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Solutions of some generalized Ramanujan-Nagell equations via binary quadratic forms

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Title Solutions of some generalized Ramanujan-Nagell equations via binary quadratic forms
 
Creator SARADHA, N
SRINIVASAN, A
 
Subject ramanujan-nagell equation
binary quadratic forms
class number
 
Description Let h be the class number of binary quadratic forms of discriminant -4d, where d is odd and I is the identity form x(2) + dy(2). Let lambda k(n) be represented by I, where lambda is a prime power represented by I and k is prime. Then we show that k(r) is represented by I for some r dividing h and representations of lambda k(n) by I arise out of the representations by I of lambda and k(r). As an application we solve several generalized Ramanujan-Nagell equations of the type x(2)+d=lambda k(n).
 
Publisher KOSSUTH LAJOS TUDOMANYEGYETEM
 
Date 2011-08-17T11:37:31Z
2011-12-26T12:55:31Z
2011-12-27T05:40:53Z
2011-08-17T11:37:31Z
2011-12-26T12:55:31Z
2011-12-27T05:40:53Z
2007
 
Type Article
 
Identifier PUBLICATIONES MATHEMATICAE-DEBRECEN, 71(3-4), 349-374
0033-3883
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9851
http://hdl.handle.net/10054/9851
 
Language en