Mehrotra, Sanjay; Li, Zhifeng Segment LLL reduction of lattice bases using modular arithmetic. (English) Zbl 1461.11048 Algorithms (Basel) 3, No. 3, 224-243 (2010). MSC: 11C20 11Y16 68P25 65Y04 PDFBibTeX XMLCite \textit{S. Mehrotra} and \textit{Z. Li}, Algorithms (Basel) 3, No. 3, 224--243 (2010; Zbl 1461.11048) Full Text: DOI
Yi, Xiaolin; Yang, Feng; Lu, Pengcheng Research and improvement of the performance of an embedded system-based elliptic curve cryptography algorithm. (Chinese. English summary) Zbl 1240.94106 J. Beijing Univ. Technol. 36, No. 12, 1722-1728 (2010). MSC: 94A60 68P25 PDFBibTeX XMLCite \textit{X. Yi} et al., J. Beijing Univ. Technol. 36, No. 12, 1722--1728 (2010; Zbl 1240.94106)
Bertolini, Massimo Report on the Birch and Swinnerton-Dyer conjecture. (English) Zbl 1273.11102 Milan J. Math. 78, No. 1, 153-178 (2010). Reviewer: Andrea Bandini (Parma) MSC: 11G40 11G05 11G15 11F33 11R23 PDFBibTeX XMLCite \textit{M. Bertolini}, Milan J. Math. 78, No. 1, 153--178 (2010; Zbl 1273.11102) Full Text: DOI
Yang, Tonghai An arithmetic intersection formula on Hilbert modular surfaces. (English) Zbl 1206.14049 Am. J. Math. 132, No. 5, 1275-1309 (2010). Reviewer: Shun Tang (Orsay) MSC: 14G40 14G35 11F41 11G15 PDFBibTeX XMLCite \textit{T. Yang}, Am. J. Math. 132, No. 5, 1275--1309 (2010; Zbl 1206.14049) Full Text: DOI arXiv
Baran, Burcu Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem. (English) Zbl 1236.11094 J. Number Theory 130, No. 12, 2753-2772 (2010). Reviewer: Imin Chen (Burnaby) MSC: 11R29 11G15 11G18 PDFBibTeX XMLCite \textit{B. Baran}, J. Number Theory 130, No. 12, 2753--2772 (2010; Zbl 1236.11094) Full Text: DOI
Shin, Sug Woo A stable trace formula for Igusa varieties. (English) Zbl 1206.22011 J. Inst. Math. Jussieu 9, No. 4, 847-895 (2010). Reviewer: Heinrich Reitberger (Innsbruck) MSC: 11G18 11F72 11G15 11R39 22E55 PDFBibTeX XMLCite \textit{S. W. Shin}, J. Inst. Math. Jussieu 9, No. 4, 847--895 (2010; Zbl 1206.22011) Full Text: DOI
Akleylek, Sedat; Cenk, Murat; Özbudak, Ferruh Faster Montgomery modular multiplication without pre-computational phase for some classes of finite fields. (English) Zbl 1202.68162 Gelenbe, Erol (ed.) et al., Computer and information science. Proceedings of the 25th international symposium on computer and information sciences, London, UK, September 22–24, 2010. Dordrecht: Springer (ISBN 978-90-481-9793-4/hbk; 978-90-481-9794-1/ebook). Lecture Notes in Electrical Engineering 62, 405-408 (2010). MSC: 68M07 14G50 94A40 PDFBibTeX XMLCite \textit{S. Akleylek} et al., Lect. Notes Electr. Eng. 62, 405--408 (2010; Zbl 1202.68162) Full Text: DOI
Aflalo, Esther; Nekovář, Jan [Cornut, Christophe] Non-triviality of CM points in ring class field towers. With an appendix by Christophe Cornut. (English) Zbl 1273.11094 Isr. J. Math. 175, 225-284 (2010). Reviewer: Santiago Molina (Bielefeld) MSC: 11G15 11G18 PDFBibTeX XMLCite \textit{E. Aflalo} and \textit{J. Nekovář}, Isr. J. Math. 175, 225--284 (2010; Zbl 1273.11094) Full Text: DOI
