S. Muthukrishnan

most citedA note on Euclidean cyclic cubic fields

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2019

On the simultaneous $3$ -divisibility of class numbers of triples of imaginary quadratic fields

Jaitra Chattopadhyay, Subramani Muthukrishnan

Let $k \geq 1$ be a cube-free integer with $k \equiv 1 (mod 9)$ and $g cd (k, 7 \cdot 571) = 1$ . In this paper, we prove the existence of infinitely many triples of imaginary quadrat…

math.NT2018

Biquadratic fields having a non-principal euclidean ideal class

Jaitra Chattopadhyay, Subramani Muthukrishnan

H. W. Lenstra \cite{lenstra} introduced the notion of an Euclidean ideal class, which is a generalization of norm-Euclidean ideals in number fields. Later, families of number field…

math.NT2017★ 4 cited

A note on Euclidean cyclic cubic fields

Srinivas Kotyada, Subramani Muthukrishnan

Let $K$ be a cyclic cubic field and $O_{K}$ be its ring of integers. In this note we prove that all cyclic cubic number fields with conductors in the interval $ [73, 11971]…

On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields

Biquadratic fields having a non-principal euclidean ideal class

A note on Euclidean cyclic cubic fields

On the simultaneous $3$ -divisibility of class numbers of triples of imaginary quadratic fields