Santicola, Katerina Reverse engineered Diophantine equations over \(\mathbb{Q}\). (English. French summary) Zbl 07824612 J. Théor. Nombres Bordx. 35, No. 3, 897-904 (2024). MSC: 11D41 11D61 PDFBibTeX XMLCite \textit{K. Santicola}, J. Théor. Nombres Bordx. 35, No. 3, 897--904 (2024; Zbl 07824612) Full Text: DOI arXiv
Bennett, Michael A.; Michaud-Jacobs, Philippe; Siksek, Samir \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation. (English. French summary) Zbl 07750329 J. Théor. Nombres Bordx. 35, No. 2, 495-510 (2023). MSC: 11D41 11D61 11F80 11G05 PDFBibTeX XMLCite \textit{M. A. Bennett} et al., J. Théor. Nombres Bordx. 35, No. 2, 495--510 (2023; Zbl 07750329) Full Text: DOI arXiv
Yoshizaki, Hyuga Generalized Pell’s equations and Weber’s class number problem. (English. French summary) Zbl 07750324 J. Théor. Nombres Bordx. 35, No. 2, 373-391 (2023). Reviewer: Günter Lettl (Graz) MSC: 11R18 11R23 11J70 11D09 PDFBibTeX XMLCite \textit{H. Yoshizaki}, J. Théor. Nombres Bordx. 35, No. 2, 373--391 (2023; Zbl 07750324) Full Text: DOI arXiv
Alfaraj, Abdulmuhsin On the finiteness of perfect powers in elliptic divisibility sequences. (English) Zbl 1525.11026 J. Théor. Nombres Bordx. 35, No. 1, 247-258 (2023). Reviewer: Hayder Hashim (Kufa) MSC: 11B83 11D61 11G05 PDFBibTeX XMLCite \textit{A. Alfaraj}, J. Théor. Nombres Bordx. 35, No. 1, 247--258 (2023; Zbl 1525.11026) Full Text: DOI arXiv
Huang, Tinghao; Lalín, Matilde; Mila, Olivier Spherical Heron triangles and elliptic curves. (English) Zbl 07682960 J. Théor. Nombres Bordx. 35, No. 1, 219-246 (2023). Reviewer: Sungkon Chang (Savannah) MSC: 11G05 14J27 14J28 14H52 11D25 PDFBibTeX XMLCite \textit{T. Huang} et al., J. Théor. Nombres Bordx. 35, No. 1, 219--246 (2023; Zbl 07682960) Full Text: DOI arXiv
Vukusic, Ingrid; Ziegler, Volker On a family of unit equations over simplest cubic fields. (English. French summary) Zbl 1516.11042 J. Théor. Nombres Bordx. 34, No. 3, 705-718 (2023). Reviewer: Anitha Srinivasan (Madrid) MSC: 11D61 11D75 11J86 PDFBibTeX XMLCite \textit{I. Vukusic} and \textit{V. Ziegler}, J. Théor. Nombres Bordx. 34, No. 3, 705--718 (2023; Zbl 1516.11042) Full Text: DOI arXiv
Santens, Tim Integral points on affine quadric surfaces. (English. French summary) Zbl 1502.11075 J. Théor. Nombres Bordx. 34, No. 1, 141-161 (2022). MSC: 11G35 11D09 14G05 14G12 PDFBibTeX XMLCite \textit{T. Santens}, J. Théor. Nombres Bordx. 34, No. 1, 141--161 (2022; Zbl 1502.11075) Full Text: DOI arXiv
Yamada, Tomohiro On finiteness of odd superperfect numbers. (English. French summary) Zbl 1469.11011 J. Théor. Nombres Bordx. 32, No. 1, 259-274 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A25 11A05 11D61 11J86 PDFBibTeX XMLCite \textit{T. Yamada}, J. Théor. Nombres Bordx. 32, No. 1, 259--274 (2020; Zbl 1469.11011) Full Text: DOI arXiv
Comtat, Félicien A uniform estimate for the density of rational points on quadrics. (English. French summary) Zbl 1480.11038 J. Théor. Nombres Bordx. 31, No. 1, 243-253 (2019). Reviewer: Emiliano Ambrosi (Strasbourg) MSC: 11D45 11D09 11E12 PDFBibTeX XMLCite \textit{F. Comtat}, J. Théor. Nombres Bordx. 31, No. 1, 243--253 (2019; Zbl 1480.11038) Full Text: DOI arXiv
Xiao, Stanley Yao On binary cubic and quartic forms. (English. French summary) Zbl 1478.11061 J. Théor. Nombres Bordx. 31, No. 2, 323-341 (2019). Reviewer: Cindy Tsang (Tokyo) MSC: 11E76 08A35 11D25 PDFBibTeX XMLCite \textit{S. Y. Xiao}, J. Théor. Nombres Bordx. 31, No. 2, 323--341 (2019; Zbl 1478.11061) Full Text: DOI arXiv
