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pro vyhledávání: '"11D59, 11D57"'
Autor:
Gaál, István
Publikováno v:
published, Axioms 2024
Monogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area. Several of the listed results were presented at a series of online conf
Externí odkaz:
http://arxiv.org/abs/2407.00374
Publikováno v:
Glasnik Matematicki, Vol. 55, No. 2 (2020), 191-194
We significantly improve our results of Glas. Mat., III. Ser. 53(2018), No. 2, 229-238, reducing relative Thue inequalities to absolute ones.
Externí odkaz:
http://arxiv.org/abs/2102.12883
Let $F(x,y)$ be an irreducible binary form of degree $\geq 3$ with integer coefficients and with real roots. Let $M$ be an imaginary quadratic field, with ring of integers $Z_M$. Let $K>0$. We describe an efficient method how to reduce the resolution
Externí odkaz:
http://arxiv.org/abs/1810.08407
The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known. The family of simplest cubic Thue equations was already studied in the relative case, over imaginary quadratic fields. In the p
Externí odkaz:
http://arxiv.org/abs/1810.08411
Publikováno v:
International Journal of Number Theory. 15:11-27
The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known, see G. Lettl, A. Pethő and P. Voutier, Simple families of Thue inequalities, Trans. Amer. Math. Soc. 351 (1999) 1871–1894, O
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e4c0e7f52a8e68bff0d05ee0205b717
https://doi.org/10.1142/s1793042118501695
https://doi.org/10.1142/s1793042118501695
Publikováno v:
Glasnik matematički
Volume 55
Issue 2
Volume 55
Issue 2
We significantly improve our results of Glas. Mat., III. Ser. 53(2018), No. 2, 229-238, reducing relative Thue inequalities to absolute ones.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eb515c56b5586b8de2bf6cab144190e
https://doi.org/10.3336/gm.55.2.02
https://doi.org/10.3336/gm.55.2.02
Publikováno v:
Glasnik matematički
Volume 53
Issue 2
Volume 53
Issue 2
Let $F(x,y)$ be an irreducible binary form of degree $\geq 3$ with integer coefficients and with real roots. Let $M$ be an imaginary quadratic field, with ring of integers $Z_M$. Let $K>0$. We describe an efficient method how to reduce the resolution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc8580d539d9b43889fbe074231200fc
https://hrcak.srce.hr/214473
https://hrcak.srce.hr/214473