# Special hypergeometric motives and their $L$-functions: Asai recognition

**Authors:** Lassina Demb\'el\'e, Alexei Panchishkin, John Voight, Wadim Zudilin

arXiv: 1906.07384 · 2022-12-02

## TL;DR

This paper identifies special hypergeometric motives as arising from Asai L-functions of Hilbert modular forms, connecting classical Ramanujan-inspired motives with modern automorphic forms.

## Contribution

It establishes a novel link between hypergeometric motives and Asai L-functions, expanding the understanding of their origins and properties.

## Key findings

- Hypergeometric motives are related to Asai L-functions.
- Connection between classical motives and automorphic forms.
- New insights into the structure of special motives.

## Abstract

We recognize certain special hypergeometric motives, related to and inspired by the discoveries of Ramanujan more than a century ago, as arising from Asai $L$-functions of Hilbert modular forms.

## Full text

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## References

39 references — full list in the complete paper: https://tomesphere.com/paper/1906.07384/full.md

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Source: https://tomesphere.com/paper/1906.07384