Some new Ramanujan-Sato series for $1/\pi$
Tao Wei, Zhengyu Tao, Xuejun Guo
TL;DR
This paper introduces ten new Ramanujan-Sato series for 1/π, expanding the known formulas by applying the method of Huber, Schultz, and Ye across various levels.
Contribution
It presents ten novel Ramanujan-Sato series for 1/π derived using a specific method, covering multiple levels not previously explored.
Findings
Ten new Ramanujan-Sato series for 1/π derived.
Series cover levels 14 to 39.
Method of Huber, Schultz, and Ye successfully applied.
Abstract
We derive 10 new Ramanujan-Sato series of by using the method of Huber, Schultz and Ye. The levels of these series are 14, 15, 16, 20, 21, 22, 26, 35, 39.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Algebra and Geometry