Writing L-functions in Python (or any other language)

[DAntanov]

TL;DR

I am interested in the steps to implement L-functions (of any kind) in python.

Not many code examples exist for how one would go about writing an L-function. Can anyone give me a step-by-step run down of how to do this and/or link me to relevant resources?

 

[FactChecker]

CORRECTION: This misinterprets what the OP meant by L-function. (See posts #6 and #7)
Here is a simple example in many languages, including Python.
[CODE lang="python" title="A Python L-function"]def adder(x):
return lambda y: x + y
add5 = adder(5)
add5(1)
6
[/CODE]

 

[martinbn]

What kind of L-functions are we talking about? At first I assumed it was automorphic, but after the first reply I am lost.

 

[Mark44]

What kind of L-functions are we talking about? At first I assumed it was automorphic, but after the first reply I am lost.

My guess is that the OP is asking about lambda functions. @FactChecker is making the same assumption.

 

[Mark44]

TL;DR Summary: I am interested in the steps to implement L-functions (of any kind) in python.

Not many code examples exist for how one would go about writing an L-function.

Assuming that what you're really asking about are lambda functions, there are tons of examples online. Here are just a few (search string -- python lambda function)
https://www.w3schools.com/python/python_lambda.asp
https://realpython.com/python-lambda/
https://www.programiz.com/python-programming/anonymous-function
https://www.learnbyexample.org/python-lambda-function/

Many other programming languages also provide support for user-defined lambda functions.

 

[pasmith]

If the OP means Dirichlet L-functions, then chapters 25 and 27 of the NIST Digital Library of Mathematical Functions seem to be a good place to start. However since none of the Methods of Computation, Tables, or Software sections mention Dirichlet L-functions - except § 25.21(ix) which states "No research software has been found for these functions" - I suspect they have not been implemented in any language.

 

[DAntanov]

If the OP means Dirichlet L-functions, then chapters 25 and 27 of the NIST Digital Library of Mathematical Functions seem to be a good place to start. However since none of the Methods of Computation, Tables, or Software sections mention Dirichlet L-functions - except § 25.21(ix) which states "No research software has been found for these functions" - I suspect they have not been implemented in any language.

This elaborates my question perfectly. I'm sorry for the vague language in my last post. I am curious about automorphic and Dirichlet L-functions, and became very lost after the first few replies here. I stumbled upon these fairly plain implementations on github: https://github.com/JamesShakarji/L-Function-Types