Ramanujan-like Series for 1/π2and String Theory

DOI10.1080/10586458.2012.656059zbMath1259.81041arXiv1009.5202OpenAlexW2047241552MaRDI QIDQ5200342

Jesús Guillera, Gert Almkvist

Publication date: 5 November 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5202

zbMATH Keywords

hypergeometric seriesmirror mapYukawa couplingGromov-Witten potentialCalabi-Yau differential equationsRamanujan-like series for \(1/\pi^2\)

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)

Related Items (8)

Special Hypergeometric Motives and Their L-Functions: Asai Recognition ⋮ Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups ⋮ More hypergeometric identities related to Ramanujan-type series ⋮ Unnamed Item ⋮ Bilateral Ramanujan-like series for 1/πk and their congruences ⋮ Ramanujan–Sato-Like Series ⋮ New families of double hypergeometric series for constants involving ${1}/{\pi ^2}$ ⋮ A family of Ramanujan–Orr formulas for 1/π

Cites Work

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• Generators of some Ramanujan formulas
• Ramanujan-type supercongruences
• Some binomial series obtained by the WZ-method
• Quadratic transformations and Guillera's formulas for \(1/\pi^2\)
• “Divergent” Ramanujan-type supercongruences
• Mosaic Supercongruences of Ramanujan Type
• A Matrix form of Ramanujan-type series for $1/\pi$
• Ramanujan's Series for 1/π: A Survey
• About a New Kind of Ramanujan-Type Series

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