Simple continued fraction (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Simple continued fraction" in English language version.

Last modified: 02:33:37, 27 August 2026 (UTC)

Ref.Un. Ref.Website

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77doi.org

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33web.archive.org

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33semanticscholar.org

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32wolfram.com

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22jstor.org

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11mit.edu

476^th place

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11ams.org

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11books.google.com

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11plover.com

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11uow.edu.au

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11theoremoftheday.org

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11archive.org

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11maa.org

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11loc.gov

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11pacific.edu

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ams.org (Global: 434^th place; English: 249^th place)

Swanson, Ellen (1999) [1971]. Mathematics into Type (PDF). Updated by O'Sean, Arlene; Schleyer, Antoinette (Updated ed.). American Mathematical Society. 2.4.1c "Continued fractions", p. 18.

archive.org (Global: 6^th place; English: 6^th place)

Niven, Zuckerman & Montgomery 1991. Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L. (1991). An introduction to the theory of numbers (Fifth ed.). New York: Wiley. ISBN 0-471-62546-9.

books.google.com (Global: 3^rd place; English: 3^rd place)

Shoemake 1995. Shoemake, Ken (1995). "I.4: Rational Approximation". In Paeth, Alan W. (ed.). Graphics Gems V (IBM Version). San Diego, California: Academic Press. pp. 25–31. ISBN 0-12-543455-3.

doi.org (Global: 2^nd place; English: 2^nd place)

Cajori, Florian (1925). "Leibniz, the Master-Builder of Mathematical Notations". Isis. 7 (3): 412–429. doi:10.1086/358328.
Thill 2008. Thill, M. (2008). "A more precise rounding algorithm for rational numbers". Computing. 82 (2–3): 189–198. doi:10.1007/s00607-008-0006-7. S2CID 45166490.
Murakami, Hiroshi (February 2015). "Calculation of rational numbers in an interval whose denominator is the smallest by using FP interval arithmetic". ACM Communications in Computer Algebra. 48 (3/4): 134–136. doi:10.1145/2733693.2733711.
Barbolosi, Dominique; Jager, Hendrik (1994). "On a theorem of Legendre in the theory of continued fractions". Journal de Théorie des Nombres de Bordeaux. 6 (1): 81–94. doi:10.5802/jtnb.106. JSTOR 26273940.
Wiener, Michael J. (1990). "Cryptanalysis of short RSA secret exponents". IEEE Transactions on Information Theory. 36 (3): 553–558. doi:10.1109/18.54902.
Bunder & Tonien 2017. Bunder, Martin W.; Tonien, Joseph (2017). "Closed form expressions for two harmonic continued fractions". The Mathematical Gazette. 101 (552): 439–448. doi:10.1017/mag.2017.125. S2CID 125489697.
Scheinerman, Pickett & Coleman 2008. Scheinerman, Ed; Pickett, Thomas J.; Coleman, Ann (2008). "Another Continued Fraction for π". The American Mathematical Monthly. 115 (10): 930–933. doi:10.1080/00029890.2008.11920610. JSTOR 27642639. S2CID 11914017.

inwap.com (Global: low place; English: low place)

"HAKMEM -- CONTINUED FRACTIONS -- DRAFT, NOT YET PROOFED". www.inwap.com. Retrieved 2025-07-31.

jstor.org (Global: 23^rd place; English: 15^th place)

Barbolosi, Dominique; Jager, Hendrik (1994). "On a theorem of Legendre in the theory of continued fractions". Journal de Théorie des Nombres de Bordeaux. 6 (1): 81–94. doi:10.5802/jtnb.106. JSTOR 26273940.
Scheinerman, Pickett & Coleman 2008. Scheinerman, Ed; Pickett, Thomas J.; Coleman, Ann (2008). "Another Continued Fraction for π". The American Mathematical Monthly. 115 (10): 930–933. doi:10.1080/00029890.2008.11920610. JSTOR 27642639. S2CID 11914017.

loc.gov (Global: 63^rd place; English: 47^th place)

lccn.loc.gov

Sandifer 2006. Sandifer, C. Edward (2006). "Chapter 32: Who proved e is irrational?". How Euler Did It (PDF). Mathematical Association of America. pp. 185–190. ISBN 978-0-88385-563-8. LCCN 2007927658. Archived (PDF) from the original on 2014-03-19.

maa.org (Global: 4,358^th place; English: 2,907^th place)

eulerarchive.maa.org

Sandifer 2006. Sandifer, C. Edward (2006). "Chapter 32: Who proved e is irrational?". How Euler Did It (PDF). Mathematical Association of America. pp. 185–190. ISBN 978-0-88385-563-8. LCCN 2007927658. Archived (PDF) from the original on 2014-03-19.

mit.edu (Global: 476^th place; English: 340^th place)

www-math.mit.edu

Collins 2001. Collins, Darren C. (2001). "Continued Fractions" (PDF). MIT Undergraduate Journal of Mathematics. Archived from the original (PDF) on 2001-11-20.