He, Bo; Pu, Keli; Shen, Rulin; Togbé, Alain A note on the regularity of the Diophantine pair \(\{k, 4k \pm 4 \}\). (English. French summary) Zbl 1446.11050 J. Théor. Nombres Bordx. 30, No. 3, 879-892 (2018). Reviewer: István Gaál (Debrecen) MSC: 11D09 11B37 11J68 11J86 11Y65 PDFBibTeX XMLCite \textit{B. He} et al., J. Théor. Nombres Bordx. 30, No. 3, 879--892 (2018; Zbl 1446.11050) Full Text: DOI
Hoshi, Akinari Complete solutions to a family of Thue equations of degree 12. (English. French summary) Zbl 1410.11024 J. Théor. Nombres Bordx. 29, No. 2, 549-568 (2017). MSC: 11D41 11D59 11R21 PDFBibTeX XMLCite \textit{A. Hoshi}, J. Théor. Nombres Bordx. 29, No. 2, 549--568 (2017; Zbl 1410.11024) Full Text: DOI
Togbé, Alain Corrigendum to “Complete solutions of a family of cubic Thue equations”. (English. French summary) Zbl 1411.11033 J. Théor. Nombres Bordx. 28, No. 1, 287-288 (2016). MSC: 11D59 11Y50 PDFBibTeX XMLCite \textit{A. Togbé}, J. Théor. Nombres Bordx. 28, No. 1, 287--288 (2016; Zbl 1411.11033) Full Text: DOI
Scott, Reese; Styer, Robert Bennett’s Pillai theorem with fractional bases and negative exponents allowed. (English. French summary) Zbl 1390.11073 J. Théor. Nombres Bordx. 27, No. 1, 289-307 (2015). Reviewer: Lajos Hajdu (Debrecen) MSC: 11D61 PDFBibTeX XMLCite \textit{R. Scott} and \textit{R. Styer}, J. Théor. Nombres Bordx. 27, No. 1, 289--307 (2015; Zbl 1390.11073) Full Text: DOI Link
Levesque, Claude; Waldschmidt, Michel A family of Thue equations involving powers of units of the simplest cubic fields. (English. French summary) Zbl 1395.11059 J. Théor. Nombres Bordx. 27, No. 2, 537-563 (2015). MSC: 11D59 11D25 11J86 PDFBibTeX XMLCite \textit{C. Levesque} and \textit{M. Waldschmidt}, J. Théor. Nombres Bordx. 27, No. 2, 537--563 (2015; Zbl 1395.11059) Full Text: DOI arXiv
Bennett, Michael A.; Ghadermarzi, Amir Extremal families of cubic Thue equations. (English. French summary) Zbl 1395.11049 J. Théor. Nombres Bordx. 27, No. 2, 389-403 (2015). MSC: 11D25 11E76 11J86 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{A. Ghadermarzi}, J. Théor. Nombres Bordx. 27, No. 2, 389--403 (2015; Zbl 1395.11049) Full Text: DOI arXiv
Akhtari, Shabnam Integral points on a certain family of elliptic curves. (English. French summary) Zbl 1395.11048 J. Théor. Nombres Bordx. 27, No. 2, 353-373 (2015). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11D25 11D45 11D59 11D75 11G05 11J86 PDFBibTeX XMLCite \textit{S. Akhtari}, J. Théor. Nombres Bordx. 27, No. 2, 353--373 (2015; Zbl 1395.11048) Full Text: DOI arXiv
Schindler, Damaris Bihomogeneous forms in many variables. (English. French summary) Zbl 1425.11055 J. Théor. Nombres Bordx. 26, No. 2, 483-506 (2014). MSC: 11D45 11D72 11P55 PDFBibTeX XMLCite \textit{D. Schindler}, J. Théor. Nombres Bordx. 26, No. 2, 483--506 (2014; Zbl 1425.11055) Full Text: DOI arXiv
Leonetti, Paolo; Tringali, Salvatore On a system of equations with primes. (English. French summary) Zbl 1370.11002 J. Théor. Nombres Bordx. 26, No. 2, 399-413 (2014). Reviewer: Florian Luca (Morelia) MSC: 11A05 11A41 11A51 11D61 11D79 11R27 PDFBibTeX XMLCite \textit{P. Leonetti} and \textit{S. Tringali}, J. Théor. Nombres Bordx. 26, No. 2, 399--413 (2014; Zbl 1370.11002) Full Text: DOI arXiv
de la Bretèche, Régis; Browning, Tim Counter-examples to the Hasse principle among certain coflasque tori. (Contre-exemples au principe de Hasse pour certains tores coflasques.) (French. English summary) Zbl 1365.11035 J. Théor. Nombres Bordx. 26, No. 1, 25-44 (2014). Reviewer: Stefan Schröer (Düsseldorf) MSC: 11D99 11G35 14G05 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{T. Browning}, J. Théor. Nombres Bordx. 26, No. 1, 25--44 (2014; Zbl 1365.11035) Full Text: DOI arXiv
