Visualizing that a list is longer than shown on screen

I am working on an app where one of the actions a user can do is search for something and get presented with a list of all possible matches.

I am trying to wrap my head around how to make sure the user is aware that there are more items in the list than currently shown on the screen.

I thought about 2 things I could do:

  • Leave it as is and don't make users dumber than they are
  • Between the input field and the list beginning, add a text describing how many results are found.

Here is how the app looks now:

App