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References

  1. L. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Fenn, Nova Ser. A 3 (4) (1941), 171–183.

    Google Scholar 

  2. A. Andreotti and W. Stoll, Analytic and algebraic dependence of meromorphic functions. Lecture Notes in Mathematics, 234 (1971), 390 pp. Springer–Verlag.

    Book  Google Scholar 

  3. A. Baerenstein, Proof of Edrei’s spread conjecture. Proc. London Math. Soc., 26 (1973), 418–434.

    Google Scholar 

  4. A. Biancofiore, A hypersurface defect relation for a class of meromorphic maps, Trans. Amer. Math. Soc., 270 (1982), 47–60.

    Article  Google Scholar 

  5. A. Biancofiore and W. Stoll, Another proof of the lemma of the logarithmic derivative in several complex variables. In “Recent developments in several complex variables,” Annals of Math. Studies, 100, Princeton University Press, Princeton NJ, (1981), 29–45.

    Google Scholar 

  6. L. Bieberbach, Beispiel zweier ganzer Funktionen zweier komplexer Variablen, welche ein schlichte volum treue Abbildung des ℝ4 auf einen Teil seiner selbst vermitteln. Sitz. Ber. preuss. Akad. Wiss, 1933.

    Google Scholar 

  7. E. Borel, Sur les zeros des fonctions entieres, Acta Math., 20 (1897), 357–396.

    Article  Google Scholar 

  8. R. Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections, Acta Math., 114 (1965), 71–112.

    Article  Google Scholar 

  9. D. Burns, Curvature of the Monge–Ampere foliations and parabolic manifolds, Ann. of Math., 115 (1982), 349–373.

    Article  Google Scholar 

  10. J. Carlson, A result on the value distribution of holomorphic maps f : ℂn → ℂn, Proc. Symp. in pure Math., 30 part 2 (1977), 225–228.

    Article  Google Scholar 

  11. J. Carlson and Ph. Griffiths. Defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math., 95 (1972), 557–584.

    Article  Google Scholar 

  12. H. Cartan, Sur les zeros des combinaisons lineaires de p fonctions holomorphes donnees, Mathematica (cluj), 7 (1933), 80–103.

    Google Scholar 

  13. S. S. Chern, Complex analytic mappings of Riemann surfaces I, Amer. J. Math., 82 (1960), 323–337.

    Article  Google Scholar 

  14. S. S. Chern, The integrated form of the first main theorem for complex analytic mappings in several variables, Ann. of Math., (2)71 (1960), 536–551.

    Article  Google Scholar 

  15. C. T. Chuang, Une generalisation d’une inegalite de Nevanlinna, Scientia Sinica, 13 (1964), 887–895.

    Google Scholar 

  16. C. T. Chuang, On the distribution of values of meromorphic functions, Chinese Ann. Math., 1 (1980), 91–114.

    Google Scholar 

  17. E. F. Collingwood, Sur quelques theoremes de M. Nevanlinna, CR Acad. Sci. Paris, 179 (1924), 955–957.

    Google Scholar 

  18. M. Cornalba and Ph. Griffiths. Analytic cycles and vector bundles on non–compact algebraic varieties, Invent. Math., 28 (1975), 1–106.

    Article  Google Scholar 

  19. M. Cornalba and B. Shiffman, A counter example to the “Transcendental Bezout Problem,” Ann. of Math., 96 (1972), 402–406.

    Article  Google Scholar 

  20. M. Cowen, Hermitian vector bundles and value distribution for Schubert cycles, Trans. Amer. Math. Soc., 180 (1973), 189–228.

    Article  Google Scholar 

  21. M. Cowen and Ph. Griffiths, Holomorphic curves and metrics of non– negative curvature, J. Analyse Math., 29 (1976), 93–153.

    Article  Google Scholar 

  22. L. Dektjarev, The general first fundamental theorem of value distribution. Dokl. Akad. Nauk. SSR, 193 (1970), (Soviet Math. Dokl., 11 (1970), 961–963.)

    Google Scholar 

  23. A. Dinghas, Wertverteilung meromorpher Funktionen in einund mehrfach zusammenhängenden Gebieten, Lecture Notes in Mathematics. 783 (1980), 145 pp., Springer–Verlag.

    Google Scholar 

  24. D. Drasin, The inverse problem of Nevanlinna theory, Acta Math., 138 (1977), 83–151.

    Article  Google Scholar 

  25. J. Dusfresnoy. Sur les valeurs exceptionelles des fonctions meromorphes voisines d’une fonction meromorphe donnee, CR Acad. Sci. Parris, 208 (1939), 255–257.