Xarles, Xavier Trivial points on towers of curves. (English. French summary) Zbl 1294.11109 J. Théor. Nombres Bordx. 25, No. 2, 477-498 (2013). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G30 11G20 11B39 11D45 14G25 PDFBibTeX XMLCite \textit{X. Xarles}, J. Théor. Nombres Bordx. 25, No. 2, 477--498 (2013; Zbl 1294.11109) Full Text: DOI arXiv
Scott, Reese; Styer, Robert The number of solutions to the generalized Pillai equation \(\pm ra^{x} \pm sb^{y}=c\). (English. French summary) Zbl 1271.11038 J. Théor. Nombres Bordx. 25, No. 1, 179-210 (2013). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 PDFBibTeX XMLCite \textit{R. Scott} and \textit{R. Styer}, J. Théor. Nombres Bordx. 25, No. 1, 179--210 (2013; Zbl 1271.11038) Full Text: DOI arXiv
Levin, Aaron Siegel’s theorem and the Shafarevich conjecture. (English. French summary) Zbl 1271.11065 J. Théor. Nombres Bordx. 24, No. 3, 705-727 (2012). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G30 11G10 11D41 11D45 PDFBibTeX XMLCite \textit{A. Levin}, J. Théor. Nombres Bordx. 24, No. 3, 705--727 (2012; Zbl 1271.11065) Full Text: DOI arXiv
Browning, Tim The divisor problem for binary cubic forms. (English. French summary) Zbl 1271.11091 J. Théor. Nombres Bordx. 23, No. 3, 579-602 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N37 11N32 11D25 PDFBibTeX XMLCite \textit{T. Browning}, J. Théor. Nombres Bordx. 23, No. 3, 579--602 (2011; Zbl 1271.11091) Full Text: DOI arXiv EuDML
Stoll, Michael Rational points on curves. (English. French summary) Zbl 1270.11030 J. Théor. Nombres Bordx. 23, No. 1, 257-277 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D41 11G30 14G05 14G25 PDFBibTeX XMLCite \textit{M. Stoll}, J. Théor. Nombres Bordx. 23, No. 1, 257--277 (2011; Zbl 1270.11030) Full Text: DOI arXiv EuDML
Lagarias, Jeffrey C.; Soundararajan, Kannan Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. (English. French summary) Zbl 1270.11032 J. Théor. Nombres Bordx. 23, No. 1, 209-234 (2011). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D45 11N25 PDFBibTeX XMLCite \textit{J. C. Lagarias} and \textit{K. Soundararajan}, J. Théor. Nombres Bordx. 23, No. 1, 209--234 (2011; Zbl 1270.11032) Full Text: DOI arXiv EuDML
Baoulina, Ioulia N. On the Carlitz problem on the number of solutions to some special equations over finite fields. (English. French summary) Zbl 1267.11035 J. Théor. Nombres Bordx. 23, No. 1, 1-20 (2011). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11D79 11D45 11T24 PDFBibTeX XMLCite \textit{I. N. Baoulina}, J. Théor. Nombres Bordx. 23, No. 1, 1--20 (2011; Zbl 1267.11035) Full Text: DOI EuDML Link
Leitner, Dominik J. Two exponential Diophantine equations. (English. French summary) Zbl 1333.11033 J. Théor. Nombres Bordx. 23, No. 2, 479-487 (2011). MSC: 11D61 PDFBibTeX XMLCite \textit{D. J. Leitner}, J. Théor. Nombres Bordx. 23, No. 2, 479--487 (2011; Zbl 1333.11033) Full Text: DOI EuDML Link
Jahnel, Jörg More cubic surfaces violating the Hasse principle. (English. French summary) Zbl 1233.11033 J. Théor. Nombres Bordx. 23, No. 2, 471-477 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D25 11D57 11E76 11G35 14G05 14J20 PDFBibTeX XMLCite \textit{J. Jahnel}, J. Théor. Nombres Bordx. 23, No. 2, 471--477 (2011; Zbl 1233.11033) Full Text: DOI arXiv EuDML
