@article{06cf8784b0dd4be888ec87de01edc366,

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

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

keywords = "Nearest integer continued fraction, Nearest square continued fraction, Period-length, Reduced quadratic irrational",

author = "Matthews, {Keith R.} and Robertson, {John P.}",

year = "2011",

doi = "10.3336/gm.46.2.01",

language = "English",

volume = "46",

pages = "269--282",

journal = "Glasnik Matematicki",

issn = "0017-095X",

publisher = "Croatian Mathematical Society",

number = "2",

}