Ramanujan-type identities for Shimura curves

dc.citation.epage	731	en_US
dc.citation.issue	2	en_US
dc.citation.spage	699	en_US
dc.citation.volume	214	en_US
dc.contributor.author	Yang, Yifan	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2017-04-21T06:56:45Z
dc.date.available	2017-04-21T06:56:45Z
dc.date.issued	2016-07	en_US
dc.description.abstract	In 1914, Ramanujan gave a list of 17 identities expressing 1/pi as linear combinations of values of hypergeometric functions at certain rational numbers. Since then, identities of similar nature have been discovered by many authors. Nowadays, one of the standard approaches to this kind of identities uses the theory of modular curves. In this paper, we will consider the case of Shimura curves and obtain Ramanujan-type formulas involving special values of hypergeometric functions and periods of elliptic curves over Q with complex multiplication by .	en_US
dc.identifier.doi	10.1007/s11856-016-1354-1	en_US
dc.identifier.issn	0021-2172	en_US
dc.identifier.journal	ISRAEL JOURNAL OF MATHEMATICS	en_US
dc.identifier.uri	http://dx.doi.org/10.1007/s11856-016-1354-1	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/132573
dc.identifier.wosnumber	WOS:000382866000009	en_US
dc.language.iso	en_US	en_US
dc.title	Ramanujan-type identities for Shimura curves	en_US

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