Farhadian, Reza; Ponomarenko, Vadim A statistical proof of Chebyshev’s sum inequality. (English) Zbl 07825689 Am. Math. Mon. 131, No. 3, 224 (2024). MSC: 26D15 60C99 PDFBibTeX XMLCite \textit{R. Farhadian} and \textit{V. Ponomarenko}, Am. Math. Mon. 131, No. 3, 224 (2024; Zbl 07825689) Full Text: DOI
Deka, Konrad; Varivoda, Marin Convexity of Chebyshev sets revisited. (English) Zbl 1495.11095 Am. Math. Mon. 129, No. 8, 763-774 (2022). MSC: 11L03 11B68 PDFBibTeX XMLCite \textit{K. Deka} and \textit{M. Varivoda}, Am. Math. Mon. 129, No. 8, 763--774 (2022; Zbl 1495.11095) Full Text: DOI
Nath, Ayan On the divisibility \(a! + b! \mid (a + b)!\). (English) Zbl 1501.11034 Am. Math. Mon. 129, No. 3, 246-254 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11B65 11B39 11C08 PDFBibTeX XMLCite \textit{A. Nath}, Am. Math. Mon. 129, No. 3, 246--254 (2022; Zbl 1501.11034) Full Text: DOI
Wolfram, D. A. Factoring variants of Chebyshev polynomials of the first and second kinds with minimal polynomials of \(\cos (\frac{2 \pi}{d})\). (English) Zbl 1485.12003 Am. Math. Mon. 129, No. 2, 172-176 (2022). MSC: 12E10 12D05 PDFBibTeX XMLCite \textit{D. A. Wolfram}, Am. Math. Mon. 129, No. 2, 172--176 (2022; Zbl 1485.12003) Full Text: DOI
Bowman, Joshua P. Geometry and algebra of the deltoid map. (English) Zbl 1460.37043 Am. Math. Mon. 128, No. 1, 25-39 (2021). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F20 53A04 PDFBibTeX XMLCite \textit{J. P. Bowman}, Am. Math. Mon. 128, No. 1, 25--39 (2021; Zbl 1460.37043) Full Text: DOI arXiv
Huber, Mark Halving the bounds for the Markov, Chebyshev, and Chernoff inequalities using smoothing. (English) Zbl 07135427 Am. Math. Mon. 126, No. 10, 915-927 (2019). MSC: 65A05 PDFBibTeX XMLCite \textit{M. Huber}, Am. Math. Mon. 126, No. 10, 915--927 (2019; Zbl 07135427) Full Text: DOI arXiv
Munch, Niels Juul A Chebyshev theorem for ellipses in the complex plane. (English) Zbl 1477.41014 Am. Math. Mon. 126, No. 5, 430-436 (2019). Reviewer: Alexey Alimov (Moskva) MSC: 41A50 30C10 PDFBibTeX XMLCite \textit{N. J. Munch}, Am. Math. Mon. 126, No. 5, 430--436 (2019; Zbl 1477.41014) Full Text: DOI
Sánchez-Reyes, Javier The Joukowsky map reveals the cubic equation. (English) Zbl 1408.30006 Am. Math. Mon. 126, No. 1, 33-40 (2019). MSC: 30C15 26C10 41A50 PDFBibTeX XMLCite \textit{J. Sánchez-Reyes}, Am. Math. Mon. 126, No. 1, 33--40 (2019; Zbl 1408.30006) Full Text: DOI OA License
Andreescu, Titu; Mushkarov, Oleg Quadratic forms, Chebyshev polynomials, and geometric inequalities. (English) Zbl 1401.15020 Am. Math. Mon. 125, No. 9, 811-819 (2018). MSC: 15A63 15A18 15A45 15A42 52A40 PDFBibTeX XMLCite \textit{T. Andreescu} and \textit{O. Mushkarov}, Am. Math. Mon. 125, No. 9, 811--819 (2018; Zbl 1401.15020) Full Text: DOI
De Angelis, Valerio The Stern diatomic sequence via generalized Chebyshev polynomials. (English) Zbl 1391.11049 Am. Math. Mon. 124, No. 5, 451-455 (2017). MSC: 11B83 PDFBibTeX XMLCite \textit{V. De Angelis}, Am. Math. Mon. 124, No. 5, 451--455 (2017; Zbl 1391.11049) Full Text: DOI arXiv
Boyd, John P.; Wang, Houjun Convergent power series for boundary value problems and eigenproblems with application to atmospheric and oceanic tides. (English) Zbl 1391.34024 Am. Math. Mon. 124, No. 4, 306-323 (2017). MSC: 34A25 86A05 86A10 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{H. Wang}, Am. Math. Mon. 124, No. 4, 306--323 (2017; Zbl 1391.34024) Full Text: DOI
Gürtaş, Yusuf Z. Chebyshev polynomials and the minimal polynomial of \(\cos(2\pi/n)\). (English) Zbl 1391.12003 Am. Math. Mon. 124, No. 1, 74-78 (2017). MSC: 12E10 PDFBibTeX XMLCite \textit{Y. Z. Gürtaş}, Am. Math. Mon. 124, No. 1, 74--78 (2017; Zbl 1391.12003) Full Text: DOI
Cafure, Antonio; Cesaratto, Eda Irreducibility criteria for reciprocal polynomials and applications. (English) Zbl 1391.12002 Am. Math. Mon. 124, No. 1, 37-53 (2017). MSC: 12E05 PDFBibTeX XMLCite \textit{A. Cafure} and \textit{E. Cesaratto}, Am. Math. Mon. 124, No. 1, 37--53 (2017; Zbl 1391.12002) Full Text: DOI
Damianou, Pantelis A. A beautiful sine formula. (English) Zbl 1307.17016 Am. Math. Mon. 121, No. 2, 120-135 (2014). Reviewer: Stefano Capparelli (Roma) MSC: 17B20 20F55 33C45 PDFBibTeX XMLCite \textit{P. A. Damianou}, Am. Math. Mon. 121, No. 2, 120--135 (2014; Zbl 1307.17016) Full Text: DOI
Dragović, Vladimir Polynomial dynamics and a proof of the Fermat little theorem. (English) Zbl 1278.37041 Am. Math. Mon. 120, No. 2, 171-173 (2013). Reviewer: Rainer Brück (Dortmund) MSC: 37F10 11A07 12E10 PDFBibTeX XMLCite \textit{V. Dragović}, Am. Math. Mon. 120, No. 2, 171--173 (2013; Zbl 1278.37041) Full Text: DOI
Rosen, Julian; Scherr, Zachary; Weiss, Benjamin; Zieve, Michael E. Chebyshev mappings of finite fields. (English) Zbl 1245.11117 Am. Math. Mon. 119, No. 2, 151-155 (2012). MSC: 11T06 33C45 97F60 PDFBibTeX XMLCite \textit{J. Rosen} et al., Am. Math. Mon. 119, No. 2, 151--155 (2012; Zbl 1245.11117) Full Text: DOI
Granville, Andrew; Martin, Greg Prime number races. (English) Zbl 1139.11037 Am. Math. Mon. 113, No. 1, 1-33 (2006). Reviewer: Christian Elsholtz (Surrey) MSC: 11N13 11N05 11Y35 PDFBibTeX XMLCite \textit{A. Granville} and \textit{G. Martin}, Am. Math. Mon. 113, No. 1, 1--33 (2006; Zbl 1139.11037) Full Text: DOI arXiv
Aharonov, Dov; Beardon, Alan; Driver, Kathy Fibonacci, Chebyshev, and orthogonal polynomials. (English) Zbl 1138.11308 Am. Math. Mon. 112, No. 7, 612-630 (2005). MSC: 11B39 01A35 01A45 01A55 33C45 PDFBibTeX XMLCite \textit{D. Aharonov} et al., Am. Math. Mon. 112, No. 7, 612--630 (2005; Zbl 1138.11308) Full Text: DOI
