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math.NT2026
An infinite family of imaginary biquadratic fields with a large class number
Kalyan Chakraborty, Pratik Rao, Aishwarya Dabhole
We construct an infinite family of imaginary biquadratic fields with large class numbers. The construction of this family is done by composing two distinct families of imaginary qu…
math.NT2026
On the class number of certain cyclotomic fields
Kalyan Chakraborty, Pratik Rao
We construct four infinite families of cyclotomic fields and show that each member of these families has class number a multiple of 3. In fact, we show that the class number of the…