Uneingeschränkter Zugang

Reciprocal Monogenic Septinomials of Degree 2n3

   | 21. Feb. 2024

Zitieren

H. Cohen, A Course in Computational Algebraic Number Theory, Graduate Texts in Mathematics, 138, Springer-Verlag, Berlin, 2000. Search in Google Scholar

J. Cullinan, The discriminant of a composition of two polynomials. Avaliable at https://studylib.net Search in Google Scholar

J.B. Dence and T.P. Dence, Elements of the Theory of Numbers, Harcourt/Academic Press, San Diego, CA, 1999. Search in Google Scholar

N.H. Guersenzvaig, Elementary criteria for irreducibility of f (Xr), Israel J. Math. 169 (2009), 109–123. Search in Google Scholar

J. Harrington and L. Jones, Monogenic cyclotomic compositions, arXiv preprint, 2019. Available at arXiv: 1909.03541 Search in Google Scholar

H.A. Helfgott, Square-free values of f(p), f cubic, Acta Math. 213 (2014), no. 1, 107–135. Search in Google Scholar

C. Hooley, Applications of Sieve Methods to the Theory of Numbers, Cambridge Tracts in Mathematics, No. 70, Cambridge University Press, Cambridge-New York-Melbourne, 1976. Search in Google Scholar

L. Jones, Infinite families of reciprocal monogenic polynomials and their Galois groups, New York J. Math. 27 (2021), 1465–1493. Search in Google Scholar

L. Jones, Reciprocal monogenic quintinomials of degree 2n, Bull. Aust. Math. Soc. 106 (2022), no. 3, 437–447. Search in Google Scholar

J. Neukirch, Algebraic Number Theory, Grundlehren Math. Wiss., 322 [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin, 1999. Search in Google Scholar

H. Pasten, The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments, Int. J. Number Theory 11 (2015), no. 3, 721–737. Search in Google Scholar

L.C. Washington, Introduction to Cyclotomic Fields, Second edition, Graduate Texts in Mathematics, 83, Springer-Verlag, New York, 1997. Search in Google Scholar

eISSN:
2391-4238
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
2 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines