𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the distribution of Beurling integers

✍ Scribed by A.S. Fainleib


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
261 KB
Volume
111
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis


Asymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev upper bound and Mertens formula for Beurling primes. The proof based on some properties of corresponding zeta-function on the right of its abscissa of convergence.


πŸ“œ SIMILAR VOLUMES


On the Distribution of Squares of Hyperc
✍ G. Kuba πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 185 KB

Let A be a real quadratic algebra of dimension s 3 which satisfies the basic relations of hypercomplex systems. For a large positive parameter X, let A(X) denote the number of squares : 2 with : # A, : integral, and all s components of : 2 lying in the interval [&X, X]. With particular regard to Cay

On the angular distribution of Gaussian
✍ P. ErdΓΆs; R.R. Hall πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 319 KB

We study the distribution of lattice points a + ib on the fixed circle a 2 + b 2 = n. Our results apply p.p. to the representable integers n, and we supply bounds for the discrepancy of the distribution, and for the maximum and minimum of the angles between consecutive points. As a corollary, we are