Croot, Ernie; Granville, Andrew; Pemantle, Robin; Tetali, Prasad On sharp transitions in making squares. (English) Zbl 1321.11122 Ann. Math. (2) 175, No. 3, 1507-1550 (2012). MSC: 11Y05 11Y16 PDFBibTeX XMLCite \textit{E. Croot} et al., Ann. Math. (2) 175, No. 3, 1507--1550 (2012; Zbl 1321.11122) Full Text: DOI arXiv
Croot, Ernie; Hart, Derrick On sums and products in \(\mathbb C[x]\). (English) Zbl 1253.11014 Ramanujan J. 22, No. 1, 33-54 (2010). Reviewer: Weidong Gao (Tianjin) MSC: 11B30 11C08 PDFBibTeX XMLCite \textit{E. Croot} and \textit{D. Hart}, Ramanujan J. 22, No. 1, 33--54 (2010; Zbl 1253.11014) Full Text: DOI arXiv
Croot, Ernie; Granville, Andrew; Pemantle, Robin; Tetali, Prasad Running time predictions for factoring algorithms. (English) Zbl 1205.11132 van der Poorten, Alfred J. (ed.) et al., Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-79455-4/pbk). Lecture Notes in Computer Science 5011, 1-36 (2008). MSC: 11Y05 11Y16 68W40 PDFBibTeX XMLCite \textit{E. Croot} et al., Lect. Notes Comput. Sci. 5011, 1--36 (2008; Zbl 1205.11132) Full Text: DOI
Croot, Ernie Smooth numbers in short intervals. (English) Zbl 1115.11057 Int. J. Number Theory 3, No. 1, 159-169 (2007). Reviewer: Jan-Christoph Schlage-Puchta (Freiburg i. Br.) MSC: 11N25 PDFBibTeX XMLCite \textit{E. Croot}, Int. J. Number Theory 3, No. 1, 159--169 (2007; Zbl 1115.11057) Full Text: DOI
Contini, Scott; Croot, Ernie; Shparlinski, Igor E. Complexity of inverting the Euler function. (English) Zbl 1158.11003 Math. Comput. 75, No. 254, 983-996 (2006). MSC: 11A51 11Y11 11Y16 68Q17 68Q25 PDFBibTeX XMLCite \textit{S. Contini} et al., Math. Comput. 75, No. 254, 983--996 (2006; Zbl 1158.11003) Full Text: DOI arXiv
Croot, Ernie; Li, Ren-Cang; Zhu, Hui June The \(abc\) conjecture and correctly rounded reciprocal square roots. (English) Zbl 1060.65048 Theor. Comput. Sci. 315, No. 2-3, 405-417 (2004). Reviewer: Jacek Gilewicz (Marseille) MSC: 65G50 65D20 11Y40 PDFBibTeX XMLCite \textit{E. Croot} et al., Theor. Comput. Sci. 315, No. 2--3, 405--417 (2004; Zbl 1060.65048) Full Text: DOI