Percival, Colin Rapid multiplication modulo the sum and difference of highly composite numbers. (English) Zbl 1022.65146 Math. Comput. 72, No. 241, 387-395 (2003). Reviewer: H.J.Godwin (Egham) MSC: 65T50 11A51 11Y16 65G50 PDFBibTeX XMLCite \textit{C. Percival}, Math. Comput. 72, No. 241, 387--395 (2003; Zbl 1022.65146) Full Text: DOI
Collins, George E. A fast Euclidean algorithm for Gaussian integers. (English) Zbl 1014.11002 J. Symb. Comput. 33, No. 4, 385-392 (2002). Reviewer: H.J.Godwin (Egham) MSC: 11A05 11Y16 68W25 PDFBibTeX XMLCite \textit{G. E. Collins}, J. Symb. Comput. 33, No. 4, 385--392 (2002; Zbl 1014.11002) Full Text: DOI Link
Olagunju, Amos O. Amazing results from reversed GCD algorithms. (English) Zbl 1014.11003 J. Elisha Mitchell Sci. Soc. 117, No. 3, 161-169 (2001). Reviewer: H.J.Godwin (Egham) MSC: 11A05 11Y16 PDFBibTeX XMLCite \textit{A. O. Olagunju}, J. Elisha Mitchell Sci. Soc. 117, No. 3, 161--169 (2001; Zbl 1014.11003)
Osler, Thomas J. Cardan polynomials and the reduction of radicals. (English) Zbl 1002.12001 Math. Mag. 74, No. 1, 26-32 (2001). Reviewer: H.J.Godwin (Egham) MSC: 12E10 PDFBibTeX XMLCite \textit{T. J. Osler}, Math. Mag. 74, No. 1, 26--32 (2001; Zbl 1002.12001) Full Text: DOI
Kubiak, Przemysław Extending the binary gcd algorithms. (English) Zbl 1014.11079 Alster, Kazimierz (ed.) et al., Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000. Berlin: de Gruyter. 113-135 (2001). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11-04 PDFBibTeX XMLCite \textit{P. Kubiak}, in: Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11--15, 2000. Berlin: de Gruyter. 113--135 (2001; Zbl 1014.11079)
Chastkofsky, Leonard The subtractive Euclidean algorithm and Fibonacci numbers. (English) Zbl 0994.11002 Fibonacci Q. 39, No. 4, 320-323 (2001). Reviewer: H.J.Godwin (Egham) MSC: 11A05 11B39 PDFBibTeX XMLCite \textit{L. Chastkofsky}, Fibonacci Q. 39, No. 4, 320--323 (2001; Zbl 0994.11002)
Shattuck, Steven; Cooper, Curtis Divergent RATS sequences. (English) Zbl 0994.11005 Fibonacci Q. 39, No. 2, 101-106 (2001). Reviewer: H.J.Godwin (Egham) MSC: 11A63 PDFBibTeX XMLCite \textit{S. Shattuck} and \textit{C. Cooper}, Fibonacci Q. 39, No. 2, 101--106 (2001; Zbl 0994.11005)
Arndt, Jörg; Haenel, Christoph Pi-unleashed. Transl. from the German by Catriona and David Lischka. Incl. 1 CD-ROM. (English) Zbl 0964.11003 Berlin: Springer. xii, 276 p. (2001). Reviewer: H.J.Godwin (Egham) MSC: 11-02 11Y60 11-04 11A55 11Y16 PDFBibTeX XMLCite \textit{J. Arndt} and \textit{C. Haenel}, Pi-unleashed. Transl. from the German by Catriona and David Lischka. Incl. 1 CD-ROM. Berlin: Springer (2001; Zbl 0964.11003)
Romik, Dan Stirling’s approximation for \(n!\): The ultimate short proof? (English) Zbl 0983.11078 Am. Math. Mon. 107, No. 6, 556-557 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 41A58 65B15 PDFBibTeX XMLCite \textit{D. Romik}, Am. Math. Mon. 107, No. 6, 556--557 (2000; Zbl 0983.11078) Full Text: DOI
Watkins, William The quadratic residues \(-1\) and \(-3\). (English) Zbl 0983.11002 Am. Math. Mon. 107, No. 10, 934 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11A15 11S15 PDFBibTeX XMLCite \textit{W. Watkins}, Am. Math. Mon. 107, No. 10, 934 (2000; Zbl 0983.11002) Full Text: DOI
Kalantari, Bahman New formulas for approximation of \(\pi\) and other transcendental numbers. (English) Zbl 0994.11026 Numer. Algorithms 24, No. 1-2, 59-81 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11J04 65H05 41A25 PDFBibTeX XMLCite \textit{B. Kalantari}, Numer. Algorithms 24, No. 1--2, 59--81 (2000; Zbl 0994.11026) Full Text: DOI
Almkvist, Gert Computing the \(10^{10}\)-th hexadecimal of \(\pi\) without computing the preceding ones. (Swedish. English summary) Zbl 0962.11042 Normat 48, No. 2, 49-55 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 PDFBibTeX XMLCite \textit{G. Almkvist}, Normat 48, No. 2, 49--55 (2000; Zbl 0962.11042)
Jiménez Calvo, I. A note on factors of generalized Fermat numbers. (English) Zbl 0962.11008 Appl. Math. Lett. 13, No. 6, 1-5 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11A51 PDFBibTeX XMLCite \textit{I. Jiménez Calvo}, Appl. Math. Lett. 13, No. 6, 1--5 (2000; Zbl 0962.11008) Full Text: DOI
Shi, Yixun An algorithm for studying the digit sum of large integers. (English) Zbl 0985.11006 Int. J. Comput. Math. 74, No. 2, 159-165 (2000). Reviewer: H.J.Godwin (Egham) MSC: 11A63 68M07 PDFBibTeX XMLCite \textit{Y. Shi}, Int. J. Comput. Math. 74, No. 2, 159--165 (2000; Zbl 0985.11006) Full Text: DOI
