Ziegler, Volker Finding all \(S\)-Diophantine quadruples for a fixed set of primes \(S\). (English) Zbl 1482.11056 Monatsh. Math. 196, No. 3, 617-641 (2021). Reviewer: István Gaál (Debrecen) MSC: 11D61 11Y50 PDFBibTeX XMLCite \textit{V. Ziegler}, Monatsh. Math. 196, No. 3, 617--641 (2021; Zbl 1482.11056) Full Text: DOI arXiv
Rivat, Joël; Sárközy, András On arithmetic properties of products and shifted products. (English) Zbl 1390.11110 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 345-355 (2015). MSC: 11N25 11K45 PDFBibTeX XMLCite \textit{J. Rivat} and \textit{A. Sárközy}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 345--355 (2015; Zbl 1390.11110) Full Text: DOI
Luca, Florian; Ziegler, Volker A note on the number of \(S\)-Diophantine quadruples. (English) Zbl 1370.11045 Commun. Math. 22, No. 1, 49-55 (2014). Reviewer: István Gaál (Debrecen) MSC: 11D09 11D45 11J86 PDFBibTeX XMLCite \textit{F. Luca} and \textit{V. Ziegler}, Commun. Math. 22, No. 1, 49--55 (2014; Zbl 1370.11045) Full Text: arXiv Link
Dietmann, Rainer; Elsholtz, Christian; Gyarmati, Katalin; Simonovits, Miklós Shifted products that are coprime pure powers. (English) Zbl 1131.11013 J. Comb. Theory, Ser. A 111, No. 1, 24-36 (2005). Reviewer: Florian Luca (Morelia) MSC: 11B75 11D99 05D10 05C38 PDFBibTeX XMLCite \textit{R. Dietmann} et al., J. Comb. Theory, Ser. A 111, No. 1, 24--36 (2005; Zbl 1131.11013) Full Text: DOI
Corvaja, P.; Zannier, U. On the greatest prime factor of \((ab+1)(ac+1)\). (English) Zbl 1077.11052 Proc. Am. Math. Soc. 131, No. 6, 1705-1709 (2003). Reviewer: Istvan Gaál (Debrecen) MSC: 11J25 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Proc. Am. Math. Soc. 131, No. 6, 1705--1709 (2003; Zbl 1077.11052) Full Text: DOI