Nearest-Integer Continued Fractions in DÃkkaraõa

PAI, VENKETESWARA R.; Sriram, M. S.

DR Home
→
PUBLICATIONS & PATENTS
→
JOURNAL ARTICLES
→
View Item

dc.contributor.author	PAI, VENKETESWARA R.	en_US
dc.contributor.author	Sriram, M. S.	en_US
dc.date.accessioned	2021-09-01T05:07:45Z
dc.date.available	2021-09-01T05:07:45Z
dc.date.issued	2019-12	en_US
dc.identifier.citation	Ganita Bharati: Bulletin of the Indian Society for History of Mathematics, 41(1-2).	en_US
dc.identifier.issn	0970-0307	en_US
dc.identifier.uri	https://doi.org/10.32381/GB.2019.41.1-2.3	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6222
dc.description.abstract	The Karaõa texts of Indian astronomy give simplified expressions for the mean rates of motion of planets. The Kerala text Karaõapaddhati (c. 1532-1566 CE) expresses these rates which involve ratios of large numerators or multipliers (guõakras) and large demominators or divisors (hÀrakas), as ratios of smaller numbers using essentially the method of simple continued fraction expansion.A modified version of this method is described in a slightly later Malayalam text named DÃkkaraõa (c. 1608 CE), also. A very interesting feature of the DÃkkaraõa algorithm is that a nearest-integer continued fraction expansion with the minimal length is implicit in it. We discuss this algorithm in this paper.	en_US
dc.language.iso	en	en_US
dc.publisher	Prints Publications Pvt Ltd	en_US
dc.subject	Continued fractions	en_US
dc.subject	DÃkkaraõa	en_US
dc.subject	Karaõapaddhati	en_US
dc.subject	Nearest-Integer	en_US
dc.subject	2021-AUG-WEEK5	en_US
dc.subject	TOC-AUG-2021	en_US
dc.subject	2019	en_US
dc.title	Nearest-Integer Continued Fractions in DÃkkaraõa	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Humanities and Social Sciences	en_US
dc.identifier.sourcetitle	Ganita Bharati: Bulletin of the Indian Society for History of Mathematics	en_US
dc.publication.originofpublisher	Indian	en_US