Asif, Sualeh; Fité, Francesc; Pentland, Dylan Computing \(L\)-polynomials of Picard curves from Cartier-Manin matrices. (English) Zbl 1489.11136 Math. Comput. 91, No. 334, 943-971 (2022). MSC: 11M38 14G10 11Y16 11G40 PDFBibTeX XMLCite \textit{S. Asif} et al., Math. Comput. 91, No. 334, 943--971 (2022; Zbl 1489.11136) Full Text: DOI arXiv
Bringmann, Kathrin; Kane, Ben Class numbers and representations by ternary quadratic forms with congruence conditions. (English) Zbl 1485.11080 Math. Comput. 91, No. 333, 295-329 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E20 11Y99 11E25 11E41 11F37 PDFBibTeX XMLCite \textit{K. Bringmann} and \textit{B. Kane}, Math. Comput. 91, No. 333, 295--329 (2022; Zbl 1485.11080) Full Text: DOI arXiv
Klagsbrun, Zev; Sherman, Travis; Weigandt, James The Elkies curve has rank 28 subject only to GRH. (English) Zbl 1469.11171 Math. Comput. 88, No. 316, 837-846 (2019). MSC: 11G05 11Y40 14G05 14H52 PDFBibTeX XMLCite \textit{Z. Klagsbrun} et al., Math. Comput. 88, No. 316, 837--846 (2019; Zbl 1469.11171) Full Text: DOI arXiv
Mosunov, A. S.; Jacobson, M. J. jun. Unconditional class group tabulation of imaginary quadratic fields to \(| \Delta| < 2^{40}\). (English) Zbl 1351.11074 Math. Comput. 85, No. 300, 1983-2009 (2016). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R11 11Y40 PDFBibTeX XMLCite \textit{A. S. Mosunov} and \textit{M. J. Jacobson jun.}, Math. Comput. 85, No. 300, 1983--2009 (2016; Zbl 1351.11074) Full Text: DOI arXiv
Kleinjung, Thorsten Quadratic sieving. (English) Zbl 1362.11108 Math. Comput. 85, No. 300, 1861-1873 (2016). Reviewer: Alexander Hulpke (Fort Collins) MSC: 11Y05 11Y40 11Y16 PDFBibTeX XMLCite \textit{T. Kleinjung}, Math. Comput. 85, No. 300, 1861--1873 (2016; Zbl 1362.11108) Full Text: DOI
Krumm, David Computing points of bounded height in projective space over a number field. (English) Zbl 1400.11165 Math. Comput. 85, No. 297, 423-447 (2016). MSC: 11Y40 11-04 11P21 14G05 PDFBibTeX XMLCite \textit{D. Krumm}, Math. Comput. 85, No. 297, 423--447 (2016; Zbl 1400.11165) Full Text: DOI arXiv
Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan Conditional bounds for the least quadratic non-residue and related problems. (English) Zbl 1326.11058 Math. Comput. 84, No. 295, 2391-2412 (2015); corrigendum ibid. 86, No. 307, 2551-2554 (2017). Reviewer: Štefan Porubský (Praha) MSC: 11N60 11R42 PDFBibTeX XMLCite \textit{Y. Lamzouri} et al., Math. Comput. 84, No. 295, 2391--2412 (2015; Zbl 1326.11058) Full Text: DOI arXiv
Akbary, Amir; Scholten, Keilan Artin prime producing polynomials. (English) Zbl 1333.11005 Math. Comput. 84, No. 294, 1861-1882 (2015). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11N32 PDFBibTeX XMLCite \textit{A. Akbary} and \textit{K. Scholten}, Math. Comput. 84, No. 294, 1861--1882 (2015; Zbl 1333.11005) Full Text: DOI arXiv
Biasse, Jean-François An \(L(1/3)\) algorithm for ideal class group and regulator computation in certain number fields. (English) Zbl 1346.11065 Math. Comput. 83, No. 288, 2005-2031 (2014). Reviewer: Michael Pohst (Düsseldorf) MSC: 11Y16 11Y40 11R29 11R27 PDFBibTeX XMLCite \textit{J.-F. Biasse}, Math. Comput. 83, No. 288, 2005--2031 (2014; Zbl 1346.11065) Full Text: DOI
Velichka, M. D.; Jacobson, M. J. jun.; Stein, A. Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. (English) Zbl 1285.14031 Math. Comput. 83, No. 286, 935-963 (2014). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 11G20 11Y16 11Y40 PDFBibTeX XMLCite \textit{M. D. Velichka} et al., Math. Comput. 83, No. 286, 935--963 (2014; Zbl 1285.14031) Full Text: DOI
Broughan, Kevin; Sanchez, Sergio Guzman; Luca, Florian Perfect repdigits. (English) Zbl 1359.11010 Math. Comput. 82, No. 284, 2439-2459 (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 11A63 11A25 PDFBibTeX XMLCite \textit{K. Broughan} et al., Math. Comput. 82, No. 284, 2439--2459 (2013; Zbl 1359.11010) Full Text: DOI
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate Tabulation of cubic function fields via polynomial binary cubic forms. (English) Zbl 1290.11154 Math. Comput. 81, No. 280, 2335-2359 (2012). Reviewer: Andreas Stein (Oldenburg) MSC: 11R58 11Y40 11R16 PDFBibTeX XMLCite \textit{P. Rozenhart} et al., Math. Comput. 81, No. 280, 2335--2359 (2012; Zbl 1290.11154) Full Text: DOI arXiv
Fontein, Felix The infrastructure of a global field of arbitrary unit rank. (English) Zbl 1267.11129 Math. Comput. 80, No. 276, 2325-2357 (2011). MSC: 11Y40 14H05 11R27 11R65 PDFBibTeX XMLCite \textit{F. Fontein}, Math. Comput. 80, No. 276, 2325--2357 (2011; Zbl 1267.11129) Full Text: DOI arXiv
Sutherland, Andrew V. Computing Hilbert class polynomials with the Chinese remainder theorem. (English) Zbl 1231.11144 Math. Comput. 80, No. 273, 501-538 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11Y16 11G15 11G20 14H52 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Math. Comput. 80, No. 273, 501--538 (2011; Zbl 1231.11144) Full Text: DOI arXiv
Sutherland, Andrew V. Structure computation and discrete logarithms in finite abelian \(p\)-groups. (English) Zbl 1225.11163 Math. Comput. 80, No. 273, 477-500 (2011). MSC: 11Y16 20K01 12Y05 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Math. Comput. 80, No. 273, 477--500 (2011; Zbl 1225.11163) Full Text: DOI arXiv
Luca, Florian; Najman, Filip On the largest prime factor of \(x^2-1\). (English) Zbl 1221.11080 Math. Comput. 80, No. 273, 429-435 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11D09 11Y50 11N25 PDFBibTeX XMLCite \textit{F. Luca} and \textit{F. Najman}, Math. Comput. 80, No. 273, 429--435 (2011; Zbl 1221.11080) Full Text: DOI arXiv
Sutherland, Andrew V. A generic approach to searching for Jacobians. (English) Zbl 1208.14020 Math. Comput. 78, No. 265, 485-507 (2009). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 11Y16 11G20 11M38 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Math. Comput. 78, No. 265, 485--507 (2009; Zbl 1208.14020) Full Text: DOI arXiv
Bauer, M.; Jacobson, M. J. jun.; Lee, Y.; Scheidler, R. Construction of hyperelliptic function fields of high three-rank. (English) Zbl 1131.11073 Math. Comput. 77, No. 261, 503-530 (2008). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11R58 11R65 11Y40 11R29 PDFBibTeX XMLCite \textit{M. Bauer} et al., Math. Comput. 77, No. 261, 503--530 (2008; Zbl 1131.11073) Full Text: DOI