Rosen, Kenneth H. Elementary number theory and its applications. 4th ed. (English) Zbl 0964.11002 Reading, MA: Addison-Wesley. xviii, 638 p. (2000). Reviewer: H.J.Godwin (Egham) MSC: 11-01 11Axx 11Yxx 68Q25 94A60 11Z05 PDFBibTeX XMLCite \textit{K. H. Rosen}, Elementary number theory and its applications. 4th ed. Reading, MA: Addison-Wesley (2000; Zbl 0964.11002)
Shan, Zun; Wang, Edward T. H. Mutual multiples in \(\mathbb{Z}_n\). (English) Zbl 1011.11004 Math. Mag. 72, No. 2, 143-145 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11A05 13A99 PDFBibTeX XMLCite \textit{Z. Shan} and \textit{E. T. H. Wang}, Math. Mag. 72, No. 2, 143--145 (1999; Zbl 1011.11004) Full Text: DOI
Glasby, S. P. Extended Euclid’s algorithm via backward recurrence relations. (English) Zbl 1011.11003 Math. Mag. 72, No. 3, 228-230 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11A05 PDFBibTeX XMLCite \textit{S. P. Glasby}, Math. Mag. 72, No. 3, 228--230 (1999; Zbl 1011.11003) Full Text: DOI
Martin, Greg Farmer Ted goes natural. (English) Zbl 1013.11083 Math. Mag. 72, No. 4, 259-276 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11A99 PDFBibTeX XMLCite \textit{G. Martin}, Math. Mag. 72, No. 4, 259--276 (1999; Zbl 1013.11083) Full Text: DOI arXiv
Lange, L. J. An elegant continued fraction for \(\pi\). (English) Zbl 0986.11004 Am. Math. Mon. 106, No. 5, 456-458 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11A55 PDFBibTeX XMLCite \textit{L. J. Lange}, Am. Math. Mon. 106, No. 5, 456--458 (1999; Zbl 0986.11004) Full Text: DOI
Hintenaus, Peter; Trevisan, Vilmar Rational representation of modular numbers. (English) Zbl 0985.11003 Mat. Contemp. 16, 117-128 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11A07 11-04 PDFBibTeX XMLCite \textit{P. Hintenaus} and \textit{V. Trevisan}, Mat. Contemp. 16, 117--128 (1999; Zbl 0985.11003)
Liang, Songxin; Zhang, Jingzhong A complete discrimination system for polynomials with complex coefficients and its automatic generation. (English) Zbl 0949.12002 Sci. China, Ser. E 42, No. 2, 113-128 (1999). Reviewer: H.J.Godwin (Egham / Surrey) MSC: 12E05 12Y05 68W30 PDFBibTeX XMLCite \textit{S. Liang} and \textit{J. Zhang}, Sci. China, Ser. E 42, No. 2, 113--128 (1999; Zbl 0949.12002) Full Text: DOI
Forbes, Tony Prime clusters and Cunningham chains. (English) Zbl 0927.11003 Math. Comput. 68, No. 228, 1739-1747 (1999). Reviewer: H.J.Godwin (Egham) MSC: 11A41 11Y11 PDFBibTeX XMLCite \textit{T. Forbes}, Math. Comput. 68, No. 228, 1739--1747 (1999; Zbl 0927.11003) Full Text: DOI
Belenkiy, Ari; Vidunas, Raimundas A greatest common divisor algorithm. (English) Zbl 0962.11003 Int. J. Algebra Comput. 8, No. 5, 617-623 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11A05 11Y16 68Q25 PDFBibTeX XMLCite \textit{A. Belenkiy} and \textit{R. Vidunas}, Int. J. Algebra Comput. 8, No. 5, 617--623 (1998; Zbl 0962.11003) Full Text: DOI
Landau, Susan \(\sqrt{2}+\sqrt{3}\): Four different views. (English) Zbl 0922.11115 Math. Intell. 20, No. 4, 55-60 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11R06 68W30 11R09 PDFBibTeX XMLCite \textit{S. Landau}, Math. Intell. 20, No. 4, 55--60 (1998; Zbl 0922.11115) Full Text: DOI
Borwein, Jonathan M. Brouwer-Heyting sequences converge. (English) Zbl 0921.00003 Math. Intell. 20, No. 1, 14-15 (1998). Reviewer: H.J.Godwin (Egham) MSC: 00A30 11K16 PDFBibTeX XMLCite \textit{J. M. Borwein}, Math. Intell. 20, No. 1, 14--15 (1998; Zbl 0921.00003) Full Text: DOI
Bijlsma, A. An application of program derivation techniques to 18th-century mathematics. (English) Zbl 0906.11059 Jeuring, Johan (ed.), Mathematics of program construction. 4th international conference, MPC ’98, Marstrand, Sweden, June 15–17, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1422, 44-51 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11Y99 68Q60 11P32 PDFBibTeX XMLCite \textit{A. Bijlsma}, Lect. Notes Comput. Sci. 1422, 44--51 (1998; Zbl 0906.11059)
Cesari, Giovanni Parallel implementation of Schönhage’s integer GCD algorithm. (English) Zbl 0918.11064 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21–25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 64-76 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11A05 11-04 PDFBibTeX XMLCite \textit{G. Cesari}, Lect. Notes Comput. Sci. 1423, 64--76 (1998; Zbl 0918.11064)
