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arxiv: 1605.08160 · v1 · pith:5ZYSMZNEnew · submitted 2016-05-26 · 🧮 math.CV

Finitely generated ideals in the Nevanlinna class

classification 🧮 math.CV
keywords classnevanlinnafinitelygeneratedidealsinftyalgebraanalogues
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In this paper we investigate finitely generated ideals in the Nevanlinna class. We prove analogues to some known results for the algebra of bounded analytic functions $H^{\infty}$. We also show that, in contrast to the $H^{\infty}$-case, the stable rank of the Nevanlinna class is strictly bigger than 1.

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