3 сент. 2018 г. · It states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12. |
Apéry's proof that ζ(3) is irrational [2], but for n ≥ 2, the arithmetical nature of ζ(2n+1) remains open. Ramanujan made many beautiful and elegant discoveries ... |
In this paper, we discuss various equivalent formulations for the sum of an infinite series considered by S. Ramanujan. In the process, we also evaluate, in. |
22 мар. 2013 г. · π=2√3∞∑n=0(−1)n(2n+1)3n. |
A Ramanujan-type formula due to the Chudnovsky brothers used to break a world record for computing the most digits of pi:. |
In a celebrated paper [7], Hardy and Ramanujan proved the asymptotic formula(1.1) p n ∼ 1 4 3 n exp ( 2 n 3 π ) . For two positive sequences { a n } ... |
Некоторые результаты поиска могли быть удалены в соответствии с местным законодательством. Подробнее... |
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