Wronskians of theta functions and series for \(1/\pi\)

DOI10.1016/j.aim.2018.09.007zbMath1452.11044arXiv1611.02217OpenAlexW2553777924MaRDI QIDQ1789490

Heng Huat Chan, Alex Berkovich, Michael J. Schlosser

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1611.02217

zbMATH Keywords

theta functionsWronskiansDedekind eta functionmodular equationsRamanujan-Borweins series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

On two double series for \(\pi\) and their \(q\)-analogues ⋮ Modular equations of degrees 13, 29, and 61 ⋮ $q$-analogues of several $\pi $-formulas

Cites Work

• Ramanujan's singular moduli
• Ramanujan's modular equations and Atkin-Lehner involutions
• Class invariants by Shimura's reciprocity law
• Domb's numbers and Ramanujan-Sato type series for \(1/\pi\)
• Cubic singular moduli, Ramanujan's class invariants \(\lambda_n\) and the explicit Shimura reciprocity law.
• An alternative transformation formula for the Dedekind η-function via the Chinese Remainder Theorem
• RAMANUJAN'S CLASS INVARIANT λ_n AND A NEW CLASS OF SERIES FOR 1/π
• Some Cubic Modular Identities of Ramanujan
• On Russell-Type Modular Equations
• Ramanujan-Weber Class Invariant G _n And Watson's Empirical Process
• A Cubic Counterpart of Jacobi's Identity and the AGM
• On Ramanujan's quartic theory of elliptic functions
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