2 citations · 2 across the 3 of their papers we have counts for
3 papers
cs.LG2026
Multiplication Beyond Groups: Stratified Fourier Mechanisms in Transformer Circuits
Zitong Andrew Chen, Junaid Hasan, Akhil Srinivasan +2
Transformers have demonstrated a remarkable ability to learn algorithmic reasoning, yet mechanistic analyses have mostly focused on globally invertible operations such as cyclic ad…
math.AG2024
Integral aspects of Fourier duality for abelian varieties
Junaid Hasan, Hazem Hassan, Milton Lin +3
We prove several results about integral versions of Fourier duality for abelian schemes, making use of Pappas's work on integral Grothendieck-Riemann-Roch. If is smooth quasi-p…
cs.CR2022★ 2 cited
Finding twin smooth integers by solving Pell equations
Jan Buzek, Junaid Hasan, Jason Liu +2
Any pair of consecutive B-smooth integers for a given smoothness bound B corresponds to a solution (x, y) of the equation x^2 - 2Dy^2 = 1 for a certain square-free, B-smooth intege…