Ding, Zhiguo; Zieve, Michael E. Roots of certain polynomials over finite fields. (English) Zbl 1525.11142 J. Number Theory 252, 157-176 (2023). Reviewer: Moisés R. Delgado (San Juan) MSC: 11T06 11T55 PDFBibTeX XMLCite \textit{Z. Ding} and \textit{M. E. Zieve}, J. Number Theory 252, 157--176 (2023; Zbl 1525.11142) Full Text: DOI arXiv
Wong, Siman Abelian lifts of polynomials. (English) Zbl 1523.11233 J. Number Theory 246, 265-278 (2023). MSC: 11Y40 11Y16 11A07 11R18 11R45 11Y11 12D05 PDFBibTeX XMLCite \textit{S. Wong}, J. Number Theory 246, 265--278 (2023; Zbl 1523.11233) Full Text: DOI
Ding, Jintai; Kim, Seungki; Takagi, Tsuyoshi; Wang, Yuntao; Yang, Bo-yin A physical study of the LLL algorithm. (English) Zbl 1512.11098 J. Number Theory 244, 339-368 (2023). Reviewer: Othman Echi (Dhahran) MSC: 11Y16 94A60 82C20 68Q25 PDFBibTeX XMLCite \textit{J. Ding} et al., J. Number Theory 244, 339--368 (2023; Zbl 1512.11098) Full Text: DOI arXiv
Kristensen, Simon; Mathiasen, Oskar BBP-type formulas – an elementary approach. (English) Zbl 1509.11070 J. Number Theory 244, 251-263 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K16 11Y60 PDFBibTeX XMLCite \textit{S. Kristensen} and \textit{O. Mathiasen}, J. Number Theory 244, 251--263 (2023; Zbl 1509.11070) Full Text: DOI arXiv
Zhang, Long; Xu, Kejian; Dai, Zhaopeng; Sun, Chaochao The shortest vector problem and tame kernels of cyclotomic fields. (English) Zbl 1470.11320 J. Number Theory 227, 308-329 (2021). MSC: 11Y40 11H55 11R18 11R70 19F15 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Number Theory 227, 308--329 (2021; Zbl 1470.11320) Full Text: DOI
Miller, Stephen D.; Narayanan, Bhargav; Venkatesan, Ramarathnam Coppersmith’s lattices and “focus groups”: an attack on small-exponent RSA. (English) Zbl 1469.11476 J. Number Theory 222, 376-392 (2021). MSC: 11T71 11H06 11Y16 94A60 PDFBibTeX XMLCite \textit{S. D. Miller} et al., J. Number Theory 222, 376--392 (2021; Zbl 1469.11476) Full Text: DOI arXiv
Milio, Enea; Robert, Damien Modular polynomials on Hilbert surfaces. (English) Zbl 1456.11078 J. Number Theory 216, 403-459 (2020). MSC: 11F41 11G18 11Y40 14G35 PDFBibTeX XMLCite \textit{E. Milio} and \textit{D. Robert}, J. Number Theory 216, 403--459 (2020; Zbl 1456.11078) Full Text: DOI HAL
Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). (English) Zbl 1451.11020 J. Number Theory 208, 418-440 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D25 11D41 11G30 11G05 11J86 PDFBibTeX XMLCite \textit{H. R. Gallegos-Ruiz} et al., J. Number Theory 208, 418--440 (2020; Zbl 1451.11020) Full Text: DOI arXiv
Lee, Jonathan D.; Venkatesan, Ramarathnam Rigorous analysis of a randomised number field sieve. (English) Zbl 1430.11166 J. Number Theory 187, 92-159 (2018). MSC: 11Y05 05D40 60C05 PDFBibTeX XMLCite \textit{J. D. Lee} and \textit{R. Venkatesan}, J. Number Theory 187, 92--159 (2018; Zbl 1430.11166) Full Text: DOI arXiv
Shimada, Ichiro An even extremal lattice of rank 64. (English) Zbl 1437.11089 J. Number Theory 185, 1-15 (2018). Reviewer: Gabriele Nebe (Aachen) MSC: 11H31 94B40 11H56 PDFBibTeX XMLCite \textit{I. Shimada}, J. Number Theory 185, 1--15 (2018; Zbl 1437.11089) Full Text: DOI arXiv
Bekki, Hohto On periodicity of geodesic continued fractions. (English) Zbl 1428.11127 J. Number Theory 177, 181-210 (2017). MSC: 11J70 PDFBibTeX XMLCite \textit{H. Bekki}, J. Number Theory 177, 181--210 (2017; Zbl 1428.11127) Full Text: DOI arXiv
Pethő, Attila; Pohst, Michael E.; Bertók, Csanád On multidimensional Diophantine approximation of algebraic numbers. (English) Zbl 1419.11097 J. Number Theory 171, 422-448 (2017). MSC: 11J70 11J13 11Y16 PDFBibTeX XMLCite \textit{A. Pethő} et al., J. Number Theory 171, 422--448 (2017; Zbl 1419.11097) Full Text: DOI
Dong, Xiaoqian; Wu, Qiang The absolute trace of totally positive reciprocal algebraic integers. (English) Zbl 1409.11020 J. Number Theory 170, 66-74 (2017). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R04 11Y40 PDFBibTeX XMLCite \textit{X. Dong} and \textit{Q. Wu}, J. Number Theory 170, 66--74 (2017; Zbl 1409.11020) Full Text: DOI
