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Anuj Jakhar
On Schur's irreducibility results and extended Hermite polynomials
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| Published: |
February 18, 2026. |
| Keywords: |
Irreducibility, Hermite polynomials, Newton polygons. |
| Subject [2010]: |
11C08. |
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Abstract
We generalize a well-known result of Schur's concerning the irreducibility of
certain polynomials over the rational field. To establish our results, we use
a beautiful result of Jindal and Khanduja and several number-theoretic results
related to prime numbers. We illustrate our results with examples.
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| Acknowledgements
The author acknowledges financial support from the IIT Madras
through the NFSG grant IP24251024MANFSC009034 and ANRF Matrics grant ANRF/ARGM/2025/000214/MTR
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| Author information
Anuj Jakhar
Department of Mathematics
Indian Institute of Technology Madras
Chennai, Tamil Nadu 600036, India
anujjakhar@smail.iitm.ac.in
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