A recording medium is provided to authenticate a customer connected to the first web server with a wired terminal by receiving customer authentication information from a mobile terminal of the customer and allow connection of the customer based on an authentication result of the first web server if the customer connects to other web servers in the future. A receiving function receives the customer authentication information from the customer mobile terminal when wired terminal of the customer is connected. An authentication function authenticates the customer by using the received customer authentication information. A transmitting function transmits an authentication information request message including a callback URL(Uniform Resource Locator) to the customer mobile terminal through a mobile telecommunication company server. An authentication result transmitting function transmits the customer authentication information or authentication result information to the second web server if the wired terminal of the customer is connected to the second web server.