# A note on p-adic Rankin--Selberg L-functions

**Authors:** David Loeffler

arXiv: 1704.04049 · 2018-12-12

## TL;DR

This paper establishes an interpolation formula for specific p-adic Rankin--Selberg L-functions linked to non-ordinary modular forms, advancing understanding in p-adic number theory and automorphic forms.

## Contribution

It provides a new interpolation formula for p-adic Rankin--Selberg L-functions associated with non-ordinary modular forms, a case less understood in prior research.

## Key findings

- Derived an explicit interpolation formula for p-adic L-functions.
- Extended the theory to non-ordinary modular forms.
- Enhanced tools for studying p-adic automorphic L-functions.

## Abstract

We prove an interpolation formula for the values of certain $p$-adic Rankin--Selberg $L$-functions associated to non-ordinary modular forms.

## Full text

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## References

21 references — full list in the complete paper: https://tomesphere.com/paper/1704.04049/full.md

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Source: https://tomesphere.com/paper/1704.04049