Dilcher, Karl; Stolarsky, Kenneth B. A Pascal-type triangle characterizing twin primes. (English) Zbl 1159.11303 Am. Math. Mon. 112, No. 8, 673-681 (2005). MSC: 11A41 33C45 11B65 05A10 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{K. B. Stolarsky}, Am. Math. Mon. 112, No. 8, 673--681 (2005; Zbl 1159.11303) Full Text: DOI Link
Vietri, Andrea An inductive proof of a known result about \(\psi(x)\). (English) Zbl 1059.11006 Am. Math. Mon. 109, No. 4, 390-391 (2002). Reviewer: Panayiotis Vlamos (Athens) MSC: 11A25 11A41 PDFBibTeX XMLCite \textit{A. Vietri}, Am. Math. Mon. 109, No. 4, 390--391 (2002; Zbl 1059.11006) Full Text: DOI
Nathanson, Melvyn B. Number theory and semigroups of intermediate growth. (English) Zbl 0990.20037 Am. Math. Mon. 106, No. 7, 666-669 (1999). Reviewer: Grigore Călugăreanu (Safat) MSC: 20M05 11P82 68R15 PDFBibTeX XMLCite \textit{M. B. Nathanson}, Am. Math. Mon. 106, No. 7, 666--669 (1999; Zbl 0990.20037) Full Text: DOI
Bateman, Paul T.; Diamond, Harold G. A hundred years of prime numbers. (English) Zbl 0871.11005 Am. Math. Mon. 103, No. 9, 729-741 (1996). Reviewer: S.L.Segal (Rochester) MSC: 11-03 01A60 11N05 PDFBibTeX XMLCite \textit{P. T. Bateman} and \textit{H. G. Diamond}, Am. Math. Mon. 103, No. 9, 729--741 (1996; Zbl 0871.11005) Full Text: DOI
Sander, J. W. A story of binomial coefficients and primes. (English) Zbl 0844.11017 Am. Math. Mon. 102, No. 9, 802-807 (1995). Reviewer: József Sándor (Jud.Harghita) MSC: 11B65 PDFBibTeX XMLCite \textit{J. W. Sander}, Am. Math. Mon. 102, No. 9, 802--807 (1995; Zbl 0844.11017) Full Text: DOI
Derrick, William; Eidswick, Jack Continued fractions, Chebyshev polynomials, and chaos. (English) Zbl 0832.11003 Am. Math. Mon. 102, No. 4, 337-344 (1995). Reviewer: G.Larcher (Salzburg) MSC: 11A55 37D45 33C45 PDFBibTeX XMLCite \textit{W. Derrick} and \textit{J. Eidswick}, Am. Math. Mon. 102, No. 4, 337--344 (1995; Zbl 0832.11003) Full Text: DOI
Savio, D. Y.; Suryanarayan, E. R. Chebyshev polynomials and regular polygons. (English) Zbl 0789.33003 Am. Math. Mon. 100, No. 7, 657-661 (1993). Reviewer: P.A.McCoy (Annapolis) MSC: 33C45 35E05 PDFBibTeX XMLCite \textit{D. Y. Savio} and \textit{E. R. Suryanarayan}, Am. Math. Mon. 100, No. 7, 657--661 (1993; Zbl 0789.33003) Full Text: DOI
Bojanov, Borislav Elementary proof of the Remez inequality. (English) Zbl 0806.41005 Am. Math. Mon. 100, No. 5, 483-485 (1993). Reviewer: D.W.Boyd (Vancouver) MSC: 41A10 PDFBibTeX XMLCite \textit{B. Bojanov}, Am. Math. Mon. 100, No. 5, 483--485 (1993; Zbl 0806.41005) Full Text: DOI
Watkins, William; Zeitlin, Joel The minimal polynomial of \(\cos(2\pi / n)\). (English) Zbl 0796.11008 Am. Math. Mon. 100, No. 5, 471-474 (1993). Reviewer: Bernd Richter (Berlin) MSC: 11C08 11B83 12D05 PDFBibTeX XMLCite \textit{W. Watkins} and \textit{J. Zeitlin}, Am. Math. Mon. 100, No. 5, 471--474 (1993; Zbl 0796.11008) Full Text: DOI
