Arithmetic of differential equations

2020/39/B/ST1/00940

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Instytut Matematyczny Polskiej Akademii Nauk

Voivodeship: mazowieckie

Number of co-investigators in the project: 3

OPUS 20 – announced on 2020-09-15

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Frobenius constants for families of elliptic curves

Authors:
Bidisha Roy, Masha Vlasenko

Academic press:
The Quarterly Journal of Mathematics (year: 2023, volume: 74 (2023), issue 4, pages: 1571-1595), Publisher: OUP

Status:
Published

DOI:
10.1093/qmath/haad034 – link to the publication
Algebraicity modulo p of generalized hypergeometric series nFn−1

Authors:
Daniel Vargas-Montoya

Academic press:
Journal of Number Theory (year: 2024, volume: 259, pages: 273-321), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jnt.2024.01.004 – link to the publication
On p-integrality of instanton numbers

Authors:
Frits Beukers, Masha Vlasenko

Academic press:
Pure and Applied Mathematics Quarterly (year: 2023, volume: 19 (2023), volume 1, pages: 16254), Publisher: International press of Boston

Status:
Published

DOI:
10.48550/arXiv.2109.10427 – link to the publication
Dwork Crystals III: From Excellent Frobenius Lifts Towards Supercongruences

Authors:
Frits Beukers, Masha Vlasenko

Academic press:
International Mathematics Research Notices (year: 2023, volume: 23 (2023), pages: 20433-20483), Publisher: OUP

Status:
Published

DOI:
10.1093/imrn/rnad101 – link to the publication

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