STNB2025( 38a edició)
On some recent progress of the Schinzel hypothesis over polynomial rings
Coordinació
Xerrades
- Review of Dirichlet's theorem on primes in arithmetic progressions (Alberto Fernandez Boix)
- Basics on Hilbertian fields (Alberto Fernandez Boix)
- Classic Hilbertian fields and Hilbertian rings (Alberto Fernandez Boix)
- The Schinzel hypothesis for some polynomial rings (Alberto Fernandez Boix)
Referències
\begin{thebibliography} \cite{Schinzelhypothesis} A. Schinzel and W. Sierpi ́nski. Sur certaines hypoth`eses concernant les nombres premiers. Acta Arith., 4:185–208; erratum 5 (1958), 259, 1958. \cite{bodin2020schinzel} A. Bodin, P. D`ebes, and S. Najib. The Schinzel hypothesis for polynomials. Trans. Amer. Math. Soc., 373(12):8339–8364, 2020. \cite{Murtyprogressions} M. Ram Murty and N. Thain. Prime numbers in certain arithmetic progressions. Funct. Approx. Comment. Math., 35:249–259, 2006. \cite{FriedJardenFieldArithmeticbook} M. D. Fried and M. Jarden. Field arithmetic, volume 11 of Ergebnisse der Mathematik und ihrer Grenzge- biete. 3. Folge. A Series of Modern Surveys in Mathematics. Springer, Cham, fourth edition, 2023. \end{thebibliography}