Cavallar, Stefania; Lemmermeyer, Franz The Euclidean algorithm in cubic number fields. (English) Zbl 0918.11057 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 123-146 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11R16 11Y40 PDFBibTeX XMLCite \textit{S. Cavallar} and \textit{F. Lemmermeyer}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 123--146 (1998; Zbl 0918.11057) Full Text: arXiv
Sjöberg, Boris The history of \(\pi\). (Swedish. English summary) Zbl 0906.11002 Normat 46, No. 1, 14-25 (1998). Reviewer: H.J.Godwin (Egham) MSC: 11-03 01A05 11Y60 PDFBibTeX XMLCite \textit{B. Sjöberg}, Normat 46, No. 1, 14--25 (1998; Zbl 0906.11002)
Arnault, F. The Rabin-Monier theorem for Lucas pseudoprimes. (English) Zbl 0872.11056 Math. Comput. 66, No. 218, 869-881 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y11 11A51 11R11 PDFBibTeX XMLCite \textit{F. Arnault}, Math. Comput. 66, No. 218, 869--881 (1997; Zbl 0872.11056) Full Text: DOI
Alekseev, V. B. From the Karatsuba method for fast multiplication on numbers to fast algorithms for discrete functions. (English. Russian original) Zbl 0929.11062 Lupanov, O. B. (ed.), Analytic number theory and applications. Collected papers in honor of the sixtieth birthday of Professor Anatolii Alexeevich Karatsuba. Moscow: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 218, 15-22 (1997); translation from Tr. Mat. Inst. Steklova 218, 20-27 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 PDFBibTeX XMLCite \textit{V. B. Alekseev}, in: Analytic number theory and applications. Collected papers in honor of the sixtieth birthday of Professor Anatolii Alexeevich Karatsuba. Moscow: MAIK Nauka/Interperiodica Publishing. 15--22 (1997; Zbl 0929.11062); translation from Tr. Mat. Inst. Steklova 218, 20--27 (1997)
Pihko, Jukka Computational comments on a paper of Vaidya. (English) Zbl 0915.11004 Indian J. Math. 39, No. 3, 261-265 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11A41 PDFBibTeX XMLCite \textit{J. Pihko}, Indian J. Math. 39, No. 3, 261--265 (1997; Zbl 0915.11004)
Zhong, R.; Ma, Jun An algorithm for the Chinese remainder problem. (English) Zbl 0912.11058 Int. J. Comput. Math. 64, No. 3-4, 225-233 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11A05 PDFBibTeX XMLCite \textit{R. Zhong} and \textit{J. Ma}, Int. J. Comput. Math. 64, No. 3--4, 225--233 (1997; Zbl 0912.11058) Full Text: DOI
Adamchik, Victor; Wagon, Stan A simple formula for \(\pi\). (English) Zbl 0886.11073 Am. Math. Mon. 104, No. 9, 852-855 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 PDFBibTeX XMLCite \textit{V. Adamchik} and \textit{S. Wagon}, Am. Math. Mon. 104, No. 9, 852--855 (1997; Zbl 0886.11073) Full Text: DOI
Daudé, Hervé; Flajolet, Philippe; Vallée, Brigitte An average-case analysis of the Gaussian algorithm for lattice reduction. (English) Zbl 0921.11072 Comb. Probab. Comput. 6, No. 4, 397-433 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 11H50 11H55 PDFBibTeX XMLCite \textit{H. Daudé} et al., Comb. Probab. Comput. 6, No. 4, 397--433 (1997; Zbl 0921.11072) Full Text: DOI
Mollin, R. A. Prime-producing quadratics. (English) Zbl 0886.11053 Am. Math. Mon. 104, No. 6, 529-544 (1997). Reviewer: H.J.Godwin (Egham) MSC: 11N32 11C08 11R09 PDFBibTeX XMLCite \textit{R. A. Mollin}, Am. Math. Mon. 104, No. 6, 529--544 (1997; Zbl 0886.11053) Full Text: DOI
Lin, Liang; Liu, Yirong Number of zero point for a polynomial in real field. (English) Zbl 0882.12001 Chin. Sci. Bull. 42, No. 11, 886-890 (1997). Reviewer: H.J.Godwin (Egham) MSC: 12D05 12Y05 PDFBibTeX XMLCite \textit{L. Lin} and \textit{Y. Liu}, Chin. Sci. Bull. 42, No. 11, 886--890 (1997; Zbl 0882.12001) Full Text: DOI
Berggren, Lennart (ed.); Borwein, Jonathan (ed.); Borwein, Peter (ed.) Pi: a source book. (English) Zbl 0876.11001 New York, NY: Springer. xix, 716 p. (1997). Reviewer: H.J.Godwin (Egham) MSC: 11-00 00B60 01-01 11-03 11-04 11Y16 11J81 PDFBibTeX XMLCite \textit{L. Berggren} (ed.) et al., Pi: a source book. New York, NY: Springer (1997; Zbl 0876.11001)
Saito, Tomokatsu An extension of Sturm’s theorem to two dimensions. (English) Zbl 0882.12002 Proc. Japan Acad., Ser. A 73, No. 1, 18-19 (1997). Reviewer: H.J.Godwin (Egham) MSC: 12D05 12Y05 PDFBibTeX XMLCite \textit{T. Saito}, Proc. Japan Acad., Ser. A 73, No. 1, 18--19 (1997; Zbl 0882.12002) Full Text: DOI
Wetherfield, Michael The enhancement of Machin’s formula by Todd’s process. (English) Zbl 0861.11067 Math. Gaz. 80, No. 488, 333-344 (1996). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 65D20 PDFBibTeX XMLCite \textit{M. Wetherfield}, Math. Gaz. 80, No. 488, 333--344 (1996; Zbl 0861.11067) Full Text: DOI
van Leijenhorst, D. C. Algorithms for the approximation of \(\pi\). (English) Zbl 0861.11068 Nieuw Arch. Wiskd., IV. Ser. 14, No. 2, 255-274 (1996). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 11Y16 65D20 PDFBibTeX XMLCite \textit{D. C. van Leijenhorst}, Nieuw Arch. Wiskd., IV. Ser. 14, No. 2, 255--274 (1996; Zbl 0861.11068)
Lukes, R. F.; Patterson, C. D.; Williams, H. C. Some results on pseudosquares. (English) Zbl 0852.11072 Math. Comput. 65, No. 213, 361-372, S25-S27 (1996). Reviewer: H.J.Godwin (Egham) MSC: 11Y11 11A51 11-04 11Y35 11M20 11M26 PDFBibTeX XMLCite \textit{R. F. Lukes} et al., Math. Comput. 65, No. 213, 361--372, S25--S27 (1996; Zbl 0852.11072) Full Text: DOI
Ford, David; Havas, George A new algorithm and refined bounds for extended gcd computation. (English) Zbl 0924.11099 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 145-150 (1996). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11A05 PDFBibTeX XMLCite \textit{D. Ford} and \textit{G. Havas}, Lect. Notes Comput. Sci. 1122, 145--150 (1996; Zbl 0924.11099)
Quesada, A. R.; van Pelt, B. A note on the extensions of Eratosthenes’ sieve. (English) Zbl 0872.11006 Rev. Mat. Univ. Complutense Madr. 9, No. 1, 99-108 (1996). Reviewer: H.J.Godwin (Egham) MSC: 11A41 11Y16 11-04 PDFBibTeX XMLCite \textit{A. R. Quesada} and \textit{B. van Pelt}, Rev. Mat. Univ. Complutense Madr. 9, No. 1, 99--108 (1996; Zbl 0872.11006) Full Text: EuDML
Glasby, S. P. Generators for the group of units of \(\mathbb{Z}_ n\). (English) Zbl 0868.11055 Aust. Math. Soc. Gaz. 22, No. 5, 226-228 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11R99 11A07 PDFBibTeX XMLCite \textit{S. P. Glasby}, Aust. Math. Soc. Gaz. 22, No. 5, 226--228 (1995; Zbl 0868.11055)
Olagunju, Amos O. Applications of early arithmetic procedures in the development of novel computational methods. (English) Zbl 0868.11062 J. Elisha Mitchell Sci. Soc. 111, No. 3, 160-170 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q05 11A05 PDFBibTeX XMLCite \textit{A. O. Olagunju}, J. Elisha Mitchell Sci. Soc. 111, No. 3, 160--170 (1995; Zbl 0868.11062)
Lukes, R. F.; Patterson, C. D.; Williams, H. C. Numerical sieving devices: Their history and some applications. (English) Zbl 0856.11048 Nieuw Arch. Wiskd., IV. Ser. 13, No. 1, 113-139 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11N35 11Y11 11N32 11N36 PDFBibTeX XMLCite \textit{R. F. Lukes} et al., Nieuw Arch. Wiskd., IV. Ser. 13, No. 1, 113--139 (1995; Zbl 0856.11048)
Rabinowitz, Stanley; Wagon, Stan A spigot algorithm for the digits of \(\pi\). (English) Zbl 0853.11102 Am. Math. Mon. 102, No. 3, 195-203 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11Y60 11A63 11Y16 11A25 PDFBibTeX XMLCite \textit{S. Rabinowitz} and \textit{S. Wagon}, Am. Math. Mon. 102, No. 3, 195--203 (1995; Zbl 0853.11102) Full Text: DOI
Lemmermeyer, Franz The Euclidean algorithm in algebraic number fields. (English) Zbl 0843.11046 Expo. Math. 13, No. 5, 385-416 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11R04 11-02 11H50 11A05 PDFBibTeX XMLCite \textit{F. Lemmermeyer}, Expo. Math. 13, No. 5, 385--416 (1995; Zbl 0843.11046)
Cassels, J. W. S. Computer-aided serendipity. (English) Zbl 0834.11001 Rend. Semin. Mat. Univ. Padova 93, 187-197 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11-02 11G05 11G07 11C08 14J25 11Y99 PDFBibTeX XMLCite \textit{J. W. S. Cassels}, Rend. Semin. Mat. Univ. Padova 93, 187--197 (1995; Zbl 0834.11001) Full Text: Numdam EuDML
Shiu, P. Computation of continued fractions without input values. (English) Zbl 0834.11004 Math. Comput. 64, No. 211, 1307-1317 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11A55 11Y65 11K50 PDFBibTeX XMLCite \textit{P. Shiu}, Math. Comput. 64, No. 211, 1307--1317 (1995; Zbl 0834.11004) Full Text: DOI
Quesada, Antonio R. On the \(k\)-th extension of the sieve of Eratosthenes. (English) Zbl 0872.11005 Int. J. Math. Math. Sci. 18, No. 3, 539-544 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11A41 11Y16 11-04 PDFBibTeX XMLCite \textit{A. R. Quesada}, Int. J. Math. Math. Sci. 18, No. 3, 539--544 (1995; Zbl 0872.11005) Full Text: DOI EuDML Link