Knežević, Miroslav; Vercauteren, Frederik; Verbauwhede, Ingrid Speeding up bipartite modular multiplication. (English) Zbl 1245.11127 Hasan, M. Anwar (ed.) et al., Arithmetic of finite fields. Third international workshop, WAIFI 2010, Istanbul, Turkey, June 27–30, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13796-9/pbk). Lecture Notes in Computer Science 6087, 166-179 (2010). MSC: 11Y16 11T71 65Y04 65Y20 94A60 PDFBibTeX XMLCite \textit{M. Knežević} et al., Lect. Notes Comput. Sci. 6087, 166--179 (2010; Zbl 1245.11127) Full Text: DOI Link
Cho, Bumkyu; Koo, Ja Kyung Construction of class fields over imaginary quadratic fields and applications. (English) Zbl 1244.11063 Q. J. Math. 61, No. 2, 199-216 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11G18 11G15 11R37 PDFBibTeX XMLCite \textit{B. Cho} and \textit{J. K. Koo}, Q. J. Math. 61, No. 2, 199--216 (2010; Zbl 1244.11063) Full Text: DOI
Schertz, Reinhard Complex multiplication. (English) Zbl 1203.11001 New Mathematical Monographs 15. Cambridge: Cambridge University Press (ISBN 978-0-521-76668-5/hbk). xiii, 361 p. (2010). Reviewer: Jing Long Hoelscher (Chicago) MSC: 11-02 11G15 11R33 14G50 11R27 11R29 11R20 PDFBibTeX XMLCite \textit{R. Schertz}, Complex multiplication. Cambridge: Cambridge University Press (2010; Zbl 1203.11001)
Phillips, Braden J.; Kong, Yinan; Lim, Zhining Highly parallel modular multiplication in the residue number system using sum of residues reduction. (English) Zbl 1185.94064 Appl. Algebra Eng. Commun. Comput. 21, No. 3, 249-255 (2010). MSC: 94A60 68W10 68P25 PDFBibTeX XMLCite \textit{B. J. Phillips} et al., Appl. Algebra Eng. Commun. Comput. 21, No. 3, 249--255 (2010; Zbl 1185.94064) Full Text: DOI
Schütt, Matthias \(K3\) surfaces with Picard rank 20. (English) Zbl 1190.14034 Algebra Number Theory 4, No. 3, 335-356 (2010). Reviewer: Remke Kloosterman (Berlin) MSC: 14J28 11F11 11G15 11G25 11R29 PDFBibTeX XMLCite \textit{M. Schütt}, Algebra Number Theory 4, No. 3, 335--356 (2010; Zbl 1190.14034) Full Text: DOI arXiv Link
Yang, Tonghai The Chowla-Selberg formula and the Colmez conjecture. (English) Zbl 1205.11068 Can. J. Math. 62, No. 2, 456-472 (2010). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 11G15 11F41 14K22 PDFBibTeX XMLCite \textit{T. Yang}, Can. J. Math. 62, No. 2, 456--472 (2010; Zbl 1205.11068) Full Text: DOI
Lozano-Robledo, Álvaro Bernoulli-Hurwitz numbers, Wieferich primes and Galois representations. (English) Zbl 1217.11057 J. Number Theory 130, No. 3, 539-558 (2010). MSC: 11F80 11G05 11G16 PDFBibTeX XMLCite \textit{Á. Lozano-Robledo}, J. Number Theory 130, No. 3, 539--558 (2010; Zbl 1217.11057) Full Text: DOI
Yoshimura, Shunsuke; Comuta, Aya; Ishii, Noburo Modular equation of a function field with respect to a group. (English) Zbl 1253.11066 Far East J. Math. Sci. (FJMS) 36, No. 2, 101-124 (2010). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 11G15 11F03 11F20 PDFBibTeX XMLCite \textit{S. Yoshimura} et al., Far East J. Math. Sci. (FJMS) 36, No. 2, 101--124 (2010; Zbl 1253.11066) Full Text: arXiv Link