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Generalizations of Alladis formula for arithmetical semigroups

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 نشر من قبل Ning Ma
 تاريخ النشر 2021
  مجال البحث
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In this article, we prove that a general version of Alladis formula with Dirichlet convolution holds for arithmetical semigroups satisfying Axiom $A$ or Axiom $A^{#}$. As applications, we apply our main results to certain semigroups coming from algebraic number theory, arithmetical geometry and graph theory, particularly generalizing the results of Wang 2021, Kural et al. 2020 and Duan et al. 2020.



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