Delange Method in analytic number theory
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