Matches in SemOpenAlex for { <https://semopenalex.org/work/W2097825828> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2097825828 abstract "This article presents an algorithm for computing the regulator R = ln( ) for the quadratic order of conductor f in a real quadratic field Q( p 0) with fundamental discriminant 0 (so = f 2 0) and fundamental unit . The algorithm uses the continued fraction method to compute the regulator R 0 = ln( 0) for the ring of integers (which is also the maximal order) of the quadratic field with fundamental discriminant 0 and fundamental unit 0 . The algorithm uses theorems on linear recurrence relations to compute the ratio E of the regulator of the order of conductor f to the regulator of the maximal order. Of course regulators can be computed by applying the continued fraction algorithm to an appropriate quadratic irrational. For f > 1, the algorithm presented here is faster. For large fundamental discriminants there are faster methods than that presented here [14, 4]. We begin by giving mapping out our approach. For additional background see “Computing in Quadratic Orders” and “Linear Recurrences for Pell Equations.”" @default.
- W2097825828 created "2016-06-24" @default.
- W2097825828 creator A5057484032 @default.
- W2097825828 date "2007-01-01" @default.
- W2097825828 modified "2023-09-24" @default.
- W2097825828 title "FAST COMPUTATION OF THE REGULATOR OF AN ORDER IN A REAL QUADRATIC FIELD" @default.
- W2097825828 cites W1483006865 @default.
- W2097825828 cites W1496801598 @default.
- W2097825828 cites W1572007451 @default.
- W2097825828 cites W1981663184 @default.
- W2097825828 cites W2027875058 @default.
- W2097825828 cites W2031855337 @default.
- W2097825828 cites W2314596157 @default.
- W2097825828 cites W2319855712 @default.
- W2097825828 cites W2328970987 @default.
- W2097825828 cites W3203668817 @default.
- W2097825828 hasPublicationYear "2007" @default.
- W2097825828 type Work @default.
- W2097825828 sameAs 2097825828 @default.
- W2097825828 citedByCount "0" @default.
- W2097825828 crossrefType "journal-article" @default.
- W2097825828 hasAuthorship W2097825828A5057484032 @default.
- W2097825828 hasConcept C104317684 @default.
- W2097825828 hasConcept C11413529 @default.
- W2097825828 hasConcept C118615104 @default.
- W2097825828 hasConcept C126255220 @default.
- W2097825828 hasConcept C126949999 @default.
- W2097825828 hasConcept C129844170 @default.
- W2097825828 hasConcept C149629883 @default.
- W2097825828 hasConcept C154945302 @default.
- W2097825828 hasConcept C166437778 @default.
- W2097825828 hasConcept C178790620 @default.
- W2097825828 hasConcept C185592680 @default.
- W2097825828 hasConcept C202444582 @default.
- W2097825828 hasConcept C2524010 @default.
- W2097825828 hasConcept C28826006 @default.
- W2097825828 hasConcept C33923547 @default.
- W2097825828 hasConcept C41008148 @default.
- W2097825828 hasConcept C45374587 @default.
- W2097825828 hasConcept C55493867 @default.
- W2097825828 hasConcept C6929976 @default.
- W2097825828 hasConcept C78397625 @default.
- W2097825828 hasConcept C91575142 @default.
- W2097825828 hasConcept C95136341 @default.
- W2097825828 hasConcept C9652623 @default.
- W2097825828 hasConcept C98779006 @default.
- W2097825828 hasConceptScore W2097825828C104317684 @default.
- W2097825828 hasConceptScore W2097825828C11413529 @default.
- W2097825828 hasConceptScore W2097825828C118615104 @default.
- W2097825828 hasConceptScore W2097825828C126255220 @default.
- W2097825828 hasConceptScore W2097825828C126949999 @default.
- W2097825828 hasConceptScore W2097825828C129844170 @default.
- W2097825828 hasConceptScore W2097825828C149629883 @default.
- W2097825828 hasConceptScore W2097825828C154945302 @default.
- W2097825828 hasConceptScore W2097825828C166437778 @default.
- W2097825828 hasConceptScore W2097825828C178790620 @default.
- W2097825828 hasConceptScore W2097825828C185592680 @default.
- W2097825828 hasConceptScore W2097825828C202444582 @default.
- W2097825828 hasConceptScore W2097825828C2524010 @default.
- W2097825828 hasConceptScore W2097825828C28826006 @default.
- W2097825828 hasConceptScore W2097825828C33923547 @default.
- W2097825828 hasConceptScore W2097825828C41008148 @default.
- W2097825828 hasConceptScore W2097825828C45374587 @default.
- W2097825828 hasConceptScore W2097825828C55493867 @default.
- W2097825828 hasConceptScore W2097825828C6929976 @default.
- W2097825828 hasConceptScore W2097825828C78397625 @default.
- W2097825828 hasConceptScore W2097825828C91575142 @default.
- W2097825828 hasConceptScore W2097825828C95136341 @default.
- W2097825828 hasConceptScore W2097825828C9652623 @default.
- W2097825828 hasConceptScore W2097825828C98779006 @default.
- W2097825828 hasLocation W20978258281 @default.
- W2097825828 hasOpenAccess W2097825828 @default.
- W2097825828 hasPrimaryLocation W20978258281 @default.
- W2097825828 hasRelatedWork W1573566107 @default.
- W2097825828 hasRelatedWork W1592804047 @default.
- W2097825828 hasRelatedWork W1696991984 @default.
- W2097825828 hasRelatedWork W1968578268 @default.
- W2097825828 hasRelatedWork W1984445751 @default.
- W2097825828 hasRelatedWork W1996309927 @default.
- W2097825828 hasRelatedWork W2007424552 @default.
- W2097825828 hasRelatedWork W2023121669 @default.
- W2097825828 hasRelatedWork W2044908666 @default.
- W2097825828 hasRelatedWork W2055011230 @default.
- W2097825828 hasRelatedWork W2065440662 @default.
- W2097825828 hasRelatedWork W2086845931 @default.
- W2097825828 hasRelatedWork W2089939069 @default.
- W2097825828 hasRelatedWork W2135596970 @default.
- W2097825828 hasRelatedWork W2567302026 @default.
- W2097825828 hasRelatedWork W2947505063 @default.
- W2097825828 hasRelatedWork W2999196206 @default.
- W2097825828 hasRelatedWork W3105377629 @default.
- W2097825828 hasRelatedWork W3111513760 @default.
- W2097825828 hasRelatedWork W1679785057 @default.
- W2097825828 isParatext "false" @default.
- W2097825828 isRetracted "false" @default.
- W2097825828 magId "2097825828" @default.
- W2097825828 workType "article" @default.