Debanjana Kundu

activity

20222024

most citedStudying Hilbert's 10th problem via explicit elliptic curves

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.NT2026

On a conjecture of Andrews and almost alternating sign patterns

Jayashree Kalita, Debanjana Kundu, Matthias Storzer +1

In this paper, we prove a sign phenomenon first observed by Andrews for certain $q$ -series from Ramanujan's Lost Notebook. For three of the series considered by Andrews, namely $v_…

math.NT2024

On the $p$ -ranks of class groups of certain Galois extensions

Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu +2

Let $p$ be an odd prime, let $N$ be a prime with $N \equiv 1 (mod p)$ , and let $ζ_{p}$ be a primitive $p$ -th root of unity. We study the $p$ -rank of the class group of $\mathbb{Q}(ζ…

math.NT2024

Beyond Endoscopy via Poisson Summation for GL(2,K)

Melissa Emory, Malors Espinosa-Lara, Debanjana Kundu +1

In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathema…

math.NT2023

Cotorsion of anti-cyclotomic Selmer groups on average

Debanjana Kundu, Florian Sprung

For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic $Z_{p}$ -extension as one varies the prime $p$ or the quadratic imaginary field…

math.NT2023

Non-vanishing modulo $p$ of Hecke $L$ -values over imaginary quadratic fields

Debanjana Kundu, Antonio Lei

Let $p$ and $q$ be two distinct odd primes. Let $K$ be an imaginary quadratic field over which $p$ and $q$ are both split. Let $Ψ$ be a Hecke character over $K$ of infinity type $(…

math.NT2023

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$

Debanjana Kundu, Antonio Lei

Fix two distinct odd primes $p$ and $q$ . We study " $p \neq = q$ " Iwasawa theory in two different settings. Let $K$ be an imaginary quadratic field of class number 1 such that both $p$ …

On a conjecture of Andrews and almost alternating sign patterns

On the p-ranks of class groups of certain Galois extensions

Beyond Endoscopy via Poisson Summation for GL(2,K)

Cotorsion of anti-cyclotomic Selmer groups on average

Non-vanishing modulo p of Hecke L-values over imaginary quadratic fields

Growth of p-parts of ideal class groups and fine Selmer groups in Zq​-extensions with p=q

On the $p$ -ranks of class groups of certain Galois extensions

Non-vanishing modulo $p$ of Hecke $L$ -values over imaginary quadratic fields

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$