[1] Debaene, Korneel. Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev Density Theorem. Submitted. November 2016.

[2] Debaene, Korneel. Dimensions of the irreducible representations of the symmetric and alternating group. Electronic Journal of Combinatorics, 23 (2016), no. 3, Paper 3.49, 24 pp. The SAGE worksheet used for the proof can be consulted here

[3] Debaene, Korneel. The first factor of the class number of the $p$-th cyclotomic field - Archiv Der Mathematik , 102 (2014), no. 3, 237-244.

[4] Debaene, Korneel, Edgar Costa and João Guerreiro. Asymptotic expansions, $L$-values, and a new Quantum Modular Form - Ramanujan Journal, 35 (2014), no. 1, 141-148.



Debaene, Korneel. Analytic Estimates of Class Numbers and Relative Class Numbers, PhD Dissertation at Ghent University, May 2015.