3 papers
math.NT2026
An approach to the Lindelöf Hypothesis for Dirichlet -functions
Yuri Matiyasevich
The suggested approach is based on a known representation of Dirichlet -functions via the incomplete gamma functions. Some properties of the Taylor coefficients of the lower inc…
math.NT2025
Undecidability on Diophantine equations over with unknowns
Yuri Matiyasevich, Zhi-Wei Sun
It is known that Hilbert's Tenth Problem over the Gaussian ring is undecidable. In this paper we obtain the following further result: Ther…
math.NT2025
Diophantine Equations over : Universal Bounds and Parallel Formalization
Jonas Bayer, Marco David, Malte Hassler +2
This paper explores multiple closely related themes: bounding the complexity of Diophantine equations over the integers and developing mathematical proofs in parallel with formal t…