    Google Scholar 

  26. A. Edrei, Solution of the deficiency problem for functions of small lower order, Proc. Lond Math. Soc., 26 (1973), 435–445.

    Article  Google Scholar 

  27. P. Fatou, Sur les fonctions meromorphes de deux variable, CR Acad. Sci. Paris, 175 (1922), 862–865, 1030–1033.

    Google Scholar 

  28. W. H. J. Fuchs, The development of the theory of deficient values since Nevanlinna, Ann. Acad. Scie. Fennicae Ser. A. I. Math., 7 (1982), 33–84.

    Google Scholar 

  29. H. Fujimoto, Remarks to the uniqueness problem of meromorphic maps. I, II, III, IV Nagoya Math. J., 71 (1978), 13–24, 25–41, ibid, 75 (1979), 71–85, ibid 83 (1981), 153–181.

    Google Scholar 

  30. H. Fujimoto, On the defect relation for the derived curves of a holomorphic curve in ℙn(ℂ), Tôkoku Math. J., 34 (1982), 141–160.

    Article  Google Scholar 

  31. H. Fujimoto, Non–integrated defect relation for meromorphic maps into \( {\mathbb{P}^{{N_1}}}\left( \mathbb{C} \right) \times \ldots \times {\mathbb{P}^{{N_k}}}\left( \mathbb{C} \right) \) , (1983), . 44, preprint.

    Google Scholar 

  32. P. M. Gauthier and W. Hengartner, The value distribution of most functions of one or several complex variables, Ann. of Math., 96 (1972), 31–52.

    Article  Google Scholar 

  33. M. Green, Holomorphic maps into complex projective space omitting hyperplanes, Trans. Amer. Math. Soc., 169 (1972), 89–103.

    Article  Google Scholar 

  34. M. Green, Some Picard theorems for holomorphic maps to algebraic varieties, Amer. J. Math., 97 (1975), 43–75.

    Article  Google Scholar 

  35. Ph. Griffiths, Entire holomorphic mappings in one and several complex variables, Annals of Math. Studies, 85 (1976), 99 pp., Princeton Univ. Press, Princeton, NY.

    Google Scholar 

  36. Ph. Griffiths and J. King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math., 130 (1973), 145–220.

    Article  Google Scholar 

  37. F. Gross, Factorization of meromorphic functions, Math. Research Center. Naval Research Laboratory, Washington, D. C. (1972), pp 258.

    Google Scholar 

  38. G. Hällström, Über meromorphe Funktionen mit mehrfach zusammenhängenden Existenzgebieten, Acta Acad. Abo. Math. Phys., 12, 8, (1939), pp 100.

    Google Scholar 

  39. W. K. Hayman, Meromorphic functions, Oxford Math. Monographs, (1964), pp 191.

    Google Scholar 

  40. W. K. Hayman, Some achievements of Nevanlinna theory, Ann. Acad. Scie. Fennicae. Ser. AI Math., 7 (1982), 65–71.

    Google Scholar 

  41. W. K. Hayman, and P. B. Kennedy, Subharmonic functions, London Math. Soc. Monographs 9 Academic Press, London–New York–San Francisco (1976), pp. 281.

    Google Scholar 

  42. W. Hengartner, Famille des traces Sur les droites complexes dune fonction plurisous harmonic du entiere dans ℂn, Comment. Math. Helv., 43 (1968), 358–377.

    Article  Google Scholar 

  43. G. M. Henkin, Solutions with estimates of the H. Lewy and Poincare–Lelong equations. Constructions of functions of the Nevanlinna class with prescribed zeros in strictly pseudoconvex domains, Dokl. Akad. Nauk. SSSR 210 (1975), 771–774. (Soviet Math. Dokl., 16 (1975), 1310–1314.)

    Google Scholar 

  44. C. W. Henson and L. A. Rubel, Some applications of Nevanlinna theory to mathematical logic: Identities of exponential functions, Trans. Amer. Math. Soc., 282 (1984), 1–32.

    Google Scholar 

  45. J. Hirschfelder, The first main theorem of value distribution in several variables, Invent. Math., 8 (1969), 1–33.

    Article  Google Scholar 

  46. H. Kneser, Zur Theorie der gebrochenen Funktionen mehrerer Veränderlichen. Jber. Deutsch. Math. Verein., 48 (1938), 1–28.

    Google Scholar 

  47. R. O. Kuala, Functions of finite λ–type in several complex variables, Trans. Amer. Math. Soc., 161 (1970), 327–358.

    Google Scholar 

  48. O. Lehto, On the birth of Nevanlinna theory, Ann. Acad. Sci. Fennicae Ser. A, I. Math., 7 (1982), 5–23.

    Google Scholar 

  49. P. Lelong, Sur l’extension aux fonctions entieres de n variables, d’ordre fini, d’un development canonique de Weierstrass, CR Acad. Sci. Paris, 237 (1953), 865–867.