pacific.edu (Global: low place; English: low place)

scholarlycommons.pacific.edu

Euler 1748. Euler, Leonhard (1748). "E101 – Introductio in analysin infinitorum, volume 1". The Euler Archive. Retrieved 26 April 2022.

plover.com (Global: low place; English: low place)

perl.plover.com

Gosper, R. W. (1977). "Appendix 2: Continued Fraction Arithmetic". See "simplest intervening rational", pp. 29–31.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Thill 2008. Thill, M. (2008). "A more precise rounding algorithm for rational numbers". Computing. 82 (2–3): 189–198. doi:10.1007/s00607-008-0006-7. S2CID 45166490.
Bunder & Tonien 2017. Bunder, Martin W.; Tonien, Joseph (2017). "Closed form expressions for two harmonic continued fractions". The Mathematical Gazette. 101 (552): 439–448. doi:10.1017/mag.2017.125. S2CID 125489697.
Scheinerman, Pickett & Coleman 2008. Scheinerman, Ed; Pickett, Thomas J.; Coleman, Ann (2008). "Another Continued Fraction for π". The American Mathematical Monthly. 115 (10): 930–933. doi:10.1080/00029890.2008.11920610. JSTOR 27642639. S2CID 11914017.

theoremoftheday.org (Global: low place; English: low place)

Foster 2015. Foster, Tony (22 June 2015). "Theorem of the Day: Theorem no. 203" (PDF). Robin Whitty. Archived (PDF) from the original on 2013-12-11. Retrieved 26 April 2022.

uow.edu.au (Global: 7,259^th place; English: 4,435^th place)

ro.uow.edu.au

Bunder & Tonien 2017. Bunder, Martin W.; Tonien, Joseph (2017). "Closed form expressions for two harmonic continued fractions". The Mathematical Gazette. 101 (552): 439–448. doi:10.1017/mag.2017.125. S2CID 125489697.

web.archive.org (Global: 1^st place; English: 1^st place)

Collins 2001. Collins, Darren C. (2001). "Continued Fractions" (PDF). MIT Undergraduate Journal of Mathematics. Archived from the original (PDF) on 2001-11-20.
Foster 2015. Foster, Tony (22 June 2015). "Theorem of the Day: Theorem no. 203" (PDF). Robin Whitty. Archived (PDF) from the original on 2013-12-11. Retrieved 26 April 2022.
Sandifer 2006. Sandifer, C. Edward (2006). "Chapter 32: Who proved e is irrational?". How Euler Did It (PDF). Mathematical Association of America. pp. 185–190. ISBN 978-0-88385-563-8. LCCN 2007927658. Archived (PDF) from the original on 2014-03-19.

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

mathworld.wolfram.com

Weisstein 2022. Weisstein, Eric Wolfgang (2022). MathWorld (ed.). "Periodic Continued Fraction". Retrieved 26 April 2022.

functions.wolfram.com

"Modified Bessel function of the first kind: Identities (formula 03.02.17.0001)". functions.wolfram.com. Retrieved 2025-07-31.

Simple continued fraction (English Wikipedia)

ams.org (Global: 434th place; English: 249th place)

archive.org (Global: 6th place; English: 6th place)

books.google.com (Global: 3rd place; English: 3rd place)

doi.org (Global: 2nd place; English: 2nd place)

inwap.com (Global: low place; English: low place)

jstor.org (Global: 23rd place; English: 15th place)

loc.gov (Global: 63rd place; English: 47th place)

lccn.loc.gov

maa.org (Global: 4,358th place; English: 2,907th place)

eulerarchive.maa.org

mit.edu (Global: 476th place; English: 340th place)

www-math.mit.edu

pacific.edu (Global: low place; English: low place)

scholarlycommons.pacific.edu

plover.com (Global: low place; English: low place)

perl.plover.com

semanticscholar.org (Global: 15th place; English: 8th place)

api.semanticscholar.org

theoremoftheday.org (Global: low place; English: low place)

uow.edu.au (Global: 7,259th place; English: 4,435th place)

ro.uow.edu.au

web.archive.org (Global: 1st place; English: 1st place)

wolfram.com (Global: 1,091st place; English: 1,169th place)

mathworld.wolfram.com

functions.wolfram.com

ams.org (Global: 434^th place; English: 249^th place)

archive.org (Global: 6^th place; English: 6^th place)

books.google.com (Global: 3^rd place; English: 3^rd place)

doi.org (Global: 2^nd place; English: 2^nd place)

jstor.org (Global: 23^rd place; English: 15^th place)

loc.gov (Global: 63^rd place; English: 47^th place)

maa.org (Global: 4,358^th place; English: 2,907^th place)

mit.edu (Global: 476^th place; English: 340^th place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

uow.edu.au (Global: 7,259^th place; English: 4,435^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolfram.com (Global: 1,091^st place; English: 1,169^th place)