Rice, Adrian “The riddle of the ages”: James Joseph Sylvester and the transcendence of \(\pi\). (English) Zbl 07864121 Am. Math. Mon. 131, No. 6, 463-478 (2024). Reviewer: Christopher Hollings (Oxford) MSC: 01A55 11-03 × Cite Format Result Cite Review PDF Full Text: DOI
Varona, Juan Luis A couple of transcendental prime-representing constants. (English) Zbl 1482.11012 Am. Math. Mon. 128, No. 10, 922-928 (2021). MSC: 11A41 11J81 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Torné, José Antonio; Varona, Juan Luis The Lindemann theorem for matrices. (English) Zbl 1448.11141 Am. Math. Mon. 125, No. 10, 939-940 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 15A16 × Cite Format Result Cite Review PDF Full Text: DOI
Murty, M. Ram; Weatherby, Chester A generalization of Euler’s theorem for \(\zeta(2k)\). (English) Zbl 1341.11040 Am. Math. Mon. 123, No. 1, 53-65 (2016). MSC: 11J81 11M06 33E20 × Cite Format Result Cite Review PDF Full Text: DOI
Murty, M. Ram; Zaytseva, Anastasia Transcendence of generalized Euler constants. (English) Zbl 1310.11075 Am. Math. Mon. 120, No. 1, 48-54 (2013). MSC: 11J81 11J86 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Beanland, Kevin; Roberts, James W.; Stevenson, Craig Modifications of Thomae’s function and differentiability. (English) Zbl 1229.26011 Am. Math. Mon. 116, No. 6, 531-535 (2009). MSC: 26A27 11J82 97I40 97F60 × Cite Format Result Cite Review PDF Full Text: DOI
Adamczewski, Boris; Bugeaud, Yann A short proof of the transcendence of Thue-Morse continued fractions. (English) Zbl 1132.11330 Am. Math. Mon. 114, No. 6, 536-540 (2007). MSC: 11J70 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Scheinerman, Edward R. When close enough is close enough. (English) Zbl 1074.11508 Am. Math. Mon. 107, No. 6, 489-499 (2000). MSC: 11J82 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Allouche, Jean-Paul; Cosnard, Michel The Komornik-Loreti constant is transcendental. (English) Zbl 0997.11052 Am. Math. Mon. 107, No. 5, 448-449 (2000). Reviewer: Valérie Berthé (Marseille) MSC: 11J81 11B85 11A63 × Cite Format Result Cite Review PDF Full Text: DOI
Knight, M. J. An “oceans of zeros” proof that a certain non-Liouville number is transcendental. (English) Zbl 0743.11034 Am. Math. Mon. 98, No. 10, 947-949 (1991). Reviewer: K.Ramachandra (Bombay) MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Rubel, Lee A. A survey of transcendentally transcendental functions. (English) Zbl 0719.12006 Am. Math. Mon. 96, No. 9, 777-788 (1989). Reviewer: J.H.Loxton (North Ryde) MSC: 12H05 30B10 11J91 × Cite Format Result Cite Review PDF Full Text: DOI
Sagher, Yoram What Pythagoras could have done. (English) Zbl 0643.10028 Am. Math. Mon. 95, No. 2, 117 (1988). MSC: 11J81 11-01 × Cite Format Result Cite Review PDF Full Text: DOI
Parks, Alan E. \(\pi\) , e, and other irrational numbers. (English) Zbl 0609.10029 Am. Math. Mon. 93, 722-723 (1986). Reviewer: L.Kuipers MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Hančl, Jaroslav A simple proof of the irrationality of \(\pi ^ 4\). (English) Zbl 0597.10029 Am. Math. Mon. 93, 374-375 (1986). Reviewer: L.Kuipers MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Priestley, W. M. Sets thick and thin. (English) Zbl 0339.10024 Am. Math. Mon. 83, 648-650 (1976). MSC: 11J81 11J04 26A21 × Cite Format Result Cite Review PDF Full Text: DOI
Schenkman, Eugene The independence of some exponential values. (English) Zbl 0278.10034 Am. Math. Mon. 81, 46-49 (1974). MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI