Discriminants of fields generated by polynomials of given height
From MaRDI portal
Publication:6561659
DOI10.1007/S11856-023-2557-XMaRDI QIDQ6561659
Rainer Dietmann, Alina Ostafe, Igor E. Shparlinski
Publication date: 25 June 2024
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Asymptotic results on counting functions for algebraic and topological structures (11N45) Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- On convex hull of points on modular hyperbolas
- Distribution of polynomial discriminants modulo a prime
- Error estimates for the Davenport-Heilbronn theorems
- The square sieve and consecutive square-free numbers
- Factorization of polynomials over finite fields
- Squarefree values of multivariable polynomials
- On a new property of the discriminants of algebraic number fields
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- A note on exponential-Möbius sums over \(\mathbb{F}_q [t]\)
- Squarefree values of polynomial discriminants. I
- Monogenic fields arising from trinomials
- The number of extensions of a number field with fixed degree and bounded discriminant
- Seltenheit der Gleichungen mit Affekt bei linearem Parameter
- On coefficient restrictions of affectless equations
- The number of integral points on arcs and ovals
- A proof of van der Waerden's conjecture on random Galois groups of polynomials
- A construction of polynomials with squarefree discriminants
- THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD
- ON THE DISTRIBUTION OF GALOIS GROUPS
- Counting squarefree discriminants of trinomials under abc
- On a theorem of Stickelberger
- On quadratic fields generated by discriminants of irreducible trinomials
- Reducible Polynomials
- General Trinomials Having Symmetric Galois Group
- A mean value estimate for real character sums
- Upper bounds for the number of number fields with alternating Galois group
- Probabilistic Galois theory
- Monogenic trinomials with non-squarefree discriminant
- Monogenic polynomials with non-squarefree discriminant
- LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER
- A BRIEF NOTE ON SOME INFINITE FAMILIES OF MONOGENIC POLYNOMIALS
- On the discriminant of certain quadrinomials
- Estimates for Nonsingular Mixed Character Sums
- Equality of Polynomial and Field Discriminants
- Quantitative Hilbert Irreducibility and Almost Prime Values of Polynomial Discriminants
- Counting rational points on projective varieties
This page was built for publication: Discriminants of fields generated by polynomials of given height
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6561659)
