Discriminants of fields generated by polynomials of given height. (English) Zbl 07871041
Reviewer: Günter Lettl (Graz)
Found 36 Documents (Results 1–36)
Publisher correction to: “A predicted distribution for Galois groups of maximal unramified extensions”. (English) Zbl 07870145
A predicted distribution for Galois groups of maximal unramified extensions. (English) Zbl 07870144
Invent. Math. 237, No. 1, 49-116 (2024); correction ibid. 237, No. 1, 117-120 (2024).
Reviewer: Kevin Keating (Gainesville)
On \(A_n \times C_m\)-unramified extensions over imaginary quadratic fields. (English) Zbl 07811186
Reviewer: Alessandro Cobbe (Neubiberg)
Splitting fields of \(X^n - X -1\) (particularly for \(n=5)\), prime decomposition and modular forms. (English) Zbl 07745033
Reviewer: Chun Yin Hui (Hong Kong)
Quadratic number fields with unramified \(\mathrm{SL}_2(5)\)-extensions. (English) Zbl 1523.11204
Reviewer: James E. Carter (Charleston)
Unramified extensions of quadratic number fields with certain perfect Galois groups. (English) Zbl 1514.12002
Reviewer: Noriko Yui (Kingston)
Number fields without universal quadratic forms of small rank exist in most degrees. (English) Zbl 1520.11047
Reviewer: Detlev Hoffmann (Dortmund)
Constructing unramified extensions over quadratic fields. (English) Zbl 1529.11110
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
Monogenic fields arising from trinomials. (English) Zbl 1515.11105
Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar)
On necessary and sufficient conditions for the monogeneity of a certain class of polynomials. (English) Zbl 1487.11097
Squarefree values of polynomial discriminants. I. (English) Zbl 1492.11150
Reviewer: Sami Omar (Sukhair)
Some new polynomial discriminant formulas. (English) Zbl 1483.11237
Reviewer: Toufik Zaïmi (Riyadh)
Some new infinite families of monogenic polynomials with non-squarefree discriminant. (English) Zbl 1465.11204
Reviewer: István Gaál (Debrecen)
On Galois extensions with prescribed decomposition groups. (English) Zbl 1465.11220
Reviewer: Francisco Pérez Acosta (La Laguna)
MSC:
11R32
Arithmetic Chern-Simons theory. II. (English) Zbl 1440.11207
Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7–13, 2017. Cham: Springer. Simons Symp., 81-128 (2020).
Unramified extensions over low degree number fields. (English) Zbl 1470.11293
Reviewer: Andreas Bender (Pavia)
On number fields with power-free discriminant. (English) Zbl 1455.11151
Reviewer: Mouad Moutaoukil (Fès)
Monogenic polynomials with non-squarefree discriminant. (English) Zbl 1436.11125
Reviewer: Władysław Narkiewicz (Wrocław)
On the discriminant of certain quadrinomials. (English) Zbl 1423.12011
Beshaj, Lubjana (ed.) et al., Algebraic curves and their applications. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 724, 55-72 (2019).
MSC:
12Y05
12E10
A brief note on some infinite families of monogenic polynomials. (English) Zbl 1461.11138
Reviewer: Artūras Dubickas (Vilnius)
Construction of unramified extensions with a prescribed solvable Galois group. (English) Zbl 1412.12003
Galois realizations with inertia groups of order two. (English) Zbl 1412.11136
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
Intersective \(S_n\) polynomials with few irreducible factors. (English) Zbl 1360.11120
Reviewer: Alessandro Cobbe (Neubiberg)
Pseudohermitian biminimal Legendre surfaces in the 5-dimensional sphere. (English) Zbl 1342.53084
Reviewer: Marian Hotloś (Wrocław)
Provably weak instances of Ring-LWE. (English) Zbl 1336.94046
Gennaro, Rosario (ed.) et al., Advances in cryptology – CRYPTO 2015. 35th annual cryptology conference, Santa Barbara, CA, USA, August 16–20, 2015. Proceedings. Part I. Berlin: Springer (ISBN 978-3-662-47988-9/pbk; 978-3-662-47989-6/ebook). Lecture Notes in Computer Science 9215, 63-92 (2015).
MSC:
94A60
Squarefree values of trinomial discriminants. (English) Zbl 1329.11103
Reviewer: Zaizhao Meng (Beijing)
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