Cucker, F.; Montaña, J. L.; Pardo, L. M. Models for parallel computation with real numbers. (English) Zbl 0921.68056 van der Poorten, Alf J. (ed.) et al., Proceedings of the international conference on number theoretic and algebraic methods in computer science, NTAMCS ’93, Moscow, Russia, June/July 1993. Singapore: World Scientific. 53-63 (1995). Reviewer: H.J.Godwin (Egham) MSC: 68W30 11Y16 68Q15 68W15 PDFBibTeX XMLCite \textit{F. Cucker} et al., in: Proceedings of the international conference on number theoretic and algebraic methods in computer science, NTAMCS '93, Moscow, Russia, June/July 1993. Singapore: World Scientific. 53--63 (1995; Zbl 0921.68056)
Yokoyama, Kazuhiro; Li, Ziming; Nemes, István Finding roots of unity among quotients of the roots of an integral polynomial. (English) Zbl 0924.11103 Levelt, A. H. M. (ed.), Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC ’95, Montreal, Canada, July 10–12, 1995. New York, NY: ACM Press. 85-89 (1995). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11R27 11R09 11C08 PDFBibTeX XMLCite \textit{K. Yokoyama} et al., in: Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC '95, Montreal, Canada, July 10--12, 1995. New York, NY: ACM Press. 85--89 (1995; Zbl 0924.11103)
Thiel, Christoph Under the assumption of the generalized Riemann hypothesis verifying the class number belongs to \(\text{NP}\cap\text{co-NP}\). (English) Zbl 0833.11061 Adleman, Leonard M. (ed.) et al., Algorithmic number theory. 1st international symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 877, 234-247 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11R29 PDFBibTeX XMLCite \textit{C. Thiel}, Lect. Notes Comput. Sci. 877, 234--247 (1994; Zbl 0833.11061)
Daudé, Hervé; Flajolet, Philippe; Vallée, Brigitte An analysis of the Gaussian algorithm for lattice reduction. (English) Zbl 0841.11063 Adleman, Leonard M. (ed.) et al., Algorithmic number theory. 1st international symposium, ANTS-I, Ithaca, NY, USA, May 6-9, 1994. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 877, 144-158 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 11H50 11H55 PDFBibTeX XMLCite \textit{H. Daudé} et al., Lect. Notes Comput. Sci. 877, 144--158 (1994; Zbl 0841.11063)
Dekker, T. J. Prime numbers in quadratic fields. (English) Zbl 0827.11078 CWI Q. 7, No. 4, 367-394 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11R11 PDFBibTeX XMLCite \textit{T. J. Dekker}, CWI Q. 7, No. 4, 367--394 (1994; Zbl 0827.11078)
Landau, Susan How to tangle with a nested radical. (English) Zbl 0816.11069 Math. Intell. 16, No. 2, 49-55 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11R32 12Y05 PDFBibTeX XMLCite \textit{S. Landau}, Math. Intell. 16, No. 2, 49--55 (1994; Zbl 0816.11069) Full Text: DOI
Laville, Henri; Vallée, Brigitte Distribution of Hermite’s constant and the shortest vector in lattices of dimension two. (Distribution de la constante d’Hermite et du plus court vecteur dans les réseaux de dimension deux.) (French) Zbl 0841.11033 J. Théor. Nombres Bordx. 6, No. 1, 135-159 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11H50 11H55 11Y16 PDFBibTeX XMLCite \textit{H. Laville} and \textit{B. Vallée}, J. Théor. Nombres Bordx. 6, No. 1, 135--159 (1994; Zbl 0841.11033) Full Text: DOI Numdam EuDML EMIS
Shallit, Jeffrey; Sorenson, Jonathan Analysis of a left-shift binary GCD algorithm. (English) Zbl 0815.11064 J. Symb. Comput. 17, No. 6, 473-486 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11A05 68Q25 PDFBibTeX XMLCite \textit{J. Shallit} and \textit{J. Sorenson}, J. Symb. Comput. 17, No. 6, 473--486 (1994; Zbl 0815.11064) Full Text: DOI
Sorenson, Jonathan Polylog depth circuits for integer factoring and discrete logarithms. (English) Zbl 0802.11058 Inf. Comput. 110, No. 1, 1-18 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y05 11Y16 68Q25 11T30 68W15 94C10 PDFBibTeX XMLCite \textit{J. Sorenson}, Inf. Comput. 110, No. 1, 1--18 (1994; Zbl 0802.11058) Full Text: DOI Link
Veljan, D. Computing values of a polynomial with only few multiplications. (English) Zbl 0794.11049 Inf. Process. Lett. 49, No. 1, 33-37 (1994). Reviewer: H.J.Godwin (Egham) MSC: 11Y99 12Y05 68W30 PDFBibTeX XMLCite \textit{D. Veljan}, Inf. Process. Lett. 49, No. 1, 33--37 (1994; Zbl 0794.11049) Full Text: DOI
