On the distribution of M-tuples of B-numbers
| dc.creator | Nowak, W. G. | |
| dc.date | 2004-10-01 | |
| dc.date.accessioned | 2026-07-07T06:26:52Z | |
| dc.date.available | 2026-07-07T06:26:52Z | |
| dc.description | In the classical sense, the set B consists of all integers which can be written as a sum of two perfect squares. In other words, these are the values attained by norms of integral ideals over the Gaussian field Q(i). G.J. Rieger (1965) and T. Cochrane / R.E. Dressler (1987) established bounds for the number of pairs (n,n+h), resp., triples (n,n+1,n+2) of B-numbers up to a large real parameter x. The present article generalizes these investigations into two directions: The result obtained deals with arbitrary M-tuples of arithmetic progressions of positive integers, excluding the trivial case that one of them is a constant multiple of some other one. Furthermore, the estimate applies to the case of an arbitrary normal extension K of the rational field instead of Q(i). | |
| dc.identifier | https://arxiv.org/abs/math/0410010 | |
| dc.identifier | http://arxiv.org/abs/math/0410010 | |
| dc.identifier | Publ. Inst. Math. (Belgrade), nouv.ser., 77 (2006), 71-78 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97247 | |
| dc.subject | Number Theory | |
| dc.subject | 11P05; 11N35 | |
| dc.title | On the distribution of M-tuples of B-numbers | |
| dc.type | text |