# Kind of proofs of Ramanujan-like series

@article{Guillera2012KindOP, title={Kind of proofs of Ramanujan-like series}, author={Jes{\'u}s Guillera}, journal={arXiv: Number Theory}, year={2012} }

We make a summary of the different types of proofs adding some new ideas. In addition we conjecture some relations which could be necessary in "modular type proofs" (not still found) of the Ramanujan-like series for 1/\pi^2.

## 2 Citations

On proving some of Ramanujan's formulas for $\frac{1}{\pi}$ with an elementary method

- Mathematics
- 2013

In this paper we want to prove some formulas listed by S. Ramanujan in his paper "Modular equations and approximations to $\pi$" \cite{24} with an elementary method.

Divisibility of some binomial sums

- Mathematics
- 2018

With help of $q$-congruence, we prove the divisibility of some binomial sums. For example, for any integers $\rho,n\geq 2$, $$\sum_{k=0}^{n-1}(4k+1) \binom{2k}{k}^\rho \cdot (-4)^{\rho(n-1-k)} \equiv…

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