Denis, Laurent Common factors and torsion in positive characteristic. (Facteurs communs et torsion en caractéristique non nulle.) (French. English summary) Zbl 1279.11114 J. Théor. Nombres Bordx. 23, No. 2, 347-352 (2011). MSC: 11T55 11R58 11D61 PDFBibTeX XMLCite \textit{L. Denis}, J. Théor. Nombres Bordx. 23, No. 2, 347--352 (2011; Zbl 1279.11114) Full Text: DOI EuDML
Luca, Florian; Marques, Diego Perfect powers in the summatory function of the power tower. (English. French summary) Zbl 1231.11040 J. Théor. Nombres Bordx. 22, No. 3, 703-718 (2010). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 11J82 11J86 PDFBibTeX XMLCite \textit{F. Luca} and \textit{D. Marques}, J. Théor. Nombres Bordx. 22, No. 3, 703--718 (2010; Zbl 1231.11040) Full Text: DOI Numdam EuDML
Loughran, Daniel Manin’s conjecture for a singular sextic del Pezzo surface. (English. French summary) Zbl 1258.14029 J. Théor. Nombres Bordx. 22, No. 3, 675-701 (2010). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 14G10 11D45 11G35 11G50 14J26 PDFBibTeX XMLCite \textit{D. Loughran}, J. Théor. Nombres Bordx. 22, No. 3, 675--701 (2010; Zbl 1258.14029) Full Text: DOI arXiv EuDML
Iwaniec, Henryk; Munshi, Ritabrata The circle method and pairs of quadratic forms. (English) Zbl 1223.11037 J. Théor. Nombres Bordx. 22, No. 2, 403-419 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11D45 11D72 11E10 11N36 11P55 PDFBibTeX XMLCite \textit{H. Iwaniec} and \textit{R. Munshi}, J. Théor. Nombres Bordx. 22, No. 2, 403--419 (2010; Zbl 1223.11037) Full Text: DOI EuDML Link
Srinivasan, Anitha Markoff numbers and ambiguous classes. (English) Zbl 1209.11036 J. Théor. Nombres Bordx. 21, No. 3, 755-768 (2009). Reviewer: Maciej Ulas (Kraków) MSC: 11D25 11J06 PDFBibTeX XMLCite \textit{A. Srinivasan}, J. Théor. Nombres Bordx. 21, No. 3, 755--768 (2009; Zbl 1209.11036) Full Text: DOI Numdam EuDML Link
de la Bretèche, Régis Height zeta functions. (Fonctions zêta des hauteurs.) (French. English summary) Zbl 1222.11085 J. Théor. Nombres Bordx. 21, No. 1, 77-95 (2009). Reviewer: B. Z. Moroz (Bonn) MSC: 11G40 14G10 11D45 14G05 11M41 14G35 11G50 14J20 PDFBibTeX XMLCite \textit{R. de la Bretèche}, J. Théor. Nombres Bordx. 21, No. 1, 77--95 (2009; Zbl 1222.11085) Full Text: DOI
Siksek, Samir Diophantine equations after Fermat’s last theorem. (English) Zbl 1222.11045 J. Théor. Nombres Bordx. 21, No. 2, 425-436 (2009). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D41 11D61 11-02 11J86 PDFBibTeX XMLCite \textit{S. Siksek}, J. Théor. Nombres Bordx. 21, No. 2, 425--436 (2009; Zbl 1222.11045) Full Text: DOI Numdam EuDML Link
Munshi, Ritabrata Density of rational points on cyclic covers of \(\mathbb{P}^n\). (English) Zbl 1187.14026 J. Théor. Nombres Bordx. 21, No. 2, 335-341 (2009). Reviewer: Roger Heath-Brown (Oxford) MSC: 14G05 11D45 PDFBibTeX XMLCite \textit{R. Munshi}, J. Théor. Nombres Bordx. 21, No. 2, 335--341 (2009; Zbl 1187.14026) Full Text: DOI EuDML
Simon, Denis A “class group” obstruction for the equation \(Cy^d=F(x,z)\). (English) Zbl 1204.11063 J. Théor. Nombres Bordx. 20, No. 3, 811-828 (2008). Reviewer: Günter Lettl (Graz) MSC: 11D41 11R29 PDFBibTeX XMLCite \textit{D. Simon}, J. Théor. Nombres Bordx. 20, No. 3, 811--828 (2008; Zbl 1204.11063) Full Text: DOI Numdam EuDML
Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir Almost powers in the Lucas sequence. (English) Zbl 1204.11030 J. Théor. Nombres Bordx. 20, No. 3, 555-600 (2008). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11B39 11D41 11D59 11D61 11G05 11J86 11Y50 PDFBibTeX XMLCite \textit{Y. Bugeaud} et al., J. Théor. Nombres Bordx. 20, No. 3, 555--600 (2008; Zbl 1204.11030) Full Text: DOI Numdam EuDML
