Fässler, Albert; Tu, Xingjun Aries More around Pythagore from ancient to modern times. (English) Zbl 1303.11002 Int. Math. Forum 8, No. 37-40, 1963-1975 (2013). MSC: 11-03 01A05 01A25 11D09 PDFBibTeX XMLCite \textit{A. Fässler} and \textit{X. A. Tu}, Int. Math. Forum 8, No. 37--40, 1963--1975 (2013; Zbl 1303.11002) Full Text: DOI
Perng, Cherng-tiao On a formula of Liouville type for the quadratic form \(x^2 + 2y^2 + 2z^2 + 4w^2\). (English) Zbl 1314.11017 Int. Math. Forum 8, No. 33-36, 1605-1614 (2013). MSC: 11E20 11E25 11R52 11D85 PDFBibTeX XMLCite \textit{C.-t. Perng}, Int. Math. Forum 8, No. 33--36, 1605--1614 (2013; Zbl 1314.11017) Full Text: DOI
Hakami, Ali H. A survey on exponential sums and the congruence \(x_1 x_2 x_3 \ldots x_n \equiv {c} \pmod p\). (English) Zbl 1314.11015 Int. Math. Forum 8, No. 29-32, 1413-1438 (2013). MSC: 11D79 11L07 11L40 11T23 PDFBibTeX XMLCite \textit{A. H. Hakami}, Int. Math. Forum 8, No. 29--32, 1413--1438 (2013; Zbl 1314.11015) Full Text: DOI
Terai, Nobuhiro; Takakuwa, Kei On the exponential Diophantine equation \(a^{2x}+a^xb^y+b^{2y}=c^z\). (English) Zbl 1288.11033 Int. Math. Forum 8, No. 17-20, 957-965 (2013). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11D61 PDFBibTeX XMLCite \textit{N. Terai} and \textit{K. Takakuwa}, Int. Math. Forum 8, No. 17--20, 957--965 (2013; Zbl 1288.11033) Full Text: DOI Link
Ryan, Richard F. An abundancy result for the two prime power case and results for an equations of Goormaghtigh. (English) Zbl 1285.11010 Int. Math. Forum 8, No. 9-12, 427-432 (2013). MSC: 11A25 11D61 PDFBibTeX XMLCite \textit{R. F. Ryan}, Int. Math. Forum 8, No. 9--12, 427--432 (2013; Zbl 1285.11010) Full Text: DOI Link
Hakami, Ali H. Small zeros of quadratic forms mod \(p^m\). (English) Zbl 1285.11061 Int. Math. Forum 8, No. 5-8, 357-367 (2013). MSC: 11D79 11E08 11H50 11H55 PDFBibTeX XMLCite \textit{A. H. Hakami}, Int. Math. Forum 8, No. 5--8, 357--367 (2013; Zbl 1285.11061) Full Text: DOI Link
Tyszka, Apoloniusz; Sporysz, Maciej; Peszek, Agnieszka A conjecture on integer arithmetic which implies that there is an algorithm which to each Diophantine equation assigns an integer which is greater than the heights of integer (non-negative integer, rational) solutions, if these solutions form a finite set. (English) Zbl 1301.11080 Int. Math. Forum 8, No. 1-4, 39-46 (2013). MSC: 11U05 11D45 PDFBibTeX XMLCite \textit{A. Tyszka} et al., Int. Math. Forum 8, No. 1--4, 39--46 (2013; Zbl 1301.11080) Full Text: DOI arXiv Link Link
Tyszka, Apoloniusz; Molenda, Krzysztof; Sporysz, Maciej An algorithm which transforms any Diophantine equation into an equivalent system of equations of the forms \(x_i=1\), \(x_i+x_j=x_k\), \(x_i \cdot x_j=x_k\). (English) Zbl 1285.11150 Int. Math. Forum 8, No. 1-4, 31-37 (2013). MSC: 11Y50 11D72 PDFBibTeX XMLCite \textit{A. Tyszka} et al., Int. Math. Forum 8, No. 1--4, 31--37 (2013; Zbl 1285.11150) Full Text: DOI Link
