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A NOTE ON GIRSTMAIR’S IRREDUCIBILITY CRITERION

Published online by Cambridge University Press:  04 November 2021

JITENDER SINGH
Affiliation:
Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, India e-mail: [email protected]
SANJEEV KUMAR*
Affiliation:
Department of Mathematics, SGGS College, Sector 26, Chandigarh 160019, India

Abstract

Girstmair [‘On an irreducibility criterion of M. Ram Murty’, Amer. Math. Monthly 112(3) (2005), 269–270] gave a generalisation of Ram Murty’s irreducibility criterion. We further generalise these criteria.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

This research is supported by the Science and Engineering Research Board (SERB), a statutory body of the Department of Science and Technology (DST), Government of India, through the project grant no. MTR/2017/000575 awarded to the first author under the MATRICS scheme.

References

Girstmair, K., ‘On an irreducibility criterion of M. Ram Murty’, Amer. Math. Monthly 112(3) (2005), 269270.CrossRefGoogle Scholar
Ram Murty, M., ‘Prime numbers and irreducible polynomials’, Amer. Math. Monthly 109(5) (2002), 452458.Google Scholar
Singh, J. and Kumar, S., ‘A new class of irreducible polynomials’, Comm. Algebra 49(6) (2021), 27222727.Google Scholar