    Google Scholar 

  50. P. Lelong, Integration sur une ensemble analytique complexe, Bull. Soc. Math. France, 85 (1975), 328–370.

    Google Scholar 

  51. P. Lelong, Fonctions entieres (n–variables) et fonctions plurisousharmoniques d’ordre fini dans ℂn, J. Analyse Math., 12 (1964), 365–407.

    Article  Google Scholar 

  52. L. Lempert, Boundary behavior of meromorphic functions of several variables, Acta Math., 144 (1980), 1–25.

    Article  Google Scholar 

  53. B. Ja. Levin, Distribution of zeros of entire functions, Transl. of Math. Monographs 5, Americ. Math. Soc., (1964), pp 493.

    Google Scholar 

  54. H. Levine, A theorem on holomorphic mappings into complex projective space, Ann. of Math., (2) 71 (1960), 529–535.

    Article  Google Scholar 

  55. J. Miles, Quotient representation of meromorphic functions, J. Analyse Math., 25 (1972), 371–388.

    Article  Google Scholar 

  56. R. E. Molzon, Sets omitted by equidimensional holomorphic mappings, Amer. J. Math., 101 (1979), 1271–1283.

    Article  Google Scholar 

  57. R. E. Molzon, Degeneracy theorems for holomorphic mappings between algebraic varieties, Trans. Amer. Math. Soc., 270 (1982), 183–192.

    Article  Google Scholar 

  58. R. E. Molzon, Some examples in value distribution theory, Lecture Notes in Mathematics, 981 (1983), 90–101. Springer–Verlag.

    Book  Google Scholar 

  59. R. E. Molzon, B. Shiffman and N. Sibony, Average growth estimates for hyperplane sections of entire analytic sets, Math. Ann., 257 (1981), 43–59.

    Article  Google Scholar 

  60. S. Mori, On the deficiencies of meromorphic maps of ℂm into ℙn(ℂ), Nagoya Math. J., 67 (1977), 165–176.

    Google Scholar 

  61. S. Mori, The deficiencies and the order of holomorphic mappings of ℙℂn into a compact complex manifold, Tôhoku Math. J., 31 (1979), 285–291.

    Article  Google Scholar 

  62. S. Mori, Holomorphic curves with maximal deficiency sum, Kodai Math., J., 2 (1979), 116–122.

    Article  Google Scholar 

  63. S. Mori, Remarks on holomorphic mappings, Contempory Math., 25 (1983), 101–114.

    Article  Google Scholar 

  64. J. Murray, A second main theorem of value distribution theory on Stein manifolds with pseudoconvex exhaustion, Thesis, Notre Dame (1974), pp 1–69.

    Google Scholar 

  65. R. Nevanlinna, Einige Eindentigkeitssätze in der Theorie der meromorphen Funktionen, Acta Math., 48 (1926), 367–391.

    Article  Google Scholar 

  66. R. Nevanlinna, Le Theoreme de Picard–Borel et la Theorie des Fonctions Meromorphes, Gauthiers–Villars, Paris (1929), reprint Chelsea–Publ. Co., New York (1974), pp 171.

    Google Scholar 

  67. R. Nevanlinna, Eindeutige analytische Funktionen 2nd ed. Die Grundl. d. Math. Wiss., 46 (1953), pp 379. Springer–Verlag.

    Google Scholar 

  68. D. J. Newman, Problem 84–6*, The Math. Intelligencer, 6 (2) (1984), 39.

    Article  Google Scholar 

  69. J. Noguchi, A relation between order and defects of meromorphic mappings of ℂn into ℙN(ℂ), Nagoya Math. J., 59 (1975), 97–106.

    Google Scholar 

  70. J. Noguchi, Meromorphic mappings of a covering space over ℂn into a projective variety and defect relations, Hiroshima Math. J., 6 (1976), 265–280.

    Google Scholar 

  71. J. Noguchi, Holomorphic curves in algebraic varieties, Hiroshima Math. J., 7 (1977), 833–853. Supplement: Hiroshima Math. J., 10 (1980), 229–231.

    Google Scholar 

  72. J. Noguchi, On value distribution of meromorphic mappings of covering spaces over Cm into algebraic varieties, pp 35, preprint.