Retraction notice to: “A complete simple proof of the Fermat’s last conjecture”. (English) Zbl 1275.05010 Int. Math. Forum 7, No. 57-60, 2995 (2012). MSC: 11D41 PDFBibTeX XMLCite Int. Math. Forum 7, No. 57--60, 2995 (2012; Zbl 1275.05010) Full Text: Link
Nemron, Ikorong Anouk Gilbert A complete simple proof of the Fermat’s last conjecture. (English) Zbl 1275.05011 Int. Math. Forum 7, No. 17-20, 953-971 (2012); retraction notice ibid. 7, No. 57-60, 2995 (2012). MSC: 11D41 PDFBibTeX XMLCite \textit{I. A. G. Nemron}, Int. Math. Forum 7, No. 17--20, 953--971 (2012; Zbl 1275.05011) Full Text: Link
Elia, Michele On the equation \(x^3 + y^3 + z^3 = 0\) in the maximal orders of quadratic fields. (English) Zbl 1268.11043 Int. Math. Forum 6, No. 65-68, 3275-3284 (2011). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R11 11G05 PDFBibTeX XMLCite \textit{M. Elia}, Int. Math. Forum 6, No. 65--68, 3275--3284 (2011; Zbl 1268.11043) Full Text: Link
Chandoul, A. On quadratic Diophantine equation \(x^2-(t^2-t)y^2-(16t-4)x+(16t^2-16t)y=0\). (English) Zbl 1244.11027 Int. Math. Forum 6, No. 33-36, 1777-1782 (2011). MSC: 11D09 11D45 PDFBibTeX XMLCite \textit{A. Chandoul}, Int. Math. Forum 6, No. 33--36, 1777--1782 (2011; Zbl 1244.11027) Full Text: Link
Lee, Paul D.; Spearman, Blair K. A Diophantine system and a problem on cubic fields. (English) Zbl 1235.11029 Int. Math. Forum 6, No. 1-4, 141-146 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11R27 11R16 PDFBibTeX XMLCite \textit{P. D. Lee} and \textit{B. K. Spearman}, Int. Math. Forum 6, No. 1--4, 141--146 (2011; Zbl 1235.11029) Full Text: Link
Dan, Yuya Representation of one as the sum of unit fractions. (English) Zbl 1291.11077 Int. Math. Forum 6, No. 1-4, 25-30 (2011). MSC: 11D68 PDFBibTeX XMLCite \textit{Y. Dan}, Int. Math. Forum 6, No. 1--4, 25--30 (2011; Zbl 1291.11077) Full Text: arXiv Link
Tewfik, Lounis Towards a demonstration of Fermat’s theorem. (English) Zbl 1220.11048 Int. Math. Forum 5, No. 57-60, 2919-2928 (2010). MSC: 11D41 PDFBibTeX XMLCite \textit{L. Tewfik}, Int. Math. Forum 5, No. 57--60, 2919--2928 (2010; Zbl 1220.11048) Full Text: Link
Mollin, R. A. Solving Diophantine equations via Lucas-Lehmer theory. (English) Zbl 1239.11033 Int. Math. Forum 5, No. 25-28, 1339-1346 (2010). Reviewer: Volker Ziegler (Graz) MSC: 11D09 11A55 11R11 11R29 PDFBibTeX XMLCite \textit{R. A. Mollin}, Int. Math. Forum 5, No. 25--28, 1339--1346 (2010; Zbl 1239.11033) Full Text: Link
Jakimczuk, Rafael Equations in \(\mathbb F_p\). Elementary methods. (English) Zbl 1194.11048 Int. Math. Forum 4, No. 33-36, 1741-1773 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11D79 11A07 11T22 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Int. Math. Forum 4, No. 33--36, 1741--1773 (2009; Zbl 1194.11048) Full Text: Link
