You can write a lambda function with no arguments in Python by simply omitting the arguments section in the lambda function definition.
Here is an example:
f = lambda: print("Hello, world!")
f()
In this example, we define a lambda function that takes no arguments and simply prints "Hello, world!". We assign this function to the variable f, and then call f() to execute the function.
Note that even though the lambda function has no arguments, we still need to include the empty parentheses after the function name when we call it. This is because f() is a function call, and the parentheses are necessary to indicate that we want to execute the function.