Brunotte, Horst; Huszti, Andrea; Pethő, Attila Bases of canonical number systems in quartic algebraic number fields. (English) Zbl 1193.11099 J. Théor. Nombres Bordx. 18, No. 3, 537-557 (2006). MSC: 11R04 11R16 11A63 11Y40 PDFBibTeX XMLCite \textit{H. Brunotte} et al., J. Théor. Nombres Bordx. 18, No. 3, 537--557 (2006; Zbl 1193.11099) Full Text: DOI Numdam Numdam EuDML EMIS
Herrmann, Emanuel; Pethö, Attila \(S\)-integral points on elliptic curves – notes on a paper of B. M. M. de Weger. (English) Zbl 1065.11014 J. Théor. Nombres Bordx. 13, No. 2, 443-451 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11J86 11G05 PDFBibTeX XMLCite \textit{E. Herrmann} and \textit{A. Pethö}, J. Théor. Nombres Bordx. 13, No. 2, 443--451 (2001; Zbl 1065.11014) Full Text: DOI Numdam EuDML EMIS
Dujella, Andrej; Pethő, Attila Integer points on a family of elliptic curves. (English) Zbl 0960.11019 Publ. Math. Debr. 56, No. 3-4, 321-335 (2000). MSC: 11D25 11G05 11D09 11Y50 PDFBibTeX XMLCite \textit{A. Dujella} and \textit{A. Pethő}, Publ. Math. Debr. 56, No. 3--4, 321--335 (2000; Zbl 0960.11019)
Pethő, Attila; Zimmer, Horst G. \(S\)-integer points on elliptic curves, theory and practice. (English) Zbl 0973.11107 Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 351-363 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{A. Pethő} and \textit{H. G. Zimmer}, in: Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30--September 5, 1998. Berlin: Walter de Gruyter. 351--363 (2000; Zbl 0973.11107)
Pethő, Attila; Zimmer, Horst G. On a system of norm-equations over cyclic cubic number fields. (English) Zbl 0911.11020 Publ. Math. Debr. 53, No. 3-4, 317-332 (1998). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D57 11R16 11R04 11R09 11G05 PDFBibTeX XMLCite \textit{A. Pethő} and \textit{H. G. Zimmer}, Publ. Math. Debr. 53, No. 3--4, 317--332 (1998; Zbl 0911.11020)
Gebel, J.; Pethö, A.; Zimmer, H. G. On Mordell’s equation. (English) Zbl 0899.11013 Compos. Math. 110, No. 3, 335-367 (1998). Reviewer: R.P.Steiner (Bowling Green) MSC: 11D25 11G05 14H52 14-04 11-04 PDFBibTeX XMLCite \textit{J. Gebel} et al., Compos. Math. 110, No. 3, 335--367 (1998; Zbl 0899.11013) Full Text: DOI
Gebel, J.; Pethö, A.; Zimmer, H. G. Computing integral points on Mordell’s elliptic curves. (English) Zbl 0865.11084 Collect. Math. 48, No. 1-2, 115-136 (1997). Reviewer: H.G.Zimmer (Saarbrücken) MSC: 11Y16 11G05 14H52 14Q05 11D25 PDFBibTeX XML Full Text: EuDML
Mignotte, M.; Pethö, A.; Lemmermeyer, F. On the family of Thue equations \(x^ 3 - (n-1)x^ 2y - (n+2)xy^ 2 - y^ 3 = k\). (English) Zbl 0862.11028 Acta Arith. 76, No. 3, 245-269 (1996). Reviewer: G.Lettl (Graz) MSC: 11D25 PDFBibTeX XMLCite \textit{M. Mignotte} et al., Acta Arith. 76, No. 3, 245--269 (1996; Zbl 0862.11028) Full Text: DOI EuDML
Gebel, Josef; Pethő, Attila; Zimmer, Horst G. Computing \(S\)-integral points on elliptic curves. (English) Zbl 0899.11012 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 157-171 (1996). Reviewer: R.P.Steiner (Bowling Green) MSC: 11D25 11G05 14H52 11-04 11J86 PDFBibTeX XMLCite \textit{J. Gebel} et al., Lect. Notes Comput. Sci. 1122, 157--171 (1996; Zbl 0899.11012)
