W. R. Alford, A. Granville, and C. , There are Infinitely Many Carmichael Numbers, The Annals of Mathematics, vol.139, issue.3, pp.703-722, 1994.
DOI : 10.2307/2118576

N. Alon and M. Dubiner, A lattice point problem and additive number theory, Combinatorica, vol.3, issue.263, pp.301-309, 1995.
DOI : 10.1007/BF01299737

N. Alon, S. Friedland, and G. , Regular subgraphs of almost regular graphs, Journal of Combinatorial Theory, Series B, vol.37, issue.1, pp.79-91, 1984.
DOI : 10.1016/0095-8956(84)90047-9

K. Cziszter and M. , Domokos and A. Geroldinger The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics, in Multiplicative ideal theory and factorization theory, Math. Stat, vol.170, pp.43-95, 2016.

Y. Edel, C. Elsholtz, A. Geroldinger, and S. , ZERO-SUM PROBLEMS IN FINITE ABELIAN GROUPS AND AFFINE CAPS, The Quarterly Journal of Mathematics, vol.58, issue.2, pp.159-186, 2007.
DOI : 10.1093/qmath/ham003

Y. Edel, S. Ferret, I. Landjev, and L. , Storme The classification of the largest caps in AG, J. Combin. Theory Ser. A, vol.5, issue.991, pp.95-110, 2002.

J. S. Ellenberg and D. Gijswijt, On large subsets of \mathbb F_q^n with no three-term arithmetic progression, Annals of Mathematics, vol.185, issue.1, pp.339-343, 2017.
DOI : 10.4007/annals.2017.185.1.8

P. Van, Emde Boas A combinatorial problem on finite abelian groups II, Math. Centrum Amsterdam Afd. Zuivere Wisk, 1969.

P. Van-emde, D. Boas, and . Kruyswijk, A combinatorial problem on finite abelian groups III, Math. Centrum Amsterdam Afd. Zuivere Wisk, 1969.

W. Gao and A. , Zero-sum problems and coverings by proper cosets, European Journal of Combinatorics, vol.24, issue.5, pp.531-549, 2003.
DOI : 10.1016/S0195-6698(03)00033-7

W. Gao and A. , Zero-sum problems in finite abelian groups: A survey, Expositiones Mathematicae, vol.24, issue.4, pp.337-369, 2006.
DOI : 10.1016/j.exmath.2006.07.002

W. D. Gao, Q. H. Hou, W. A. Schmid, and R. Thangadurai, On short zero-sum subsequences II, Integers, vol.7, p.21, 2007.

A. Geroldinger, Additive group theory and non-unique factorizations, in Combinatorial number theory and additive group theory, Adv. Courses Math. CRM Barcelona, pp.1-86, 2009.
DOI : 10.1007/978-3-7643-8962-8

URL : https://link.springer.com/content/pdf/bfm%3A978-3-7643-8962-8%2F1.pdf

A. Geroldinger and F. , Halter-Koch Non-unique factorizations. Algebraic, combinatorial and analytic theory, Pure and Applied Mathematics, vol.278, 2006.

A. Geroldinger and M. , On the Davenport constant and on the structure of extremal zero-sum free sequences, Periodica Mathematica Hungarica, vol.129, issue.2, pp.213-225, 2012.
DOI : 10.1016/j.jnt.2009.05.004

A. Geroldinger and R. Schneider, On Davenport's constant, Journal of Combinatorial Theory, Series A, vol.61, issue.1, pp.147-152, 1992.
DOI : 10.1016/0097-3165(92)90061-X

H. Harborth-ein-extremalproblem-für-gitterpunkte and J. , Math, vol.262, pp.263-356, 1973.

J. Kaczorowski, On the distribution of irreducible algebraic integers, Monatshefte f??r Mathematik, vol.158, issue.1, pp.47-71, 2009.
DOI : 10.1007/978-3-662-07001-7

M. Mazur, A note on the growth of Davenport's constant, Manuscripta Mathematica, vol.1, issue.1, pp.229-235, 1992.
DOI : 10.1007/BF02567669

R. Meshulam, An uncertainty inequality and zero subsums, Discrete Math, pp.197-200, 1990.

W. , Narkiewicz Elementary and analytic theory of algebraic numbers, 2004.

J. E. , Olson A combinatorial problem on finite abelian groups I, J. Number Theory, vol.1, pp.8-10, 1969.

J. E. , Olson A combinatorial problem on finite abelian groups II, J. Number Theory, vol.1, pp.195-199, 1969.

G. Pellegrino, The maximal order of the spherical cap in S 4, Matematiche, vol.3, issue.25, pp.149-157, 1971.

, Des. Codes Cryptogr, pp.243-259, 2008.

K. Rogers, A combinatorial problem in Abelian groups, Mathematical Proceedings of the Cambridge Philosophical Society, vol.10, issue.03, pp.559-562, 1963.
DOI : 10.1017/S0305004100037221