Ramanujan-type identities for Shimura curves
From MaRDI portal
Publication:312310
DOI10.1007/s11856-016-1354-1zbMath1410.11076arXiv1301.3344OpenAlexW1640932194MaRDI QIDQ312310
Publication date: 15 September 2016
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.3344
Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18)
Related Items (3)
Chudnovsky-Ramanujan type formulae for non-compact arithmetic triangle groups ⋮ Special values of hypergeometric functions and periods of CM elliptic curves ⋮ Ramanujan-type \(1/\pi\)-series from bimodular forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schwarzian differential equations associated to Shimura curves of genus zero
- New analogues of Clausen's identities arising from the theory of modular forms
- On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
- The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
- Arithmétique des algèbres de quaternions
- Automorphic forms and the periods of abelian varieties
- On some arithmetic properties of modular forms of one and several variables
- Cubic modular equations and new Ramanujan-type series for \(1/\pi\).
- Class number three Ramanujan type series for \(1/\pi\)
- On canonical models of arithmetic quotients of bounded symmetric domains
- Ramanujan's Series for 1/π: A Survey
- RAMANUJAN'S CLASS INVARIANT λn AND A NEW CLASS OF SERIES FOR 1/π
- Ramanujan-type formulae for $1/\pi$: A second wind?
- Borcherds forms and generalizations of singular moduli
- Modular functions and transcendence questions
- Quaternion Orders, Quadratic Forms, and Shimura Curves
- Schwarzian differential equations and Hecke eigenforms on Shimura curves
- Singular Moduli of Shimura Curves
- On Epstein's Zeta-function.
- Eisenstein series and approximations to \(\pi\)
This page was built for publication: Ramanujan-type identities for Shimura curves
