Timeline for Trigonometry / Euclidean Geometry for natural numbers?
Current License: CC BY-SA 4.0
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| Oct 12, 2019 at 6:08 | comment | added | user142929 | Thanks to you @orgesleka and to the other mathematicians for such nice posts. As I said you can find the identity in the Spanish document that is online available, where $\text{m.c.d}(a,b)$ is the greatest common divisor and $\text{m.c.m}(a,b)$ denotes the least common multiple. On the oher hand the fractional part function and the floor function have Fourier series expansion that I evoke (I am an amateur, not a professor) that maybe are useful, see the Wikipedia Floor and ceiling functions; other expression that can be useful to do analysis is the MSE question 2807610. | |
| Oct 12, 2019 at 5:53 | comment | added | user6671 | thanks for the reference | |
| Oct 12, 2019 at 5:50 | comment | added | user142929 | A very detailed derivation of the identity is in pages 36-38 from (in Spanish) Adrián Delgado del Sol, Algunas formulaciones equivalentes a la hipótesis de Riemann, Trabajos Fin de Máster 2015-2016, Universidad Autónoma de Madrid (28 de junio de 2016). | |
| Oct 12, 2019 at 5:50 | history | answered | user142929 | CC BY-SA 4.0 |