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The Turán-Kubilius Inequality for Integers Free of Large Prime Factors

✍ Scribed by T.Z. Xuan

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
122 KB
Volume
43
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

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