Levin, Aaron Variations on a theme of Runge: effective determination of integral points on certain varieties. (English) Zbl 1179.11018 J. Théor. Nombres Bordx. 20, No. 2, 385-417 (2008). Reviewer: Martin Bright (Warwick) MSC: 11G35 11G50 11D72 14G25 PDFBibTeX XMLCite \textit{A. Levin}, J. Théor. Nombres Bordx. 20, No. 2, 385--417 (2008; Zbl 1179.11018) Full Text: DOI arXiv Numdam EuDML
Kihel, Omar; Luca, Florian Variants of the Brocard-Ramanujan equation. (English) Zbl 1171.11020 J. Théor. Nombres Bordx. 20, No. 2, 353-363 (2008). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D85 11D61 PDFBibTeX XMLCite \textit{O. Kihel} and \textit{F. Luca}, J. Théor. Nombres Bordx. 20, No. 2, 353--363 (2008; Zbl 1171.11020) Full Text: DOI EuDML Link
Scremin, Amedeo Diophantine inequalities with power sums. (English) Zbl 1165.11036 J. Théor. Nombres Bordx. 19, No. 2, 547-560 (2007). Reviewer: Volker Ziegler (Graz) MSC: 11D75 11J25 11D61 PDFBibTeX XMLCite \textit{A. Scremin}, J. Théor. Nombres Bordx. 19, No. 2, 547--560 (2007; Zbl 1165.11036) Full Text: DOI Numdam Numdam EuDML
Helfgott, Harald A. Power-free values, large deviations, and integer points on irrational curves. (English) Zbl 1216.11086 J. Théor. Nombres Bordx. 19, No. 2, 433-472 (2007). MSC: 11N32 11D45 14G05 60F10 PDFBibTeX XMLCite \textit{H. A. Helfgott}, J. Théor. Nombres Bordx. 19, No. 2, 433--472 (2007; Zbl 1216.11086) Full Text: DOI arXiv EuDML Link
Ayad, Mohamed; Luca, Florian Two divisors of \((n^2+1)/2\) summing up to \(n+1\). (English) Zbl 1161.11004 J. Théor. Nombres Bordx. 19, No. 3, 561-566 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11D09 11C08 PDFBibTeX XMLCite \textit{M. Ayad} and \textit{F. Luca}, J. Théor. Nombres Bordx. 19, No. 3, 561--566 (2007; Zbl 1161.11004) Full Text: DOI EuDML EMIS
Ziegler, Volker Thomas’ conjecture over function fields. (English) Zbl 1193.11030 J. Théor. Nombres Bordx. 19, No. 1, 289-309 (2007). Reviewer: Alain S. Togbe (Westville) MSC: 11D59 11D25 11Y50 PDFBibTeX XMLCite \textit{V. Ziegler}, J. Théor. Nombres Bordx. 19, No. 1, 289--309 (2007; Zbl 1193.11030) Full Text: DOI Numdam EuDML
Godinho, Hemar; Rodrigues, Paulo H. A. On \(p\)-adic zeros of systems of diagonal forms restricted by a congruence condition. (English) Zbl 1131.11023 J. Théor. Nombres Bordx. 19, No. 1, 205-219 (2007). Reviewer: Koichi Kawada (Morioka) MSC: 11D72 11D88 11D79 PDFBibTeX XMLCite \textit{H. Godinho} and \textit{P. H. A. Rodrigues}, J. Théor. Nombres Bordx. 19, No. 1, 205--219 (2007; Zbl 1131.11023) Full Text: DOI Numdam EuDML
Kedlaya, Kiran S. Finite automata and algebraic extensions of functions fields. (English) Zbl 1161.11317 J. Théor. Nombres Bordx. 18, No. 2, 379-420 (2006). MSC: 11B85 11D88 13F25 16W60 68Q45 68Q70 PDFBibTeX XMLCite \textit{K. S. Kedlaya}, J. Théor. Nombres Bordx. 18, No. 2, 379--420 (2006; Zbl 1161.11317) Full Text: DOI arXiv Numdam EuDML
Bennett, Michael A. The equation \(x^{2n}+y^{2n}=z^5\). (English) Zbl 1138.11009 J. Théor. Nombres Bordx. 18, No. 2, 315-321 (2006). Reviewer: Alain Kraus (Paris) MSC: 11D41 PDFBibTeX XMLCite \textit{M. A. Bennett}, J. Théor. Nombres Bordx. 18, No. 2, 315--321 (2006; Zbl 1138.11009) Full Text: DOI Numdam EuDML
Abouzaid, Mourad Lucas and Lehmer numbers without primitive divisor. (Les nombres de Lucas et Lehmer sans diviseur primitif.) (English) Zbl 1139.11011 J. Théor. Nombres Bordx. 18, No. 2, 299-313 (2006). Reviewer: Florian Luca (Morelia) MSC: 11B39 11B37 11D09 PDFBibTeX XMLCite \textit{M. Abouzaid}, J. Théor. Nombres Bordx. 18, No. 2, 299--313 (2006; Zbl 1139.11011) Full Text: DOI Numdam EuDML
