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On Admissible Set of Primes in Real Quadratic Fields

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Modular Forms and Related Topics in Number Theory (ICNT 2018)

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Abstract

The concept of admissible set of primes, as propounded by Ram Murty and his collaborators, has been instrumental in establishing Euclidean algorithm in certain Number fields. In this article, we consider two simple families of real quadratic fields and demonstrate how to construct admissible set of primes in them.

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Acknowledgements

The authors wish to thank the referee for some valuable suggestions. This work is partly supported by SERB MATRICS Project No. MTR /2017/001006.

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Correspondence to Kotyada Srinivas .

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Srinivas, K., Subramani, M. (2020). On Admissible Set of Primes in Real Quadratic Fields. In: Ramakrishnan, B., Heim, B., Sahu, B. (eds) Modular Forms and Related Topics in Number Theory. ICNT 2018. Springer Proceedings in Mathematics & Statistics, vol 340. Springer, Singapore. https://doi.org/10.1007/978-981-15-8719-1_15

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