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Twenty Digits of Some Integrals of the P...

Mathar, Richard J....

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Twenty Digits of Some Integrals of the Prime Zeta Function by Mathar, Richard J. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-08-2023
Summary	The double sum sum_(s >= 1) sum_p 1/(p^s log p^s) = 2.00666645... over the inverse of the product of prime powers p^s and their logarithms, is computed to 24 decimal digits. The sum covers all primes p and all integer exponents s>=1. The calculational strategy is adopted from Cohen's work which basically looks at the fraction as the underivative of the Prime Zeta Function, and then evaluates the integral by numerical methods.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0811.4739

Citation

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AMA 11th EditionReferences

Mathar, Richard J.. Twenty Digits of Some Integrals of the Prime Zeta Function. Australian National University. August 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/2271

APA 7th EditionReferences

Mathar, Richard J.. (2023). Twenty Digits of Some Integrals of the Prime Zeta Function. Australian National University. https://online.provdatabase.com/cite/2271

Chicago 17th EditionReferences

Mathar, Richard J.. Twenty Digits of Some Integrals of the Prime Zeta Function. Australian National University. 2023. https://online.provdatabase.com/cite/2271

HarvardReferences

Mathar, Richard J.. (2023). Twenty Digits of Some Integrals of the Prime Zeta Function. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/2271. (Accessed 20 September 2024).

Harvard AustraliaReferences

Mathar, Richard J., 2023, Twenty Digits of Some Integrals of the Prime Zeta Function, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/2271>

MLA 9th EditionWorks Cited

Mathar, Richard J.. Twenty Digits of Some Integrals of the Prime Zeta Function. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/2271.

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