We study the irreducibility of the Dirichlet polynomial when is the alternating group on elements with prime and we prove that is irreducible for infinitely many choiches of .
Si studia l'irriducibilità del polinomio di Dirichlet nel caso in cui sia il gruppo alterno di grado , con primo, e si prova che è irriducibile per infinite scelte di .
@article{BUMI_2007_8_10B_3_581_0, author = {Marilena Massa}, title = {The Probabilistic Zeta Function of the Alternating Group $\operatorname{Alt} (p + 1)$}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {10-A}, year = {2007}, pages = {581-591}, zbl = {1167.20317}, mrnumber = {2351530}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_581_0} }
Massa, Marilena. The Probabilistic Zeta Function of the Alternating Group $\operatorname{Alt} (p + 1)$. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 581-591. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_581_0/
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