Rishabh Agnihotri

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math.NT2024

Determination of Hilbert modular forms using squarefree coefficients

Rishabh Agnihotri, Krishnarjun Krishnamoorthy

Let $F$ (over $Q$ ) be a totally real number field of narrow class number $1$ . We generalize a result of Kohnen on the determination of half integral weight modular forms b…

math.NT2019

Primary rank of the class group of real cyclotomic fields

Rishabh Agnihotri, Kalyan Chakraborty, Mohit Mishra

Let $H = Q (ζ_{n} + ζ_{n}^{- 1})$ and $ℓ$ be an odd prime such that $q \equiv 1 (mod ℓ)$ for some prime factor $q$ of $n$ . We get a bound on the $ℓ$ -rank of the cl…