Hu, Gengran; Pan, Yanbin; Liu, Renzhang; Chen, Yuyun On random nonsingular Hermite normal form. (English) Zbl 1409.11075 J. Number Theory 164, 66-86 (2016). MSC: 11M50 11Y16 15A21 PDFBibTeX XMLCite \textit{G. Hu} et al., J. Number Theory 164, 66--86 (2016; Zbl 1409.11075) Full Text: DOI
Bremner, Andrew; Ulas, Maciej Points at rational distances from the vertices of certain geometric objects. (English) Zbl 1400.11085 J. Number Theory 158, 104-133 (2016). MSC: 11D25 11G35 14G05 PDFBibTeX XMLCite \textit{A. Bremner} and \textit{M. Ulas}, J. Number Theory 158, 104--133 (2016; Zbl 1400.11085) Full Text: DOI arXiv
Ezome, Tony; Lercier, Reynald Elliptic periods and primality proving. (English) Zbl 1310.11118 J. Number Theory 133, No. 1, 343-368 (2013). MSC: 11Y11 11Y16 14H52 PDFBibTeX XMLCite \textit{T. Ezome} and \textit{R. Lercier}, J. Number Theory 133, No. 1, 343--368 (2013; Zbl 1310.11118) Full Text: DOI arXiv
Meng, Xianmeng On RSA moduli with half of the bits prescribed. (English) Zbl 1277.11116 J. Number Theory 133, No. 1, 105-109 (2013). MSC: 11Y16 11Y11 68W20 PDFBibTeX XMLCite \textit{X. Meng}, J. Number Theory 133, No. 1, 105--109 (2013; Zbl 1277.11116) Full Text: DOI
Koblitz, Ann Hibner; Koblitz, Neal; Menezes, Alfred Elliptic curve cryptography: the serpentine course of a paradigm shift. (English) Zbl 1213.94117 J. Number Theory 131, No. 5, 781-814 (2011). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94A60 11T71 14G50 68P25 01A80 PDFBibTeX XMLCite \textit{A. H. Koblitz} et al., J. Number Theory 131, No. 5, 781--814 (2011; Zbl 1213.94117) Full Text: DOI
Mingari Scarpello, Giovanni; Ritelli, Daniele The hyperelliptic integrals and \(\pi \). (English) Zbl 1234.33011 J. Number Theory 129, No. 12, 3094-3108 (2009). Reviewer: Richard B. Paris (Dundee) MSC: 33C20 11Y60 33B15 33F05 PDFBibTeX XMLCite \textit{G. Mingari Scarpello} and \textit{D. Ritelli}, J. Number Theory 129, No. 12, 3094--3108 (2009; Zbl 1234.33011) Full Text: DOI arXiv Link
Dokchitser, Tim LLL \(\and\) ABC. (English) Zbl 1048.11021 J. Number Theory 107, No. 1, 161-167 (2004). Reviewer: Alf van der Poorten (Killara) MSC: 11D04 11D41 11Y16 PDFBibTeX XMLCite \textit{T. Dokchitser}, J. Number Theory 107, No. 1, 161--167 (2004; Zbl 1048.11021) Full Text: DOI arXiv
van Hoeij, Mark Factoring polynomials and the knapsack problem. (English) Zbl 1081.11080 J. Number Theory 95, No. 2, 167-189 (2002). MSC: 11Y16 13P05 68W30 PDFBibTeX XMLCite \textit{M. van Hoeij}, J. Number Theory 95, No. 2, 167--189 (2002; Zbl 1081.11080) Full Text: DOI Link
Wildanger, K. On the solution of units and index form equations in algebraic number fields. (Über das Lösen von Einheiten- und Indexformgleichungen in algebraischen Zahlkörpern.) (German) Zbl 0952.11032 J. Number Theory 82, No. 2, 188-224 (2000). Reviewer: I.Gaál (Debrecen) MSC: 11Y50 11D57 PDFBibTeX XMLCite \textit{K. Wildanger}, J. Number Theory 82, No. 2, 188--224 (2000; Zbl 0952.11032) Full Text: DOI
Gaál, I.; Pethö, A.; Pohst, M. On the resolution of index form equations in biquadratic number fields. II. (English) Zbl 0726.11023 J. Number Theory 38, No. 1, 35-51 (1991). Reviewer: J.-H.Evertse (Leiden) MSC: 11D99 11R16 11Y50 11J86 PDFBibTeX XMLCite \textit{I. Gaál} et al., J. Number Theory 38, No. 1, 35--51 (1991; Zbl 0726.11023) Full Text: DOI
Tzanakis, N.; de Weger, B. M. M. On the practical solution of the Thue equation. (English) Zbl 0657.10014 J. Number Theory 31, No. 2, 99-132 (1989). Reviewer: B.Richter MSC: 11D41 11D25 PDFBibTeX XMLCite \textit{N. Tzanakis} and \textit{B. M. M. de Weger}, J. Number Theory 31, No. 2, 99--132 (1989; Zbl 0657.10014) Full Text: DOI
Mignotte, Maurice An inequality about irreducible factors of integer polynomials. (English) Zbl 0648.12002 J. Number Theory 30, No. 2, 156-166 (1988). Reviewer: Kenneth S. Williams (Ottawa) MSC: 11R09 11C08 PDFBibTeX XMLCite \textit{M. Mignotte}, J. Number Theory 30, No. 2, 156--166 (1988; Zbl 0648.12002) Full Text: DOI
de Weger, B. M. M. Solving exponential diophantine equations using lattice basis reduction algorithms. (English) Zbl 0625.10013 J. Number Theory 26, 325-367 (1987). Reviewer: A.Pethö MSC: 11D61 11D75 11-04 11H06 PDFBibTeX XMLCite \textit{B. M. M. de Weger}, J. Number Theory 26, 325--367 (1987; Zbl 0625.10013) Full Text: DOI