Sunil Kumar Pasupulati

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20232026

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math.NT2026

Statistics of the Genus Number of $S_{3} \times C_{q}$ and $D_{4}$ -fields

Anup B. Dixit, Sunil Kumar Pasupulati

The genus number of a number field is a fundamental invariant which measures the contribution of ramification to its ideal class group. In this paper, we establish the statistics f…

math.NT2025

Euclidean Algorithms for Ideal Classes in Biquadratic fields: A Genus-Theoretic Perspective

Sunil Kumar Pasupulati

We study Euclidean ideal classes in real biquadratic fields and obtain unconditional existence results via genus theory. Lenstra showed (assuming the Generalized Riemann Hypothesis…

math.NT2023

A collage of results on the divisibility and indivisibility of class numbers of quadratic fields

Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati, Muneeswaran R

The investigation of the ideal class group $C l_{K}$ of an algebraic number field $K$ is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithm…

Statistics of the Genus Number of S3​×Cq​ and D4​-fields

Euclidean Algorithms for Ideal Classes in Biquadratic fields: A Genus-Theoretic Perspective

A collage of results on the divisibility and indivisibility of class numbers of quadratic fields

Statistics of the Genus Number of $S_{3} \times C_{q}$ and $D_{4}$ -fields