Lettl, G.; Pethö, A. Complete solution of a family of quartic Thue equations. (English) Zbl 0853.11021 Abh. Math. Semin. Univ. Hamb. 65, 365-383 (1995). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11R16 11R27 11Y50 PDFBibTeX XMLCite \textit{G. Lettl} and \textit{A. Pethö}, Abh. Math. Semin. Univ. Hamb. 65, 365--383 (1995; Zbl 0853.11021) Full Text: DOI
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case. (English) Zbl 0853.11026 J. Number Theory 53, No. 1, 100-114 (1995). Reviewer: J.-H.Evertse (Leiden) MSC: 11D99 11Y40 11R16 11R80 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Number Theory 53, No. 1, 100--114 (1995; Zbl 0853.11026) Full Text: DOI
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in dihedral quartic number fields. (English) Zbl 0823.11074 Exp. Math. 3, No. 3, 245-254 (1994). Reviewer: J.-H.Evertse (Leiden) MSC: 11Y40 11D72 11R16 11B37 PDFBibTeX XMLCite \textit{I. Gaál} et al., Exp. Math. 3, No. 3, 245--254 (1994; Zbl 0823.11074) Full Text: DOI Euclid EuDML EMIS
Gebel, J.; Pethö, A.; Zimmer, H. G. Computing integral points on elliptic curves. (English) Zbl 0816.11019 Acta Arith. 68, No. 2, 171-192 (1994). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D25 11G05 11J86 11Y16 PDFBibTeX XMLCite \textit{J. Gebel} et al., Acta Arith. 68, No. 2, 171--192 (1994; Zbl 0816.11019) Full Text: DOI EuDML
Gaál, István; Pethö, Attila; Pohst, Michael On the resolution of index form equations in quartic number fields. (English) Zbl 0808.11023 J. Symb. Comput. 16, No. 6, 563-584 (1993). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11R16 11Y40 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Symb. Comput. 16, No. 6, 563--584 (1993; Zbl 0808.11023) Full Text: DOI Link
Pethö, Attila Systems of norm equations over cubic number fields. (English) Zbl 0804.11027 Grazer Math. Ber. 318, 111-120 (1993). Reviewer: V.Ennola (Turku) MSC: 11D57 11R16 11G05 PDFBibTeX XMLCite \textit{A. Pethö}, Grazer Math. Ber. 318, 111--120 (1993; Zbl 0804.11027)
Kovács, B.; Pethö, A. Number systems in integral domains, especially in orders of algebraic number fields. (English) Zbl 0760.11002 Acta Sci. Math. 55, No. 3-4, 287-299 (1991). Reviewer: I.Gaál (Debrecen) MSC: 11R04 11A63 11R16 PDFBibTeX XMLCite \textit{B. Kovács} and \textit{A. Pethö}, Acta Sci. Math. 55, No. 3--4, 287--299 (1991; Zbl 0760.11002)
Gaál, I.; Pethö, A.; Pohst, M. On the indices of biquadratic number fields having Galois group \(V_ 4\). (English) Zbl 0724.11049 Arch. Math. 57, No. 4, 357-361 (1991). Reviewer: István Gaál (Debrecen) MSC: 11R16 PDFBibTeX XMLCite \textit{I. Gaál} et al., Arch. Math. 57, No. 4, 357--361 (1991; Zbl 0724.11049) Full Text: DOI
Pethö, Attila Application of Gröbner bases to the resolution of systems of norm equations. (English) Zbl 0922.11116 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 144-150 (1991). MSC: 11Y50 13P10 11D57 11R16 PDFBibTeX XMLCite \textit{A. Pethö}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 144--150 (1991; Zbl 0922.11116)