ரீமான் கருதுகோள் (Tamil Wikipedia)

Analysis of information sources in references of the Wikipedia article "ரீமான் கருதுகோள்" in Tamil language version.

refsWebsite

Global rank Tamil rank

3,479^th place

1,720^th place

4,660^th place

1,409^th place

maa.org (Global: 3,479^th place; Tamil: 1,720^th place)

Euler, Leonhard (1744). Variae observationes circa series infinitas. Commentarii academiae scientiarum Petropolitanae 9, pp. 160–188, Theorems 7 and 8. In Theorem 7 Euler proves the formula in the special case $s=1$ , and in Theorem 8 he proves it more generally. In the first corollary to his Theorem 7 he notes that $\zeta (1)=\log \infty$ , and makes use of this latter result in his Theorem 19, in order to show that the sum of the inverses of the prime numbers is $\log \log \infty$ .

Values for ζ can be found by calculating, e.g., ζ(1/2 − 30i).("Wolframalpha computational intelligence". wolframalpha.com. Wolfram. Retrieved 2 October 2022.