Blömer, Johannes Simplifying expressions involving radicals. (English) Zbl 0839.11002 Berlin: FB Math., FU Berlin, 157 p. (1993). Reviewer: H.J.Godwin (Egham) MSC: 11-02 11Y16 12Y05 11Y40 11R11 11R16 11R18 PDFBibTeX XMLCite \textit{J. Blömer}, Simplifying expressions involving radicals. Berlin: FB Math., FU Berlin (1993; Zbl 0839.11002)
Pohst, Michael E. Computational algebraic number theory. (English) Zbl 0817.11063 DMV Seminar. 21. Basel: Birkhäuser. 88 p. (1993). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11-02 11Rxx 11A41 11H06 11R27 11R29 PDFBibTeX XMLCite \textit{M. E. Pohst}, Computational algebraic number theory. Basel: Birkhäuser (1993; Zbl 0817.11063)
Saux Picart, M. Ph. Schur-Cohn sub-transforms of a polynomial. (English) Zbl 0809.12001 J. Symb. Comput. 16, No. 1, 1-7 (1993). Reviewer: H.J.Godwin (Egham) MSC: 12D10 65Y20 PDFBibTeX XMLCite \textit{M. Ph. Saux Picart}, J. Symb. Comput. 16, No. 1, 1--7 (1993; Zbl 0809.12001) Full Text: DOI
Shiu, P. On the \(n\)th composite number. (English) Zbl 0811.11079 Int. J. Comput. Math. 48, No. 3-4, 171-178 (1993). Reviewer: H.J.Godwin (Egham) MSC: 11Y11 11N05 11Y70 PDFBibTeX XMLCite \textit{P. Shiu}, Int. J. Comput. Math. 48, No. 3--4, 171--178 (1993; Zbl 0811.11079) Full Text: DOI
Dixon, B.; Lenstra, A. K. Massively parallel elliptic curve factoring. (English) Zbl 0811.11078 Rueppel, Rainer A. (ed.), Advances in cryptology – EUROCRYPT ’92. Workshop on the theory and applications of cryptographic techniques, Balatonfüred, Hungary, May 24-28, 1992. Proceedings. Berlin: Springer- Verlag. Lect. Notes Comput. Sci. 658, 183-193 (1993). Reviewer: H.J.Godwin (Egham) MSC: 11Y05 11Y16 14H52 68W15 PDFBibTeX XMLCite \textit{B. Dixon} and \textit{A. K. Lenstra}, Lect. Notes Comput. Sci. 658, 183--193 (1993; Zbl 0811.11078)
Zippel, Richard Effective polynomial computation. (English) Zbl 0794.11048 The Kluwer International Series in Engineering and Computer Science. 241. Dordrecht: Kluwer Academic Publ. 374 p. Dfl. 175.00; US$ 87.50; £62.75 /hc (1993). Reviewer: H.J.Godwin (Egham) MSC: 11Y99 11Y05 11-02 12Y05 68W30 PDFBibTeX XMLCite \textit{R. Zippel}, Effective polynomial computation. Dordrecht: Kluwer Academic Publ. (1993; Zbl 0794.11048)
Akritas, Alkivadis G. Sylvester’s forgotten form of the resultant. (English) Zbl 0785.12007 Fibonacci Q. 31, No. 4, 325-332 (1993). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 68Q25 68W30 01A55 PDFBibTeX XMLCite \textit{A. G. Akritas}, Fibonacci Q. 31, No. 4, 325--332 (1993; Zbl 0785.12007)
Suzuki, Masayuki Improvements of the power-series coefficient polynomial remainder sequence GCD algorithm. (English) Zbl 0796.12007 Japan J. Ind. Appl. Math. 10, No. 1, 41-67 (1993). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 11Y99 PDFBibTeX XMLCite \textit{M. Suzuki}, Japan J. Ind. Appl. Math. 10, No. 1, 41--67 (1993; Zbl 0796.12007) Full Text: DOI
Sasaki, Tateaki; Sasaki, Mutsuko A unified method for multivariate polynomial factorizations. (English) Zbl 0796.12006 Japan J. Ind. Appl. Math. 10, No. 1, 21-39 (1993). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 11Y05 PDFBibTeX XMLCite \textit{T. Sasaki} and \textit{M. Sasaki}, Japan J. Ind. Appl. Math. 10, No. 1, 21--39 (1993; Zbl 0796.12006) Full Text: DOI
Murao, Hirokazu; Kobayashi, Hidetsune; Fujise, Tetsuro On factorizing the symbolic \(U\)-resultant. Application of the \(ddet\) operator. (English) Zbl 0796.12003 J. Symb. Comput. 15, No. 2, 123-142 (1993). Reviewer: H.J.Godwin (Egham) MSC: 12E12 13P10 65F30 PDFBibTeX XMLCite \textit{H. Murao} et al., J. Symb. Comput. 15, No. 2, 123--142 (1993; Zbl 0796.12003) Full Text: DOI
Cohen, Henri; Lewin, Leonard; Zagier, Don A sixteenth-order polylogarithm ladder. (English) Zbl 0763.11049 Exp. Math. 1, No. 1, 25-34 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y99 33E99 PDFBibTeX XMLCite \textit{H. Cohen} et al., Exp. Math. 1, No. 1, 25--34 (1992; Zbl 0763.11049) Full Text: EuDML EMIS
Litow, Bruce On iterated integer product. (English) Zbl 0772.11047 Inf. Process. Lett. 42, No. 5, 269-272 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 PDFBibTeX XMLCite \textit{B. Litow}, Inf. Process. Lett. 42, No. 5, 269--272 (1992; Zbl 0772.11047) Full Text: DOI
