⌘+K

Pulse Explore Communities Researchers Journals

Home Communities Explore

September 7, 2025Open Access

Hyperelliptic Shimura curves and L-functions of central vanishing order at least 3

View Full Paper

Ask AI

Bookmark

Share

Key Points

Triple product L-functions were derived from hyperelliptic shimura curves, indicating a significant theoretical advancement.
The central vanishing order for these functions was determined to be at least 3, providing new dimensions to existing theories.
This research utilizes advanced algebraic geometry concepts and methods to explore complex functions.
Findings highlight potential applications in number theory and the study of modular forms.

Implication

Analysis reveals triple product L-functions from hyperelliptic shimura curves, suggesting new insights into central vanishing orders.

Abstract

We use hyperelliptic Shimura curves to find triple product L-functions of Hilbert newforms with central vanishing orders proved to be at least 3.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Congling Qiu (2025) studied this question.

synapsesocial.com/papers/68ebffcfdef9fcb308ff2662 https://doi.org/10.48550/arxiv.2509.06175

View Full Paper

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1L-values of certain weight 3 modular forms and transformations of hypergeometric seriesOriginal Research · 2026 · 1 citations
2Hecke $L$-values, definite Shimura sets and Mod $\ell$ non-vanishing2024
3The Weyl bound for triple product L-functions in the cubic level2025
4Linear relations between $L$-values of newforms and moments of elliptic $K$ integral2025
5Ratios conjecture of quartic $L$-functions of prime moduli2024

More related papers

Quantitative level lowering for weight two Hilbert modular forms2024
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields2024
Extreme values of L$L$‐functions of newforms2024