Størmer's theorem (English Wikipedia)

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Lehmer (1964), Theorem 1. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 2. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964). Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 7. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 8. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
In particular see Cao (1991), Luo (1991), Mei & Sun (1997), Sun & Yuan (1989), and Walker (1967). Luo, Jia Gui (1991). "A generalization of the Störmer theorem and some applications". Sichuan Daxue Xuebao. 28 (4): 469–474. MR 1148835. Mei, Han Fei; Sun, Sheng Fang (1997). "A further extension of Störmer's theorem". Journal of Jishou University (Natural Science Edition) (in Chinese). 18 (3): 42–44. MR 1490505. Sun, Qi; Yuan, Ping Zhi (1989). "On the Diophantine equations $(ax^{n}-1)/(ax-1)=y^{2}$ and $(ax^{n}+1)/(ax+1)=y^{2}$ ". Sichuan Daxue Xuebao. 26: 20–24. MR 1059671. Walker, D. T. (1967). "On the diophantine equation mX² - nY² = ±1". American Mathematical Monthly. 74 (5): 504–513. doi:10.2307/2314877. JSTOR 2314877. MR 0211954.
Halsey & Hewitt (1972). Halsey, G. D.; Hewitt, Edwin (1972). "More on the superparticular ratios in music". American Mathematical Monthly. 79 (10): 1096–1100. doi:10.2307/2317424. JSTOR 2317424. MR 0313189.

archive.org

Partch (1974). Partch, Harry (1974). Genesis of a Music: An Account of a Creative Work, Its Roots, and Its Fulfillments (2nd ed.). New York: Da Capo Press. p. 73. ISBN 0-306-71597-X.

doi.org

Lehmer (1964), Theorem 1. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 2. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964). Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 7. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
Lehmer (1964), Theorem 8. Lehmer, D. H. (1964). "On a Problem of Størmer". Illinois Journal of Mathematics. 8: 57–79. doi:10.1215/ijm/1256067456. MR 0158849.
As quoted by Chapman (1958). Chapman, Sydney (1958). "Fredrik Carl Mulertz Stormer, 1874-1957". Biographical Memoirs of Fellows of the Royal Society. 4: 257–279. doi:10.1098/rsbm.1958.0021. JSTOR 769515.
In particular see Cao (1991), Luo (1991), Mei & Sun (1997), Sun & Yuan (1989), and Walker (1967). Luo, Jia Gui (1991). "A generalization of the Störmer theorem and some applications". Sichuan Daxue Xuebao. 28 (4): 469–474. MR 1148835. Mei, Han Fei; Sun, Sheng Fang (1997). "A further extension of Störmer's theorem". Journal of Jishou University (Natural Science Edition) (in Chinese). 18 (3): 42–44. MR 1490505. Sun, Qi; Yuan, Ping Zhi (1989). "On the Diophantine equations $(ax^{n}-1)/(ax-1)=y^{2}$ and $(ax^{n}+1)/(ax+1)=y^{2}$ ". Sichuan Daxue Xuebao. 26: 20–24. MR 1059671. Walker, D. T. (1967). "On the diophantine equation mX² - nY² = ±1". American Mathematical Monthly. 74 (5): 504–513. doi:10.2307/2314877. JSTOR 2314877. MR 0211954.
Halsey & Hewitt (1972). Halsey, G. D.; Hewitt, Edwin (1972). "More on the superparticular ratios in music". American Mathematical Monthly. 79 (10): 1096–1100. doi:10.2307/2317424. JSTOR 2317424. MR 0313189.

jstor.org

As quoted by Chapman (1958). Chapman, Sydney (1958). "Fredrik Carl Mulertz Stormer, 1874-1957". Biographical Memoirs of Fellows of the Royal Society. 4: 257–279. doi:10.1098/rsbm.1958.0021. JSTOR 769515.
In particular see Cao (1991), Luo (1991), Mei & Sun (1997), Sun & Yuan (1989), and Walker (1967). Luo, Jia Gui (1991). "A generalization of the Störmer theorem and some applications". Sichuan Daxue Xuebao. 28 (4): 469–474. MR 1148835. Mei, Han Fei; Sun, Sheng Fang (1997). "A further extension of Störmer's theorem". Journal of Jishou University (Natural Science Edition) (in Chinese). 18 (3): 42–44. MR 1490505. Sun, Qi; Yuan, Ping Zhi (1989). "On the Diophantine equations $(ax^{n}-1)/(ax-1)=y^{2}$ and $(ax^{n}+1)/(ax+1)=y^{2}$ ". Sichuan Daxue Xuebao. 26: 20–24. MR 1059671. Walker, D. T. (1967). "On the diophantine equation mX² - nY² = ±1". American Mathematical Monthly. 74 (5): 504–513. doi:10.2307/2314877. JSTOR 2314877. MR 0211954.
Halsey & Hewitt (1972). Halsey, G. D.; Hewitt, Edwin (1972). "More on the superparticular ratios in music". American Mathematical Monthly. 79 (10): 1096–1100. doi:10.2307/2317424. JSTOR 2317424. MR 0313189.