Golomb, Solomon W. An identity for \( {2n \choose n}\). (English) Zbl 0760.11001 Am. Math. Mon. 99, No. 8, 746-748 (1992). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11A41 11B65 PDFBibTeX XMLCite \textit{S. W. Golomb}, Am. Math. Mon. 99, No. 8, 746--748 (1992; Zbl 0760.11001) Full Text: DOI
Stolarsky, Kenneth B. From Wythoff’s Nim to Chebyshev’s inequality. (English) Zbl 0749.26014 Am. Math. Mon. 98, No. 10, 889-900 (1991). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 26D15 39B22 33B15 91A05 91A80 PDFBibTeX XMLCite \textit{K. B. Stolarsky}, Am. Math. Mon. 98, No. 10, 889--900 (1991; Zbl 0749.26014) Full Text: DOI
Takács, Lajos A moment convergence theorem. (English) Zbl 0747.60019 Am. Math. Mon. 98, No. 8, 742-746 (1991). Reviewer: Z.Jurek (Wrocław) MSC: 60E05 PDFBibTeX XMLCite \textit{L. Takács}, Am. Math. Mon. 98, No. 8, 742--746 (1991; Zbl 0747.60019) Full Text: DOI
Cooper, Curtis N.; Kennedy, Robert E. Chebyshev’s inequality and natural density. (English) Zbl 0694.10004 Am. Math. Mon. 96, No. 2, 118-124 (1989). Reviewer: Th.Maxsein MSC: 11A25 11B83 PDFBibTeX XMLCite \textit{C. N. Cooper} and \textit{R. E. Kennedy}, Am. Math. Mon. 96, No. 2, 118--124 (1989; Zbl 0694.10004) Full Text: DOI
Robertson, Lewis C.; Shortt, Rae Michael; Landry, Stephen G. Dice with fair sums. (English) Zbl 0662.60021 Am. Math. Mon. 95, No. 4, 316-328 (1988). Reviewer: T.F.Mori MSC: 60E05 33C45 PDFBibTeX XMLCite \textit{L. C. Robertson} et al., Am. Math. Mon. 95, No. 4, 316--328 (1988; Zbl 0662.60021) Full Text: DOI
Zwick, D. Best approximation by convex functions. (English) Zbl 0668.41021 Am. Math. Mon. 94, No. 6, 528-534 (1987). Reviewer: M. B. A. Babaev (Baku) MSC: 41A50 41A30 PDFBibTeX XMLCite \textit{D. Zwick}, Am. Math. Mon. 94, 528--534 (1987; Zbl 0668.41021) Full Text: DOI
Epperson, James F. On the Runge example. (English) Zbl 0636.41004 Am. Math. Mon. 94, 329-341 (1987). Reviewer: R.Precup MSC: 41A05 41A10 PDFBibTeX XMLCite \textit{J. F. Epperson}, Am. Math. Mon. 94, 329--341 (1987; Zbl 0636.41004) Full Text: DOI
Matiyasevich, Yuri V.; Guy, Richard K. A new formula for \(\pi\). (English) Zbl 0614.10003 Am. Math. Mon. 93, 631-635 (1986). Reviewer: R.J.Stroeker MSC: 11A41 11B37 PDFBibTeX XMLCite \textit{Y. V. Matiyasevich} and \textit{R. K. Guy}, Am. Math. Mon. 93, 631--635 (1986; Zbl 0614.10003) Full Text: DOI
Costa Pereira, N. A short proof of Chebyshev’s theorem. (English) Zbl 0578.10042 Am. Math. Mon. 92, 494-495 (1985). MSC: 11N05 PDFBibTeX XMLCite \textit{N. Costa Pereira}, Am. Math. Mon. 92, 494--495 (1985; Zbl 0578.10042) Full Text: DOI
Levasseur, Kenneth M. A probabilistic proof of the Weierstrass approximation theorem. (English) Zbl 0564.41005 Am. Math. Mon. 91, 249-250 (1984). Reviewer: L.Hahn MSC: 41A10 PDFBibTeX XMLCite \textit{K. M. Levasseur}, Am. Math. Mon. 91, 249--250 (1984; Zbl 0564.41005) Full Text: DOI
Ortiz, E. L.; Rivlin, T. J. Another look at the Chebyshev polynomials. (English) Zbl 0522.33006 Am. Math. Mon. 90, 3-10 (1983). MSC: 33C45 33B10 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{T. J. Rivlin}, Am. Math. Mon. 90, 3--10 (1983; Zbl 0522.33006) Full Text: DOI
Nair, M. On Chebyshev-type inequalities for primes. (English) Zbl 0494.10004 Am. Math. Mon. 89, 126-129 (1982). MSC: 11A41 PDFBibTeX XMLCite \textit{M. Nair}, Am. Math. Mon. 89, 126--129 (1982; Zbl 0494.10004) Full Text: DOI
Kammler, David W.; McGlinn, Robert J. Local conditioning of parametric forms used to approximate continuous functions. (English) Zbl 0426.41024 Am. Math. Mon. 86, 841-845 (1979). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{D. W. Kammler} and \textit{R. J. McGlinn}, Am. Math. Mon. 86, 841--845 (1979; Zbl 0426.41024) Full Text: DOI
Fisher, Stephen D. Quantitative approximation theory. (English) Zbl 0396.41005 Am. Math. Mon. 85, 318-332 (1978). MSC: 41A17 41A25 41A44 41A46 41A50 PDFBibTeX XMLCite \textit{S. D. Fisher}, Am. Math. Mon. 85, 318--332 (1978; Zbl 0396.41005) Full Text: DOI
Dressler, Robert E.; van de Lune, Jan A note on a formula of Chebychef. (English) Zbl 0301.10002 Am. Math. Mon. 82, 506-507 (1975). Reviewer: T. M. Apostol MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{R. E. Dressler} and \textit{J. van de Lune}, Am. Math. Mon. 82, 506--507 (1975; Zbl 0301.10002) Full Text: DOI
Salkauskas, K. Construction of Chebyshev quadrature formulae. (English) Zbl 0169.07801 Am. Math. Mon. 75, 1099-1101 (1968). PDFBibTeX XMLCite \textit{K. Salkauskas}, Am. Math. Mon. 75, 1099--1101 (1968; Zbl 0169.07801) Full Text: DOI
Wayne, Alan Fermat’s equation and Tshebysheff’s polynomials. (English) Zbl 0034.31301 Am. Math. Mon. 56, 626 (1949). Reviewer: H. Ostmann (Marburg/Lahn) MSC: 11D09 11A55 PDFBibTeX XMLCite \textit{A. Wayne}, Am. Math. Mon. 56, 626 (1949; Zbl 0034.31301) Full Text: DOI
Fejér, L. On the characterization of some remarkable systems of points of interpolation by means of conjugate points. (English) JFM 60.0294.02 Amer. Math. Monthly 41, 1-14 (1934). Reviewer: Hahn, W., Dr. (Berlin) PDFBibTeX XMLCite \textit{L. Fejér}, Am. Math. Mon. 41, 1--14 (1934; JFM 60.0294.02) Full Text: DOI
Basoco, M. H. On certain finite sums of binomial coefficients and Gamma functions. (English) JFM 56.0307.01 Amer. Math. Monthly 37, 241-245 (1930). Reviewer: Feigl, G., Prof. (Breslau) PDFBibTeX XMLCite \textit{M. H. Basoco}, Am. Math. Mon. 37, 241--245 (1930; JFM 56.0307.01) Full Text: DOI