Journal of the Ramanujan Mathematical Society

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Admissible Primes and Euclidean Quadratic Fields


Affiliations
1 Department of Mthematics and Statistics, Jeffery Hall, Queen’s University, Kingston, Ontario, K7L 3N6, Canada
2 Institute of Mathematical Sciences, HBNI, CIT Campus, Taramani, Chennai - 600113, India
3 Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Chennai - 603103, India
     

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Let K be a real quadratic field with ring of integers ΟK . We exhibit an infinite family of real quadratic fields K, such that ΟK contains an admissible set of primes with two elements.We then study the implications of this construction to the determination of Euclidean real quadratic fields and related questions.
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  • Admissible Primes and Euclidean Quadratic Fields

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Authors

M. Ram Murty
Department of Mthematics and Statistics, Jeffery Hall, Queen’s University, Kingston, Ontario, K7L 3N6, Canada
Kotyada Srinivas
Institute of Mathematical Sciences, HBNI, CIT Campus, Taramani, Chennai - 600113, India
Muthukrishnan Subramani
Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Chennai - 603103, India

Abstract


Let K be a real quadratic field with ring of integers ΟK . We exhibit an infinite family of real quadratic fields K, such that ΟK contains an admissible set of primes with two elements.We then study the implications of this construction to the determination of Euclidean real quadratic fields and related questions.

References