Izvorni znanstveni članak

https://doi.org/10.3336/gm.46.2.01

Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd

Keith R. Matthews orcid.org/0000-0002-9564-1702 ; Department of Mathematics, University of Queensland, Brisbane, Australia, 4072
John P. Robertson ; Actuarial and Economic Services Division, National Council on Compensation Insurance, Boca Raton, 33487, USA

Sažetak

We prove equality of the period-lengths of the nearest integer continued fraction and the nearest square continued fraction, for arbitrary real quadratic irrationals.

Ključne riječi

Nearest square continued fraction; nearest integer continued fraction; period-length; reduced quadratic irrational

Hrčak ID:

74259

URI

https://hrcak.srce.hr/74259

Datum izdavanja:

23.11.2011.

Posjeta: 991 *