de Haan, R.; Jacobson, M. J. jun.; Williams, H. C. A fast, rigorous technique for computing the regulator of a real quadratic field. (English) Zbl 1126.11072 Math. Comput. 76, No. 260, 2139-2160 (2007). MSC: 11Y40 11Y16 PDFBibTeX XMLCite \textit{R. de Haan} et al., Math. Comput. 76, No. 260, 2139--2160 (2007; Zbl 1126.11072) Full Text: DOI
Booker, Andrew R. Quadratic class numbers and character sums. (English) Zbl 1095.11057 Math. Comput. 75, No. 255, 1481-1492 (2006). Reviewer: Harvey Cohn (Laguna Woods) MSC: 11Y35 11R29 11Y40 PDFBibTeX XMLCite \textit{A. R. Booker}, Math. Comput. 75, No. 255, 1481--1492 (2006; Zbl 1095.11057) Full Text: DOI
Buchmann, Johannes; Schmidt, Arthur Computing the structure of a finite Abelian group. (English) Zbl 1089.20032 Math. Comput. 74, No. 252, 2017-2026 (2005). Reviewer: Alexander Hulpke (Fort Collins) MSC: 20K01 11Y16 20C40 68Q25 68W30 PDFBibTeX XMLCite \textit{J. Buchmann} and \textit{A. Schmidt}, Math. Comput. 74, No. 252, 2017--2026 (2005; Zbl 1089.20032) Full Text: DOI
Koblitz, Neal; Menezes, Alfred J. Obstacles to the torsion-subgroup attack on the decision Diffie-Hellman Problem. (English) Zbl 1064.94013 Math. Comput. 73, No. 248, 2027-2041 (2004). Reviewer: Karl-Heinz Zimmermann (Hamburg) MSC: 94A60 11T71 14G50 PDFBibTeX XMLCite \textit{N. Koblitz} and \textit{A. J. Menezes}, Math. Comput. 73, No. 248, 2027--2041 (2004; Zbl 1064.94013) Full Text: DOI
Jacobson, M. J. jun.; Pintér, Á.; Walsh, P. G. A computational approach for solving \(y^2=1^k+2^k+\dotsb+x^k\). (English) Zbl 1113.11075 Math. Comput. 72, No. 244, 2099-2110 (2003). Reviewer: Alain S. Togbe (Westville) MSC: 11Y50 11D25 11J86 11D61 11Y40 PDFBibTeX XMLCite \textit{M. J. Jacobson jun.} et al., Math. Comput. 72, No. 244, 2099--2110 (2003; Zbl 1113.11075) Full Text: DOI
Stein, Andreas; Teske, Edlyn Explicit bounds and heuristics on class numbers in hyperelliptic function fields. (English) Zbl 0992.11068 Math. Comput. 71, No. 238, 837-861 (2002). Reviewer: Bjorn Poonen (Berkeley) MSC: 11Y16 11Y40 11R29 11R58 11M38 11R65 PDFBibTeX XMLCite \textit{A. Stein} and \textit{E. Teske}, Math. Comput. 71, No. 238, 837--861 (2002; Zbl 0992.11068) Full Text: DOI
Terr, David C. A modification of Shanks’ baby-step giant-step algorithm. (English) Zbl 0940.68038 Math. Comput. 69, No. 230, 767-773 (2000). MSC: 68Q25 20D60 11Y16 PDFBibTeX XMLCite \textit{D. C. Terr}, Math. Comput. 69, No. 230, 767--773 (2000; Zbl 0940.68038) Full Text: DOI
Smart, N. P. Determining the small solutions to \(S\)-unit equations. (English) Zbl 0935.11053 Math. Comput. 68, No. 228, 1687-1699 (1999). Reviewer: Claus Fieker (Berlin) MSC: 11Y50 11D57 11D61 PDFBibTeX XMLCite \textit{N. P. Smart}, Math. Comput. 68, No. 228, 1687--1699 (1999; Zbl 0935.11053) Full Text: DOI
Teske, Edlyn A space efficient algorithm for group structure computation. (English) Zbl 0965.11050 Math. Comput. 67, No. 224, 1637-1663 (1998). MSC: 11Y16 20-04 11R65 11R29 11Y40 68W30 68Q25 PDFBibTeX XMLCite \textit{E. Teske}, Math. Comput. 67, No. 224, 1637--1663 (1998; Zbl 0965.11050) Full Text: DOI