Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier Uniform existential interpretation of arithmetic in rings of functions of positive characteristic. (English) Zbl 1327.03009 Invent. Math. 196, No. 2, 453-484 (2014). Reviewer: Mihai Prunescu (Bucharest) MSC: 03B25 11U05 12L05 PDFBibTeX XMLCite \textit{H. Pasten} et al., Invent. Math. 196, No. 2, 453--484 (2014; Zbl 1327.03009) Full Text: DOI arXiv
Pheidas, Thanases; Zahidi, Karim Decision problems in algebra and analogues of Hilbert’s tenth problem. (English) Zbl 1167.03008 Chatzidakis, Zoé (ed.) et al., Model theory with applications to algebra and analysis. Vol. 2. Cambridge: Cambridge University Press (ISBN 978-0-521-70908-8/pbk). London Mathematical Society Lecture Note Series 350, 207-235 (2008). Reviewer: J. M. Plotkin (East Lansing) MSC: 03B25 03C60 11U05 PDFBibTeX XMLCite \textit{T. Pheidas} and \textit{K. Zahidi}, Lond. Math. Soc. Lect. Note Ser. 350, 207--235 (2008; Zbl 1167.03008)
Pheidas, Thanases; Vidaux, Xavier The analogue of Büchi’s problem for cubes in rings of polynomials. (English) Zbl 1151.03004 Pac. J. Math. 238, No. 2, 349-366 (2008). MSC: 03B25 11E76 11U05 12L05 PDFBibTeX XMLCite \textit{T. Pheidas} and \textit{X. Vidaux}, Pac. J. Math. 238, No. 2, 349--366 (2008; Zbl 1151.03004) Full Text: DOI
Pheidas, Thanases; Zahidi, Karim Undecidability of existential theories of rings and fields: A survey. (English) Zbl 0981.03013 Denef, Jan (ed.) et al., Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2-5, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 270, 49-105 (2000). Reviewer: S.R.Kogalovskij (Ivanovo) MSC: 03B25 11U05 12L05 30E99 32A99 PDFBibTeX XMLCite \textit{T. Pheidas} and \textit{K. Zahidi}, Contemp. Math. 270, 49--105 (2000; Zbl 0981.03013)
Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.) Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. (English) Zbl 0955.00034 Contemporary Mathematics. 270. Providence, RI: American Mathematical Society (AMS). xii, 367 p. (2000). MSC: 00B25 03-06 11-06 PDFBibTeX XMLCite \textit{J. Denef} (ed.) et al., Hilbert's tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2--5, 1999. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0955.00034) Full Text: DOI
Lipshitz, Leonard; Pheidas, Thanases An analogue of Hilbert’s tenth problem for \(p\)-adic entire functions. (English) Zbl 0849.03007 J. Symb. Log. 60, No. 4, 1301-1309 (1995). Reviewer: T.Pheidas (Iraklion) MSC: 03B25 12L05 11U05 PDFBibTeX XMLCite \textit{L. Lipshitz} and \textit{T. Pheidas}, J. Symb. Log. 60, No. 4, 1301--1309 (1995; Zbl 0849.03007) Full Text: DOI
Pheidas, Thanases Extensions of Hilbert’s tenth problem. (English) Zbl 0812.11071 J. Symb. Log. 59, No. 2, 372-397 (1994). Reviewer: A.A.Mullin (Huntsville) MSC: 11U05 03B25 11D99 11-02 03-02 PDFBibTeX XMLCite \textit{T. Pheidas}, J. Symb. Log. 59, No. 2, 372--397 (1994; Zbl 0812.11071) Full Text: DOI
Pheidas, Thanases Hilbert’s tenth problem for fields of rational functions over finite fields. (English) Zbl 0696.12022 Invent. Math. 103, No. 1, 1-8 (1991). Reviewer: T.Pheidas MSC: 11U05 11R58 11D99 PDFBibTeX XMLCite \textit{T. Pheidas}, Invent. Math. 103, No. 1, 1--8 (1991; Zbl 0696.12022) Full Text: DOI EuDML
Pheidas, Thanases Hilbert’s tenth problem for a class of rings of algebraic integers. (English) Zbl 0697.12020 Proc. Am. Math. Soc. 104, No. 2, 611-620 (1988). Reviewer: D.Busneag MSC: 12L05 11D99 03B25 PDFBibTeX XMLCite \textit{T. Pheidas}, Proc. Am. Math. Soc. 104, No. 2, 611--620 (1988; Zbl 0697.12020) Full Text: DOI