Publications [#386706] of Samit Dasgupta

Papers Published

1. Dasgupta, S; Kakde, M, Ranks of matrices of logarithms of algebraic numbers II: The matrix coefficient conjecture, Advances in Mathematics, vol. 487 (March, 2026) [doi]
   (last updated on 2026/02/01)

   Abstract:
   Many questions in number theory concern the nonvanishing of determinants of square matrices of logarithms (complex or p -adic) of algebraic numbers. We present a new conjecture that states that if such a matrix has vanishing determinant, then after a rational change of basis on the left and right, it can be made to have a vanishing coefficient.