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

  • #1
DAntanov
5
1
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. Can anyone give me a step-by-step run down of how to do this and/or link me to relevant resources?
 
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  • #2
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.
A Python L-function:
def adder(x):
    return lambda y: x + y
add5 = adder(5)
add5(1)
6
 
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  • #3
What kind of L-functions are we talking about? At first I assumed it was automorphic, but after the first reply I am lost.
 
  • #4
martinbn said:
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.
 
  • #5
DAntanov said:
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.
 
  • #6
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.
 
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  • #7
pasmith said:
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
 
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