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math.NT2025
Class numbers of Imaginary bicyclic biquadratic number fields
Anuj Jakhar, Ravi Kalwaniya, Mahesh Kumar Ram
For any fixed positive integer , we provide a method to compute all imaginary bicyclic biquadratic number fields with class number , along with their class group structures,…
math.NT2025
Behaviour of Newton Polygon over polynomial composition
Anuj Jakhar, Shanta Laishram, Kotyada Srinivas +1
In this paper, we study the structure of Newton polygons for compositions of polynomials over the rationals. We establish sufficient conditions under which the successive vertices…