Demirpolat, E.; Çenberci, Selin; Senay, Hasan On the Diophantine equation \(x^2+11^{2k+1}=y^n\). (English) Zbl 1182.11018 Int. Math. Forum 4, No. 5-8, 277-280 (2009). MSC: 11D61 PDFBibTeX XMLCite \textit{E. Demirpolat} et al., Int. Math. Forum 4, No. 5--8, 277--280 (2009; Zbl 1182.11018) Full Text: Link
Chu, Wenchang Regular polygonal numbers and generalized Pell equations. (English) Zbl 1168.11054 Int. Math. Forum 2, No. 13-16, 781-802 (2007). Reviewer: Volker Ziegler (Graz) MSC: 11Y50 11Y55 11D09 PDFBibTeX XMLCite \textit{W. Chu}, Int. Math. Forum 2, No. 13--16, 781--802 (2007; Zbl 1168.11054) Full Text: DOI
Bircan, Nihal; Senay, H. The parametric representation for Diophantine equation \(x^2+y^2+z^2=t^2\) of polygonal numbers. (English) Zbl 1132.11313 Int. Math. Forum 2, No. 57-60, 2889-2891 (2007). MSC: 11D09 11D72 11Y16 PDFBibTeX XMLCite \textit{N. Bircan} and \textit{H. Senay}, Int. Math. Forum 2, No. 57--60, 2889--2891 (2007; Zbl 1132.11313) Full Text: DOI
Kaygisiz, Kenan; Şenay, Hasan Constructions of some new nonextandable \(P_k\) sets. (English) Zbl 1132.11315 Int. Math. Forum 2, No. 57-60, 2869-2874 (2007). MSC: 11D09 PDFBibTeX XMLCite \textit{K. Kaygisiz} and \textit{H. Şenay}, Int. Math. Forum 2, No. 57--60, 2869--2874 (2007; Zbl 1132.11315) Full Text: DOI
Elia, Michele On the computation of representations of primes as sums of four squares. (English) Zbl 1129.11057 Int. Math. Forum 2, No. 9-12, 505-514 (2007). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11Y16 11E25 11D85 PDFBibTeX XMLCite \textit{M. Elia}, Int. Math. Forum 2, No. 9--12, 505--514 (2007; Zbl 1129.11057) Full Text: DOI
Nwabueze, Kenneth K.; Choudhry, Ajai Some normal extensions of the Diophantine group. (English) Zbl 1124.11017 Int. Math. Forum 1, No. 25-28, 1249-1253 (2006). Reviewer: Richard A. Mollin (Calgary) MSC: 11D09 20D15 PDFBibTeX XMLCite \textit{K. K. Nwabueze} and \textit{A. Choudhry}, Int. Math. Forum 1, No. 25--28, 1249--1253 (2006; Zbl 1124.11017) Full Text: DOI
Ryan, Richard F. Results concerning an equation of Goormaghtigh and related topics. (English) Zbl 1134.11014 Int. Math. Forum 1, No. 25-28, 1195-1206 (2006). Reviewer: Kálmán Liptai (Eger) MSC: 11D61 11A25 PDFBibTeX XMLCite \textit{R. F. Ryan}, Int. Math. Forum 1, No. 25--28, 1195--1206 (2006; Zbl 1134.11014) Full Text: DOI
Mollin, R. A. Global versus local solvability of quadratic Diophantine equations. (English) Zbl 1171.11017 Int. Math. Forum 1, No. 33-36, 1625-1633 (2006). MSC: 11D09 11R11 11A55 PDFBibTeX XMLCite \textit{R. A. Mollin}, Int. Math. Forum 1, No. 33--36, 1625--1633 (2006; Zbl 1171.11017) Full Text: DOI Link