most citedExplicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev Density Theorem

1 citations · 1 across the 1 of their papers we have counts for

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4 papers

math.NT2016★ 1 cited

Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev Density Theorem

Korneel Debaene

We prove a bound on the number of primes with a given splitting behaviour in a given field extension. This bound generalises the Brun-Titchmarsh bound on the number of primes in an…

math.CO2016

Dimensions of the irreducible representations of the symmetric and alternating group

Korneel Debaene

We establish the existence of an irreducible representation of whose dimension does not occur as the dimension of an irreducible representation of , and vice versa. This…

math.NT2013

Asymptotic expansions, -values and a new Quantum Modular Form

Edgar Costa, Korneel Debaene, João Guerreiro

In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the "strange" function of Kontsevich. Here we produce a new example of a quantu…

math.NT2013

The first factor of the class number of the -th cyclotomic field

Korneel Debaene

Kummer's conjecture states that the relative class number of the -th cyclotomic field follows a strict asymptotic law. Granville has shown it unlikely to be true -- it cannot be…