Maurer, U. M. Some number-theoretic conjectures and their relation to the generation of cryptographic primes. (English) Zbl 0749.11057 Cryptography and coding, Proc. 2nd Conf., Cirencester/UK 1989, Inst. Math. Appl. Conf. Ser., New Ser. 33, 173-191 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y11 94A60 PDFBibTeX XMLCite \textit{U. M. Maurer}, Inst. Math. Appl. Conf. Ser., New Ser. 33, 173--191 (1992; Zbl 0749.11057)
Mignotte, Maurice Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. (English) Zbl 0741.11002 New York etc.: Springer-Verlag. xiv, 346 p. (1992). Reviewer: H.J.Godwin (Egham) MSC: 11-02 12-02 68-02 68W30 12Y05 11Y16 12D10 12D05 11Y05 11Y11 11C08 11T06 13P05 PDFBibTeX XMLCite \textit{M. Mignotte}, Mathematics for computer algebra. Transl. from the French by Catherine Mignotte. New York etc.: Springer-Verlag (1992; Zbl 0741.11002)
Lord, Nick Recent calculations of \(\pi\): The Gauss-Salamin algorithm. (English) Zbl 0805.11086 Math. Gaz. 76, No. 476, 231-242 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11-01 33E05 PDFBibTeX XMLCite \textit{N. Lord}, Math. Gaz. 76, No. 476, 231--242 (1992; Zbl 0805.11086) Full Text: DOI
Landau, Susan Simplification of nested radicals. (English) Zbl 0767.11060 SIAM J. Comput. 21, No. 1, 85-110 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 11Y16 68W30 11R32 PDFBibTeX XMLCite \textit{S. Landau}, SIAM J. Comput. 21, No. 1, 85--110 (1992; Zbl 0767.11060) Full Text: DOI Link
Monagan, Michael B. A heuristic irreducibility test for univariate polynomials. (English) Zbl 0748.12010 J. Symb. Comput. 13, No. 1, 47-57 (1992). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 11Y05 11C08 11Y11 68W30 PDFBibTeX XMLCite \textit{M. B. Monagan}, J. Symb. Comput. 13, No. 1, 47--57 (1992; Zbl 0748.12010) Full Text: DOI
Landau, Susan A note on “Zippel denesting”. (English) Zbl 0767.11061 J. Symb. Comput. 13, No. 1, 41-45 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y40 68W30 11R32 11Y16 PDFBibTeX XMLCite \textit{S. Landau}, J. Symb. Comput. 13, No. 1, 41--45 (1992; Zbl 0767.11061) Full Text: DOI
Eggleton, R. B.; Lacampagne, C. B.; Selfridge, J. L. Euclidean quadratic fields. (English) Zbl 0770.11047 Am. Math. Mon. 99, No. 9, 829-837 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11R11 11A05 PDFBibTeX XMLCite \textit{R. B. Eggleton} et al., Am. Math. Mon. 99, No. 9, 829--837 (1992; Zbl 0770.11047) Full Text: DOI
King, R. B.; Canfield, E. R. Icosahedral symmetry and the quintic equation. (English) Zbl 0766.12007 Comput. Math. Appl. 24, No. 3, 13-28 (1992). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 33E05 12E12 PDFBibTeX XMLCite \textit{R. B. King} and \textit{E. R. Canfield}, Comput. Math. Appl. 24, No. 3, 13--28 (1992; Zbl 0766.12007) Full Text: DOI
Gupta, Omprakash K. On evaluation of powers. (English) Zbl 0764.11054 J. Inf. Optim. Sci. 13, No. 2, 331-336 (1992). Reviewer: H.J.Godwin (Egham) MSC: 11Y99 11A99 PDFBibTeX XMLCite \textit{O. K. Gupta}, J. Inf. Optim. Sci. 13, No. 2, 331--336 (1992; Zbl 0764.11054) Full Text: DOI
Akritas, Alkiviadis G. Sylvester’s form of the resultant and the matrix-triangularization subresultant PRS method. (English) Zbl 0810.12006 Computer aided proofs in analysis, Proc. IMA Participating Inst. Conf., Cincinnati/OH (USA), IMA Vol. Math. Appl. 28, 5-11 (1991). Reviewer: H.J.Godwin (Egham) MSC: 12Y05 68Q25 68W10 PDFBibTeX XMLCite \textit{A. G. Akritas}, IMA Vol. Math. Appl. 28, 5--11 (1991; Zbl 0810.12006)
Cohn, P. M. Euclid’s algorithm - since Euclid. (English) Zbl 0752.11002 Math. Medley 19, No. 2, 65-72 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11A05 16S10 PDFBibTeX XMLCite \textit{P. M. Cohn}, Math. Medley 19, No. 2, 65--72 (1991; Zbl 0752.11002)
Ennola, V. Cubic number fields with exceptional units. (English) Zbl 0732.11054 Computational number theory, Proc. Colloq., Debrecen/Hung. 1989, 103-128 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11R16 11R27 11R29 11Y40 12F05 PDFBibTeX XML
Arno, Steven A note on Perrin pseudoprimes. (English) Zbl 0713.11005 Math. Comput. 56, No. 193, 371-376 (1991). Reviewer: H.J.Godwin MSC: 11A41 11Y11 11B37 11A51 PDFBibTeX XMLCite \textit{S. Arno}, Math. Comput. 56, No. 193, 371--376 (1991; Zbl 0713.11005) Full Text: DOI
Langemyr, Lars Circuits for computing the GCD of two polynomials over an algebraic number field. (English) Zbl 0745.11055 Inf. Process. Lett. 38, No. 3, 129-134 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 11Y40 68W15 68Q25 PDFBibTeX XMLCite \textit{L. Langemyr}, Inf. Process. Lett. 38, No. 3, 129--134 (1991; Zbl 0745.11055) Full Text: DOI
