Regulators of K-2 of hypergeometric fibrations


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/75259

Title:	Regulators of K-2 of hypergeometric fibrations
Authors:	Asakura, Masanori Browse this author →KAKEN DB
Keywords:	Periods
	Regulators
	Hypergeometric functions
Issue Date:	26-Apr-2018
Publisher:	Springer
Journal Title:	Research in number theory
Volume:	4
Start Page:	22
Publisher DOI:	10.1007/s40993-018-0116-z
Abstract:	We describe Beilinson regulators of hypergeometric fibrations in terms of generalized hypergeometric functions. Employing a formula of Rogers and Zudilin, we obtain the comparison of the regulator with the special value of L function of a certain elliptic curve. This is a new approach toward the Beilinson conjecture.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/75259
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 朝倉政典

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