An electronic signature is the digital counterpart of the signature you put on paper: under Turkey's Electronic Signature Law No. 5070, a secure electronic signature has the same legal effect as a handwritten one. It comes in two forms: an e-signature carried on a smart card or USB token that you plug into a computer, and a mobile signature that works through your phone's SIM card.
You can obtain either one yourself. The e-signature comes from an electronic certificate service provider authorised by BTK, the mobile signature from the mobile operator your line belongs to. This guide covers the whole route: application, installation, logging in to e-Devlet, signing PDFs, and revoking the certificate if it is lost.