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Über die konstruktive Behandlung mathematischer Probleme

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Über die konstruktive Behandlung mathematischer Probleme. Von Matrizen zu Jordan-Tripelsystemen

Part of the book series: Rheinisch-Westfälische Akademie der Wissenschaften ((VN,volume 307))

Zusammenfassung

Jedes mathematische Problem hat seine konstruktive Seite. Bei der Frage: „Gibt es unendlich viele Primzahlen?“ wissen wir, daß die Ant­wort „ja“ ist.

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Literatur

  1. Errett Bishop: Foundations of Constructive Analysis, McGraw-Hill 1967, pp. 8–10.

    Google Scholar 

  2. O. Blumenthal: Lebensgeschichte, in: D. Hilbert’s Gesammelte Abhandlungen, Bd. 3, S. 402–403.

    Article  Google Scholar 

  3. Hans Zassenhaus: What is an angle? American Math. Monthly 61 (1954), p. 378.

    Article  Google Scholar 

  4. J. Patera, P. Winternitz, H. Zassenhaus: The maximal solvable subgroups of the SU(p, q) groups and all subgroups of SU(2,1), J. Math. Phys. 15 (1974), pp. 1378–1393.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Patera, P. Winternitz, H. Zassenhaus: Continuous subgroups of the fundamental groups of physics, I. General method and the Poincaré group, J. Math. Phys. 16 (1975), pp. 1597–1614.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) no. 4, pp. 239, 261.

    Article  MATH  Google Scholar 

  7. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) 289–309; 3 (1972).

    Google Scholar 

  8. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) no. 2, pp. 91–107; 5 (1974).

    MathSciNet  Google Scholar 

  9. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) no. 1, pp. 17–49.

    MathSciNet  Google Scholar 

  10. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) 7 (1975).

    MathSciNet  Google Scholar 

  11. J. F. Cornwell, J. M. Ekins: Semi-simple real subalgebras of noncompact semi-simple real Lie algebras I-V, Rep. Mathematical Physics 2 (1971) no. 2, pp. 167–203.

    MathSciNet  Google Scholar 

  12. H. Brown, J. Neusüser, H. Zassenhaus: On Integral Groups I-III, Numer. Math. 19 (1972), pp. 386–399.

    MATH  Google Scholar 

  13. H. Brown, J. Neusüser, H. Zassenhaus: On Integral Groups I-III, Numer. Math. 20 (1972/73), pp. 22–31.

    Google Scholar 

  14. H. Brown, J. Neusüser, H. Zassenhaus: On Integral Groups I-III, Numer. Math. Comp. 27 (1973), pp. 167–182.

    MathSciNet  MATH  Google Scholar 

  15. Harold Brown, Rolf Bülow, Joachim Neubüser, Hans Wondratschek, Hans Zassenhaus: Crystallographic groups of four-dimensional space, Wiley, New York 1978, XIV + 443 pp.

    MATH  Google Scholar 

  16. David Yun: Hensel meets Newton — algebraic constructions in an analytic setting, Analytiv computational complexity, Proc. Sympos. Carnegie-Mellon Univ. Pittsburg Pd 1975, Academic Press, New York 1976, pp. 205–215.

    Google Scholar 

  17. Hans Zassenhaus: Gauss theory of ternary quadratic forms, an example of the theory of homogeneous forms in many variables, with applications, Sem. Number Theory, Marcel Dekker 1981.

    Google Scholar 

  18. H. G. Zimmer: Computational Problems, Methods, and Results in Algebraic Number Theory, Springer Lecture Notes 262.

    Google Scholar 

  19. Hans Zassenhaus: The quadratic law of reciprocity and the theory of Galois fields, Proc. Glasgow Math. Ass. 1 (1952), pp. 64–71.

    Google Scholar 

  20. Hans Zassenhaus: Über die Fundamentalkonstruktionen der endlichen Körpertheorie, J. Ber. DMV 70 (1967/68), S. 177–181.

    Google Scholar 

  21. Hans Zassenhaus: On Hensel factorization II, Symposia Mathematica XV, Roma 1973, pp. 499–513.

    Google Scholar 

  22. Stefan Schwarz: Sur le nombre des racines et des facteurs irréductibles d’une congruence donnée. Casopis, Pest. Mat. Fys. 69 (1940),pp. 128–145.

    MathSciNet  Google Scholar 

  23. Stefan Schwarz: Contributions à la réductibilité des polynômes dans la théorie des congruences. Vestnik Krâlowské Ceské Spolecnosti Navk, Trida Matemat-Prirodo red. 1939, no. 7.

    Google Scholar 

  24. Stefan Schwarz: On the reducibility of polynomials over a finite field, Quart. J. Math. Oxford ser. 27 (1956), pp. 1101–24.

    Google Scholar 

  25. David Cantor, Hans Zassenhaus (submitted to Math. Comp.)

    Google Scholar 

  26. Michael O. Rabin Probabilistic algorithms, Algorithms and complexity, Proc. Sympos. Carnegie-Mellon Univ., Pittsburgh, Pa. ( 1967, pp. 21–39 ).

    Google Scholar 

  27. Hans Zassenhaus: On the fundamental theorem of algebra, Amer. Math. Monthly 74 (1967), pp. 485–497.

    Article  MATH  Google Scholar 

  28. Hans Zassenhaus: A real root calculus. Computational Problems in Abstract Algebra, Proc. Conf. Oxford 1967, Pergamon, Oxford 1970, pp. 383–392.