Togbé, Alain Complete solutions of a family of cubic Thue equations. (English) Zbl 1115.11021 J. Théor. Nombres Bordx. 18, No. 1, 285-298 (2006). Reviewer: Clemens Heuberger (Graz) MSC: 11D59 11D25 PDFBibTeX XMLCite \textit{A. Togbé}, J. Théor. Nombres Bordx. 18, No. 1, 285--298 (2006; Zbl 1115.11021) Full Text: DOI Numdam EuDML Link
McAfee, Erin; Williams, Kenneth S. An arithmetic formula of Liouville. (English) Zbl 1116.11007 J. Théor. Nombres Bordx. 18, No. 1, 223-239 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11E25 11D04 PDFBibTeX XMLCite \textit{E. McAfee} and \textit{K. S. Williams}, J. Théor. Nombres Bordx. 18, No. 1, 223--239 (2006; Zbl 1116.11007) Full Text: DOI Numdam Numdam EuDML
Cochrane, Todd; Coffelt, Jeremy; Pinner, Christopher A system of simultaneous congruences arising from trinomial exponential sums. (English) Zbl 1184.11012 J. Théor. Nombres Bordx. 18, No. 1, 59-72 (2006). MSC: 11D79 11L07 11A07 PDFBibTeX XMLCite \textit{T. Cochrane} et al., J. Théor. Nombres Bordx. 18, No. 1, 59--72 (2006; Zbl 1184.11012) Full Text: DOI Numdam EuDML EMIS
Kloosterman, Remke The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large. (English) Zbl 1153.11313 J. Théor. Nombres Bordx. 17, No. 3, 787-800 (2005). MSC: 11G05 11D25 14G25 14H25 PDFBibTeX XMLCite \textit{R. Kloosterman}, J. Théor. Nombres Bordx. 17, No. 3, 787--800 (2005; Zbl 1153.11313) Full Text: DOI arXiv Numdam EuDML
Fuchs, Clemens; Pethő, Attila Effective bounds for the zeros of linear recurrences in function fields. (English) Zbl 1153.11303 J. Théor. Nombres Bordx. 17, No. 3, 749-766 (2005). MSC: 11B37 11D61 11D88 PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{A. Pethő}, J. Théor. Nombres Bordx. 17, No. 3, 749--766 (2005; Zbl 1153.11303) Full Text: DOI Numdam Numdam EuDML
Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim Division-ample sets and the Diophantine problem for rings of integers. (English) Zbl 1161.11323 J. Théor. Nombres Bordx. 17, No. 3, 727-735 (2005). MSC: 11D72 11R04 11U05 PDFBibTeX XMLCite \textit{G. Cornelissen} et al., J. Théor. Nombres Bordx. 17, No. 3, 727--735 (2005; Zbl 1161.11323) Full Text: DOI arXiv Numdam Numdam EuDML
Zannier, Umberto Diophantine equations with linear recurrences. An overview of some recent progress. (English) Zbl 1162.11330 J. Théor. Nombres Bordx. 17, No. 1, 423-435 (2005). MSC: 11D99 11B37 11D75 11J25 PDFBibTeX XMLCite \textit{U. Zannier}, J. Théor. Nombres Bordx. 17, No. 1, 423--435 (2005; Zbl 1162.11330) Full Text: DOI Numdam EuDML
Müller, Wolfgang Systems of quadratic Diophantine inequalities. (English) Zbl 1082.11020 J. Théor. Nombres Bordx. 17, No. 1, 217-236 (2005). Reviewer: Hemar Godinho (Brasilia) MSC: 11D75 11J25 PDFBibTeX XMLCite \textit{W. Müller}, J. Théor. Nombres Bordx. 17, No. 1, 217--236 (2005; Zbl 1082.11020) Full Text: DOI Numdam EuDML
Jadrijević, Borka On two-parametric family of quartic Thue equations. (English) Zbl 1162.11327 J. Théor. Nombres Bordx. 17, No. 1, 161-167 (2005). MSC: 11D59 11D25 PDFBibTeX XMLCite \textit{B. Jadrijević}, J. Théor. Nombres Bordx. 17, No. 1, 161--167 (2005; Zbl 1162.11327) Full Text: DOI Numdam Numdam EuDML EMIS
Bilu, Yuri F. Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu). (English) Zbl 1080.11030 J. Théor. Nombres Bordx. 17, No. 1, 69-85 (2005). Reviewer: Preda Mihailescu (Göttingen) MSC: 11D61 11R18 PDFBibTeX XMLCite \textit{Y. F. Bilu}, J. Théor. Nombres Bordx. 17, No. 1, 69--85 (2005; Zbl 1080.11030) Full Text: DOI Numdam EuDML Link