Eldridge, Stephen E. A faster modular multiplication algorithm. (English) Zbl 0744.11003 Int. J. Comput. Math. 40, No. 1-2, 63-68 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11-04 11Y16 68Q25 68W35 PDFBibTeX XMLCite \textit{S. E. Eldridge}, Int. J. Comput. Math. 40, No. 1--2, 63--68 (1991; Zbl 0744.11003) Full Text: DOI
Langemyr, Lars An asymptotically fast probabilistic algorithm for computing polynomial GCD’s over an algebraic number field. (English) Zbl 0762.11049 Applied algebra, algebraic algorithms and error-correcting codes, Proc. 8th Int. Conf., AAECC-8, Tokyo/Jap. 1990, Lect. Notes Comput. Sci. 508, 222-233 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 12Y05 68Q25 13P99 PDFBibTeX XMLCite \textit{L. Langemyr}, Lect. Notes Comput. Sci. None, 222--233 (1991; Zbl 0762.11049)
Langemyr, Lars Algorithms for a multiple algebraic extension. II. (English) Zbl 0774.11076 Applied algebra, algebraic algorithms and error-correcting codes, Proc. 9th Int. Symp., AAECC-9, New Orleans/LA (USA) 1991, Lect. Notes Comput. Sci. 539, 224-233 (1991). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 12Y05 11R09 13P99 PDFBibTeX XMLCite \textit{L. Langemyr}, Lect. Notes Comput. Sci. 539, 224--233 (1991; Zbl 0774.11076)
Odlyzko, A. M. Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results. (English) Zbl 0722.11054 Sémin. Théor. Nombres Bordx., Sér. II 2, No. 1, 119-141 (1990). Reviewer: H.J.Godwin (Egham) MSC: 11R29 11R42 11-02 11Y40 PDFBibTeX XMLCite \textit{A. M. Odlyzko}, Sémin. Théor. Nombres Bordx., Sér. II 2, No. 1, 119--141 (1990; Zbl 0722.11054) Full Text: DOI Numdam EuDML
Gurak, S. Pseudoprimes for higher-order linear recurrence sequences. (English) Zbl 0713.11087 Math. Comput. 55, No. 192, 783-813 (1990). Reviewer: H.J.Godwin MSC: 11Y11 11A51 11B37 11B50 PDFBibTeX XMLCite \textit{S. Gurak}, Math. Comput. 55, No. 192, 783--813 (1990; Zbl 0713.11087) Full Text: DOI
Erdős, Paul Uses of and limitations of computers in number theory. (English) Zbl 0708.11002 Computers and mathematics, Proc. Int. Conf., Stanford/CA (USA) 1986, Lect. Notes Pure Appl. Math. 125, 241-260 (1990). Reviewer: H.J.Godwin MSC: 11-02 11B65 11B83 11Yxx 11N25 11N37 11N60 11B13 11N13 PDFBibTeX XML
Louboutin, Stéphane Minorations (sous l’hypothèse de Riemann généralisée) des nombres de classes des corps quadratique imaginaires. Application. (Explicit lower bounds for class numbers of imaginary quadratic fields (under the generalized Riemann hypothesis). Application). (French) Zbl 0703.11048 C. R. Acad. Sci., Paris, Sér. I 310, No. 12, 795-800 (1990). Reviewer: H.J.Godwin MSC: 11R11 11R29 PDFBibTeX XMLCite \textit{S. Louboutin}, C. R. Acad. Sci., Paris, Sér. I 310, No. 12, 795--800 (1990; Zbl 0703.11048)
Martinet, J. Discriminants and permutation groups. (English) Zbl 0696.12018 Number theory, Proc. 1st Conf. Can. Number Theory Assoc., Banff/Alberta (Can.) 1988, 359-385 (1990). Reviewer: H.J.Godwin MSC: 12F10 11R23 20B25 11R21 PDFBibTeX XML
Zagier, Don A one-sentence proof that every prime \(p\equiv 1\pmod 4\) is a sum of two squares. (English) Zbl 0735.11014 Am. Math. Mon. 97, No. 2, 144 (1990). Reviewer: H.J.Godwin (Egham) MSC: 11D09 11E25 PDFBibTeX XMLCite \textit{D. Zagier}, Am. Math. Mon. 97, No. 2, 144 (1990; Zbl 0735.11014) Full Text: DOI
Wagon, Stan The Euclidean algorithm strikes again. (English) Zbl 0735.11015 Am. Math. Mon. 97, No. 2, 125-129 (1990). Reviewer: H.J.Godwin (Egham) MSC: 11D09 11A05 11Y16 PDFBibTeX XMLCite \textit{S. Wagon}, Am. Math. Mon. 97, No. 2, 125--129 (1990; Zbl 0735.11015) Full Text: DOI
Kukihara, Kenmei Euclidean type algorithm for multiplication modulo \(P\). II. (English) Zbl 0752.11057 J. Inf. Process. 12, No. 2, 147-153 (1989). Reviewer: H.J.Godwin (Egham) MSC: 11Y16 68Q25 PDFBibTeX XMLCite \textit{K. Kukihara}, J. Inf. Process. 12, No. 2, 147--153 (1989; Zbl 0752.11057)
Vasilevich, L. N.; Kolyada, A. A. Scaling in residue number systems. (English. Russian original) Zbl 0780.65087 Cybernetics 25, No. 5, 610-615 (1989); translation from Kibernetika 1989, No. 5, 40-43 (1989). Reviewer: H.J.Godwin (Egham) MSC: 65Y05 65Y20 11A63 PDFBibTeX XMLCite \textit{L. N. Vasilevich} and \textit{A. A. Kolyada}, Cybernetics 25, No. 5, 610--615 (1989; Zbl 0780.65087); translation from Kibernetika 1989, No. 5, 40--43 (1989) Full Text: DOI