    Google Scholar 

  29. A. Hollkott: Finite Konstruktion geordneter algebraischer Erweiterungen von geordneten Grundkörpern, Dissertation Hamburg 1940, pp. 1–65.

    Google Scholar 

  30. H. Kempfert: On Sign Determinations in Real Algebraic Number Fields, Numerische Mathematik II (1968), pp. 170–174.

    Google Scholar 

  31. Hans Zassenhaus: On Hensel factorization I, J. Number Theory 1 (1969), pp. 291–311.

    Article  MathSciNet  MATH  Google Scholar 

  32. G. Birkhoff: An Elementary Double Inequality for The Roots of An Algebraic Equation Having Greatest Absolute Value, Bull. AMS 21 (1915), pp. 494–495.

    Article  MathSciNet  Google Scholar 

  33. Hans Zassenhaus: A remark on the Hensel factorization method, Math. Comp. 32 (1978), no. 141, pp. 287–292.

    Article  MathSciNet  MATH  Google Scholar 

  34. Hans Zassenhaus: On a problem of Collins, Ann Arbor, August 1980.

    Google Scholar 

  35. Hans Zassenhaus: The Group of an Equation, Nachr. Ak. Wiss. Göttingen Math. Phys. Kl. II (1967), pp. 147–166.

    Google Scholar 

  36. Hans Zassenhaus: On the group of an equation, Computers in algebra and number theory, Proc. Sympos. Appl. Math., New York 1970, pp. 69–88.

    Google Scholar 

  37. F. G. Frobenius: Über Beziehungen zwischen den Primidealen eines algebraischen Körpers und den Substitutionen seiner Gruppe, Sitz. Ber. Berl. Akad. 1896, S. 689–705.

    Google Scholar 

  38. N. Tschebotareff: Die Bestimmung der Dichtigkeit einer Menge von Primzahlen, welche zu einer gegebenen Substitutionsklasse gehören, Math. Annalen 95 (1926), pp. 191–228.

    Article  MathSciNet  Google Scholar 

  39. B. L. van der Waerden: Algebra I, 4. Auflg., S. 198.

    Google Scholar 

  40. Hans Zassenhaus: On the van der Waerden Criterion, Proc. Eurosam Marseilles 1979.

    Google Scholar 

  41. Ann Scrandis Playtis, Surinder Sehgal, Hans Zassenhaus: Equidistributes permutations groups, Comm. Algebra 6 (1978) no. 1.

    Article  MathSciNet  Google Scholar 

  42. Surinder Sehgal, Michael Woltermann: Equidistributed Frobenius groups, submitted for publication in Communications in Algebra.

    Google Scholar 

  43. Hans Zassenhaus: Ein Algorithmus zur Berechnung einer Minimalbasis über gegebener Ordnung, in: Funktionalanalysis, Approximationstheorie, Numerische Mathematik, Birkhäuser, Basel 1967, pp. 90–103.

    Google Scholar 

  44. Hans Zassenhaus: On Structural Stability, Comm. Algebra 8 (1980), pp. 1799–1844.

    Article  MATH  Google Scholar 

  45. Hans Zassenhaus: D. Ford Thesis OSU 1978, Bemerkung von Rudolf Land zu Zassenhaus.

    Google Scholar 

  46. H. Hasse: Lehrbuch der Zahlentheorie, engl. Tr. (Zimmer) 1980.

    Google Scholar 

  47. Hans Zassenhaus: On the units of orders, J. Algebra 20 (1972), pp. 368–395.

    Article  MathSciNet  MATH  Google Scholar 

  48. Hans Zassenhaus: Reduction theory in algebraic number fields, Bull. Amer. Math. Soc. 80 (1974), pp. 955–956.

    Article  MathSciNet  MATH  Google Scholar 

  49. Michael Pohst, Hans Zassenhaus: An Effective Number Geometric Method of Computing the Fundamental Units of an Algebraic Number Field, Math. of Computation 31 (1977), pp. 754–770. II and III submitted to Math. of Comp.

    Article  MATH  Google Scholar 

  50. Hermann Minkowski: Geometrie der Zahlen, B. G. Teubner, Leipzig 1910.

    Google Scholar 

  51. Hermann Minkowski: Diophantische Approximationen, B. G. Teubner, Leipzig 1907.

    Google Scholar 

  52. Hermann Minkowsei: Briefe an David Hilbert, Springer, Berlin Heidelberg New York 1973.

    MATH  Google Scholar 

  53. John von Neumann: The Mathematician, Coll. Works I, 1947, pp. 1–9.

    Google Scholar 

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Authors and Affiliations

  1. Ohio, USA

    Hans J. Zassenhaus

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  1. Hans J. Zassenhaus
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© 1982 Westdeutscher Verlag GmbH Opladen

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Zassenhaus, H.J. (1982). Über die konstruktive Behandlung mathematischer Probleme. In: Über die konstruktive Behandlung mathematischer Probleme. Von Matrizen zu Jordan-Tripelsystemen. Rheinisch-Westfälische Akademie der Wissenschaften, vol 307. VS Verlag für Sozialwissenschaften, Wiesbaden. https://doi.org/10.1007/978-3-322-88193-9_1

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  • DOI: https://doi.org/10.1007/978-3-322-88193-9_1

  • Publisher Name: VS Verlag für Sozialwissenschaften, Wiesbaden

  • Print ISBN: 978-3-531-08307-0

  • Online ISBN: 978-3-322-88193-9

  • eBook Packages: Springer Book Archive

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