Baoulina, Ioulia On some equations over finite fields. (English) Zbl 1119.11033 J. Théor. Nombres Bordx. 17, No. 1, 45-50 (2005). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11G25 11T24 11D72 PDFBibTeX XMLCite \textit{I. Baoulina}, J. Théor. Nombres Bordx. 17, No. 1, 45--50 (2005; Zbl 1119.11033) Full Text: DOI Numdam Numdam EuDML EMIS
Siksek, Samir On the Diophantine equation \(x^2= y^p+2^kz^p\). (English) Zbl 1074.11022 J. Théor. Nombres Bordx. 15, No. 3, 839-846 (2003). Reviewer: Edward L. Cohen (Ottawa) MSC: 11D61 PDFBibTeX XMLCite \textit{S. Siksek}, J. Théor. Nombres Bordx. 15, No. 3, 839--846 (2003; Zbl 1074.11022) Full Text: DOI Numdam EuDML
Duquesne, Sylvain Rational points and the elliptic Chabauty method. (Points rationnels et méthode de Chabauty elliptique.) (French) Zbl 1097.11014 J. Théor. Nombres Bordx. 15, No. 1, 99-113 (2003). Reviewer: William McCallum (Tucson) MSC: 11D41 11G30 11D45 13J05 14G05 PDFBibTeX XMLCite \textit{S. Duquesne}, J. Théor. Nombres Bordx. 15, No. 1, 99--113 (2003; Zbl 1097.11014) Full Text: DOI Numdam EuDML
Schinzel, Andrzej On a decomposition of polynomials in several variables. (English) Zbl 1067.11012 J. Théor. Nombres Bordx. 14, No. 2, 647-666 (2002). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11C08 11D85 12E05 PDFBibTeX XMLCite \textit{A. Schinzel}, J. Théor. Nombres Bordx. 14, No. 2, 647--666 (2002; Zbl 1067.11012) Full Text: DOI Numdam EuDML
Samuel, Pierre Elementary results for certain Diophantine equations. (Résultats élémentaires sur certaines équations diophantiennes.) (French) Zbl 1067.11014 J. Théor. Nombres Bordx. 14, No. 2, 629-646 (2002). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D25 11D45 PDFBibTeX XMLCite \textit{P. Samuel}, J. Théor. Nombres Bordx. 14, No. 2, 629--646 (2002; Zbl 1067.11014) Full Text: DOI Numdam EuDML
Narkiewicz, Władysław Polynomial cycles in certain rings of rationals. (English) Zbl 1071.11017 J. Théor. Nombres Bordx. 14, No. 2, 529-552 (2002). Reviewer: Franz Halter-Koch (Graz) MSC: 11C08 11D99 11R09 PDFBibTeX XMLCite \textit{W. Narkiewicz}, J. Théor. Nombres Bordx. 14, No. 2, 529--552 (2002; Zbl 1071.11017) Full Text: DOI Numdam EuDML
Matthews, Keith The Diophantine equation \(ax^2+bxy+cy^2=N\), \(D=b^2-4ac>0\). (English) Zbl 1018.11013 J. Théor. Nombres Bordx. 14, No. 1, 257-270 (2002). Reviewer: Richard A.Mollin (Calgary) MSC: 11D09 11A55 PDFBibTeX XMLCite \textit{K. Matthews}, J. Théor. Nombres Bordx. 14, No. 1, 257--270 (2002; Zbl 1018.11013) Full Text: DOI Numdam EuDML
Langevin, Michel Polynomial Diophantine equations with high multiplicity. (Équations diophantiennes polynomiales à hautes multiplicités.) (French) Zbl 1051.11021 J. Théor. Nombres Bordx. 13, No. 1, 211-226 (2001). Reviewer: Patrice Philippon (Paris) MSC: 11D99 11C08 30C10 PDFBibTeX XMLCite \textit{M. Langevin}, J. Théor. Nombres Bordx. 13, No. 1, 211--226 (2001; Zbl 1051.11021) Full Text: DOI Numdam EuDML EMIS
Gaál, István; Nyul, Gábor Computing all monogeneous mixed dihedral quartic extensions of a quadratic field. (English) Zbl 1065.11086 J. Théor. Nombres Bordx. 13, No. 1, 137-142 (2001). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11R20 11D59 11R11 11Y40 11Y50 PDFBibTeX XMLCite \textit{I. Gaál} and \textit{G. Nyul}, J. Théor. Nombres Bordx. 13, No. 1, 137--142 (2001; Zbl 1065.11086) Full Text: DOI Numdam EuDML EMIS
Dujella, Andrej Diophantine \(m\)-tuples and elliptic curves. (English) Zbl 1046.11034 J. Théor. Nombres Bordx. 13, No. 1, 111-124 (2001). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, J. Théor. Nombres Bordx. 13, No. 1, 111--124 (2001; Zbl 1046.11034) Full Text: DOI Numdam EuDML EMIS
