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The Turán-Kubilius inequality for additive arithmetical semigroups

✍ Scribed by S. Wehmeier

Book ID
106451625
Publisher
Springer
Year
2006
Tongue
English
Weight
104 KB
Volume
46
Category
Article
ISSN
0363-1672

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A Turán–Kubilius Inequality for Integer
A Turán–Kubilius Inequality for Integer Matrices
✍ Gautami Bhowmik; Olivier Ramaré 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 254 KB

We prove a general Tura n Kubilius inequality and use it to derive that the number {(S) of divisors of an integer r\_r matrix S verifies {(S)=(Log |S|) Log 2+o(1) for all but o(X) matrices of determinant X. This is in sharp contrast with the average order which is Ä |S| ; r &1 (Log |S|) # r for ; r