Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Marc Chamberland"'
Publikováno v:
Journal of Contemporary Brachytherapy, Vol 11, Iss 6, Pp 563-572 (2019)
Externí odkaz:
https://doaj.org/article/d65f0ddf3d1a41018f9cd1525a9f6640
Autor:
Jonathan M. Borwein, Marc Chamberland
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)
New simple nested-sum representations for powers of the arcsin function are given. This generalization of Ramanujan's work makes connections to finite binomial sums and polylogarithms.
Externí odkaz:
https://doaj.org/article/62e844aac5bf4cdc85623d46be8003af
Autor:
Jeffrey D. Blanchard, Marc Chamberland
Publikováno v:
The American Mathematical Monthly. :1-12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6966d968330484035c37c1f2bf5472bf
https://doi.org/10.1080/00029890.2022.2093573
https://doi.org/10.1080/00029890.2022.2093573
Autor:
Marc Chamberland, Armin Straub
Publikováno v:
The American Mathematical Monthly. 128:811-824
An important component of Apery’s proof that ζ(3) is irrational involves representing ζ(3) as the limit of the quotient of two rational solutions to a three-term recurrence. We present various appr...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41e68f8037a8050b2f7a3d1840a1b5ad
https://doi.org/10.1080/00029890.2021.1962153
https://doi.org/10.1080/00029890.2021.1962153
Publikováno v:
Mathematics Magazine. 93:271-275
Using the digits from the decimal expansion of 1/7, namely 142857, and forming six points in the plane—(1,4),(4,2),(2,8),(8,5),(5,7),(7,1)—one finds, surprisingly, that these six points lie on an e...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59172e81c5c71ac9c65ed6d396b0c4e9
https://doi.org/10.1080/0025570x.2020.1794198
https://doi.org/10.1080/0025570x.2020.1794198
Autor:
Marc Chamberland
Publikováno v:
The American Mathematical Monthly. 127:449-451
This note gives necessary and sufficient conditions for all the zeros of a single-variable polynomial with real coefficients to be real and distinct.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a322f3a36cebdba28662e9ae2cff761
https://doi.org/10.1080/00029890.2020.1715714
https://doi.org/10.1080/00029890.2020.1715714
Autor:
Marc Chamberland, Eugene A. Herman
Publikováno v:
The American Mathematical Monthly. 126:646-650
Using both geometrical and analytical approaches, new multivariable formulas connecting the arctangent function and the number π are produced.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::060b3d4dbaf87fc3189c7b95640c4f75
https://doi.org/10.1080/00029890.2019.1606578
https://doi.org/10.1080/00029890.2019.1606578
Autor:
Marc Chamberland
Publikováno v:
Journal of Number Theory. 148:384-397
The 3 x + 1 problem has resisted analysis from multiple perspectives for many decades. This paper studies the more general q x + r problem, where q and r are odd, and finds new, averaging structures for the iterates. This structure supports the conje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47f49b070bc39d41bff712a198e3097a
https://doi.org/10.1016/j.jnt.2014.09.024
https://doi.org/10.1016/j.jnt.2014.09.024