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arxiv: 1706.04331 · v2 · pith:YMKHAB37new · submitted 2017-06-14 · 🧮 math.NT

Averages of arithmetic functions over principal ideals

classification 🧮 math.NT
keywords idealsfunctionsprincipalarithmeticassociatedaverageaveragesbinary
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For a general class of non-negative functions defined on integral ideals of number fields, upper bounds are established for their average over the values of certain principal ideals that are associated to irreducible binary forms with integer coefficients.

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