𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Turán-Kubilius inequality with multiplicative weights

✍ Scribed by A. Biró; T. Szamuely


Publisher
Akadmiai Kiad
Year
1996
Tongue
English
Weight
654 KB
Volume
70
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Turán–Kubilius Inequality for Integer
✍ 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

A weighted Turán sieve method
✍ Yu-Ru Liu; M. Ram Murty 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 185 KB

We develop a weighted Turán sieve method and applied it to study the number of distinct prime divisors of f (p) where p is a prime and f (x) a polynomial with integer coefficients.