A SOLUTION OF SUN'S $520 CHALLENGE CONCERNING $\frac{520}{\pi}$

DOI10.1142/S1793042113500267zbMath1277.33002arXiv1210.2373MaRDI QIDQ2840307

Armin Straub, Mathew D. Rogers

Publication date: 17 July 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2373

zbMATH Keywords

modular functionshypergeometric functionsmodular equationsseries for \(1/\pi \)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Evaluation of number-theoretic constants (11Y60)

Related Items (4)

Some new series for $1/\pi $ motivated by congruences ⋮ New series for powers of \(\pi\) and related congruences ⋮ Short Walk Adventures ⋮ Ramanujan-type \(1/\pi\)-series from bimodular forms

Cites Work

• Eisenstein series and Ramanujan-type series for \(1 / \pi\)
• Generating functions of Legendre polynomials: A tribute to Fred Brafman
• Legendre polynomials and Ramanujan-type series for \(1/\pi\)
• Elliptic Modular Forms and Their Applications

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