Jacobsthal identity for Q(root-2)

dc.citation.epage	1238	en_US
dc.citation.issue	6	en_US
dc.citation.spage	1225	en_US
dc.citation.volume	24	en_US
dc.citation.woscount	0
dc.contributor.author	Hashimoto, Ki-ichiro	en_US
dc.contributor.author	Long, Ling	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	2014-12-08T15:28:34Z
dc.date.available	2014-12-08T15:28:34Z
dc.date.issued	2012-11-01	en_US
dc.description.abstract	Let p be a prime congruent to 1 or 3 modulo 8 so that the equation p = a(2) + 2b(2) is solvable in integers. In this paper, we obtain closed-form expressions for a and b in terms of Jacobsthal sums. This is analogous to a classical identity of Jacobsthal.	en_US
dc.identifier.doi	10.1515/FORM.2011.102	en_US
dc.identifier.issn	0933-7741	en_US
dc.identifier.journal	FORUM MATHEMATICUM	en_US
dc.identifier.uri	http://dx.doi.org/10.1515/FORM.2011.102	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/20665
dc.identifier.wosnumber	WOS:000310692600004
dc.language.iso	en_US	en_US
dc.subject	Jacobsthal sum	en_US
dc.subject	hyperelliptic curve	en_US
dc.subject	L-function	en_US
dc.title	Jacobsthal identity for Q(root-2)	en_US
dc.type	Article	en_US

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