The discussion centers on the implementation of L-functions in Python, specifically addressing confusion between lambda functions and Dirichlet or automorphic L-functions. Users provided examples of lambda functions in Python, highlighting the lack of code examples for Dirichlet L-functions. Resources such as the NIST Digital Library of Mathematical Functions were recommended for further reading on Dirichlet L-functions, although it was noted that no research software currently exists for these functions. The conversation emphasizes the need for clarity in defining the type of L-function being discussed.
PREREQUISITESMathematicians, Python developers, and researchers interested in implementing L-functions, particularly those exploring Dirichlet and automorphic types.
My guess is that the OP is asking about lambda functions. @FactChecker is making the same assumption.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.
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)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.
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-Typespasmith 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.