2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165739In this paper, we give a proof of the classical Kronecker limit formulas using the distribution relation of the Eisenstein-Kronecker series. Using a similar idea, we then prove $p$-adic analogues of the Kronecker limit formulas for the $p$-adic Eisenstein-Kronecker functions defined in our previous paper.Number Theory11M35, 11M36, 11S80text