Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
Author(s) -
Ayten Peki̇n
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/570154
Subject(s) - divisibility rule , mathematics , discriminant , prime (order theory) , quadratic equation , class (philosophy) , integer (computer science) , pure mathematics , the imaginary , class number , quadratic field , discrete mathematics , combinatorics , quadratic function , geometry , artificial intelligence , computer science , psychology , psychotherapist , programming language
We will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2g, where g>1 is an integer and the discriminant of such fields has only two prime divisors
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