Prime Hasse principles via diophantine second moments

Wang, Victor

Prime Hasse principles via diophantine second moments

Wang V. 2025. Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. 3(1), 1–26.

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2025_JAMR_Wang.pdf 1.09 MB [Published Version]

DOI

10.56994/JAMR.003.001.001

Journal Article | Published | English

Scopus indexed

Author

Wang, Victor^ISTA

Corresponding author has ISTA affiliation

Department

Browning Group

Grant

IST-BRIDGE: International postdoctoral program

Abstract

We show that almost all primes p =\= ± 4 mod9 are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is approachable under standard statistical hypotheses on geometric families of L-functions.

Publishing Year

2025

Date Published

2025-01-23

Journal Title

Journal of the Association for Mathematical Research

Publisher

Association for Mathematical Research

Acknowledgement

This work was partially supported by the European Union’s Horizon 2020 research and innovation program under the MarieSkłodowska-Curie Grant Agreement No. 101034413

Volume

Issue

Page

1-26

eISSN

2998-4114

IST-REx-ID

19673

Cite this

Wang V. Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. 2025;3(1):1-26. doi:10.56994/JAMR.003.001.001

Wang, V. (2025). Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. Association for Mathematical Research. https://doi.org/10.56994/JAMR.003.001.001

Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” Journal of the Association for Mathematical Research. Association for Mathematical Research, 2025. https://doi.org/10.56994/JAMR.003.001.001.

V. Wang, “Prime Hasse principles via diophantine second moments,” Journal of the Association for Mathematical Research, vol. 3, no. 1. Association for Mathematical Research, pp. 1–26, 2025.

Wang V. 2025. Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. 3(1), 1–26.

Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” Journal of the Association for Mathematical Research, vol. 3, no. 1, Association for Mathematical Research, 2025, pp. 1–26, doi:10.56994/JAMR.003.001.001.

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