Cook, Roger J. The value of additive forms at prime arguments. (English) Zbl 1047.11095 J. Théor. Nombres Bordx. 13, No. 1, 77-91 (2001). Reviewer: Koichi Kawada (Morioka) MSC: 11P32 11D75 11P55 PDFBibTeX XMLCite \textit{R. J. Cook}, J. Théor. Nombres Bordx. 13, No. 1, 77--91 (2001; Zbl 1047.11095) Full Text: DOI 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
Merel, Loïc Arithmetic of elliptic curves and diophantine equations. (English) Zbl 0964.11028 J. Théor. Nombres Bordx. 11, No. 1, 173-200 (1999). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G05 11D41 PDFBibTeX XMLCite \textit{L. Merel}, J. Théor. Nombres Bordx. 11, No. 1, 173--200 (1999; Zbl 0964.11028) Full Text: DOI Numdam EuDML EMIS
Langevin, Michel Links between Mason’s theorem, Belyi descent and different versions of the \((abc)\)-conjecture. (Imbrications entre le théorème de Mason, la descente de Belyi et les différentes formes de la conjecture \((abc)\).) (French) Zbl 0983.11015 J. Théor. Nombres Bordx. 11, No. 1, 91-109 (1999). Reviewer: George Greaves (Cardiff) MSC: 11D75 11C08 11D72 11J25 PDFBibTeX XMLCite \textit{M. Langevin}, J. Théor. Nombres Bordx. 11, No. 1, 91--109 (1999; Zbl 0983.11015) Full Text: DOI Numdam EuDML EMIS
Perrine, Serge A tree of approximation constants analogous to those of Markov’s diophantine equation. (Un arbre de constantes d’approximation analogue à celui de l’équation diophantienne de Markoff.) (French) Zbl 0924.11057 J. Théor. Nombres Bordx. 10, No. 2, 321-353 (1998). Reviewer: Thomas Schmidt (Corvallis) MSC: 11J06 11D25 PDFBibTeX XMLCite \textit{S. Perrine}, J. Théor. Nombres Bordx. 10, No. 2, 321--353 (1998; Zbl 0924.11057) Full Text: DOI Numdam EuDML EMIS
de Weger, Benjamin M. M. \(S\)-integral solutions to a Weierstrass equation. (English) Zbl 0898.11009 J. Théor. Nombres Bordx. 9, No. 2, 281-301 (1997). Reviewer: Nigel Smart (Bristol) MSC: 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{B. M. M. de Weger}, J. Théor. Nombres Bordx. 9, No. 2, 281--301 (1997; Zbl 0898.11009) Full Text: DOI Numdam EuDML EMIS
Saradha, N. On blocks of arithmetic progressions with equal products. (English) Zbl 0889.11010 J. Théor. Nombres Bordx. 9, No. 1, 183-199 (1997). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11D61 PDFBibTeX XMLCite \textit{N. Saradha}, J. Théor. Nombres Bordx. 9, No. 1, 183--199 (1997; Zbl 0889.11010) Full Text: DOI Numdam Numdam EuDML EMIS
Stevenhagen, Peter Frobenius distributions for real quadratic orders. (English) Zbl 0847.11010 J. Théor. Nombres Bordx. 7, No. 1, 121-132 (1995). Reviewer: R.Mollin (Calgary) MSC: 11D09 11R11 11R45 11R21 PDFBibTeX XMLCite \textit{P. Stevenhagen}, J. Théor. Nombres Bordx. 7, No. 1, 121--132 (1995; Zbl 0847.11010) Full Text: DOI Numdam EuDML EMIS
Mollin, R. A.; van der Poorten, A. J.; Williams, H. C. Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\). (English) Zbl 0820.11015 J. Théor. Nombres Bordx. 6, No. 2, 421-459 (1994). Reviewer: E.L.Cohen (Ottawa) MSC: 11D09 11A55 11R11 PDFBibTeX XMLCite \textit{R. A. Mollin} et al., J. Théor. Nombres Bordx. 6, No. 2, 421--459 (1994; Zbl 0820.11015) Full Text: DOI Numdam EuDML EMIS
Mignotte, Maurice; Pethö, Attila On squares in certain Lucas sequences. (Sur les carrés dans certaines suites de Lucas.) (French) Zbl 0795.11007 J. Théor. Nombres Bordx. 5, No. 2, 333-341 (1993). Reviewer: E.L.Cohen (Ottawa) MSC: 11B39 11D09 11D41 PDFBibTeX XMLCite \textit{M. Mignotte} and \textit{A. Pethö}, J. Théor. Nombres Bordx. 5, No. 2, 333--341 (1993; Zbl 0795.11007) Full Text: DOI Numdam EuDML