The Beurling-Malliavin density, the Polya density and their connection

التفاصيل البيبلوغرافية
العنوان: The Beurling-Malliavin density, the Polya density and their connection
المؤلفون: Giuliano, Rita, Grekos, Georges, Misik, Ladislav
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, 11B25, 11B05
الوصف: In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities introduced for proving Proposition 1, a theorem is presented that clarifies the connection between the upper Polya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Polya density and we prove a result which seems to be new.
Comment: 20 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.18711
رقم الأكسشن: edsarx.2404.18711
قاعدة البيانات: arXiv