Abhishek

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20072026

most citedThe TDHF code Sky3D version 1.2

18 citations · 35 across the 14 of their papers we have counts for

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math.NT2026

Variation of Iwasawa Invariants for Ordinary Representations

Abhishek, Chandrakant Aribam, Shiva Barman +1

Let $K$ be a number field and $p$ be an odd prime. Greenberg introduced a natural topology on the space of all $Z_{p}$ -extensions of $K$ and established several boundedness…

math.NT2026

Iwasawa invariants of Bertolini--Darmon theta elements

Abhishek, Jishnu Ray, Pronay Kumar Karmakar

In this article we study the Iwasawa invariants of Bertolini--Darmon theta elements in the anticyclotomic $Z_{p}$ -extension of an imaginary quadratic field $K$ for weight tw…

math.NT2025

2-Selmer companion modular forms

Abhishek, Somnath Jha, Sudhanshu Shekhar

Let $N$ be a positive integer and $K$ be a number field. Suppose that $f_{1}, f_{2} \in S_{k} (Γ_{0} (N))$ are two newforms such that their residual Galois representations at $2$ are isomorph…

math.NT2025

Class Groups and Selmer Groups in Special Families

Abhishek, Debanjana Kundu

We explore the relationship between (3-isogeny induced) Selmer group of an elliptic curve and the (3 part of) the ideal class group, over certain non-abelian number fields.