    Google Scholar 

  73. G. Patrizio, Boundary behavior of meromorphic maps, Math. Ann., 261 (1982), 111–132.

    Article  Google Scholar 

  74. E. Picard, Sur une propriete des fonctions entieres, CR Acad. Sci. Paris, 88 (1879), 1024–1027.

    Google Scholar 

  75. J. L. Potier, Fibres vectoriels de rang l d’ordre fini, Bull. Soc. Math. de France, 104 (1976), 349–367.

    Google Scholar 

  76. S. Rickmann, Value distribution of quasimeromorphic mappings, Ann. Acad. Sci. Fenn. A I. Math 7 (1981), 81–85.

    Google Scholar 

  77. L.I. Ronkin, Introduction to the theory of entire functions of several variables. 44 Transl. of Math Monog. (1974) pp273.

    Google Scholar 

  78. L. Sario and K. Noshiro, Value distribution theory, Van Nostrand, Princeton, NJ, (1966), pp 236.

    Book  Google Scholar 

  79. B. Shiffman, Nevanlinna defect relations for singular divisors, Invent. math., 31 (1975), 155–182.

    Article  Google Scholar 

  80. B. Shiffman, Holomorphic curves in algebraic manifolds, Bull. Amer. Math. Soc., 83 (1977), 553–568.

    Article  Google Scholar 

  81. B. Shiffman, On holomorphic curves and meromorphic maps in projective spaces, Indiana Univ. Math. J., 28 (1979), 627–641.

    Article  Google Scholar 

  82. B. Shiffmann, Introduction to Carlson–Griffiths equidistribution theory, Lecture Notes in Mathematics, 981 (1983), 44–89. Springer–Verlag.

    Google Scholar 

  83. B. Shiffman, New defect relations for meromorphic functions on ℂn, Bull Amer. Math. Soc. (New Series), 7 (1982), 599–601.

    Article  Google Scholar 

  84. B. Shiffman, A general second main theorem for meromorphic functions on ℂn, Amer. J. Math., 106 (1984), 509–531.

    Article  Google Scholar 

  85. H. Skoda, Croissançe des fonctions entieres s’annulant sur une hypersurface donnee de ℂn, Seminair P. Lelong 1970–71, Lecture Notes in Mathematics, 275 (1972), 82–105. Springer–Verlag.

    Article  Google Scholar 

  86. H. Skoda, Valeurs au,bord les solutions de l’operateur d”, et caracterisation des zéros des fonctions de la classe Nevanlinna, Bull. Soc. Math. France, 104 (1976), 225–299.

    Google Scholar 

  87. L. Smiley, Dependence theorems for meromorphic maps, Thesis, Notre Dame (1979), pp 57.

    Google Scholar 

  88. L. Smiley, Geometric conditions for unicity of holomorphic curves, Contemp. Math., 25 (1983), 149–154.

    Article  Google Scholar 

  89. J. Spellecy, A defect relation on polydiscs, Thesis, Notre Dame, pp 63.

    Google Scholar 

  90. W. Stoll, Mehrfache Integrale auf komplexen Mannigfaltigkeiten, Math. Zeitschr., 57 (1952), 116–154.

    Article  Google Scholar 

  91. W. Stoll, Ganze Funktionen endlicher Ordnung mit gegebenen Nullstellenflächen, Math. Zeitschr., 57 (1953), 211–237.

    Article  Google Scholar 

  92. W. Stoll, Konstruktion Jacobischer and mehrfach periodischer Funktionen zu gegebenen Nullstellenflächen, Math. Zeitschr., 126 (1953), 31–43.

    Google Scholar 

  93. W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen, I. Acta Math., 90 (1953), 1–115, II Acta Math., 92 (1954), 55–169.

    Article  Google Scholar 

  94. W. Stoll, The growth of the area of a transcendental analytic set I, II Math. Ann., 156 (1964), 47–78, 144–170.

    Article  Google Scholar 

  95. W. Stoll, Normal families of non–negative divisors, Math. Zeitschr., 84 (1964), 154–218.

    Article  Google Scholar 

  96. W. Stoll, A general first main theorem of value distribution, Acta Math., 118 (1967), 111–191.

    Article  Google Scholar 

  97. W. Stoll, About the value distribution of holomorphic maps into projective space, Acta Math., 123 (1969), 83–114.

    Article  Google Scholar 

  98. W. Stoll, Value distribution of holomorphic maps into compact, complex manifolds, Lecture Notes in Mathematics, 135 (1970), pp. 267. Springer–Verlag.

    Google Scholar 

  99. W. Stoll, Value distribution of holomorphic maps. Several Complex Variables I, Lecture Notes in Mathematics, 155 (1970), 165–190. Springer–Verlag.

    Google Scholar 

  100. W. Stoll, Deficit and Bezout estimates. Value Distribution Theory. Part B. (edited by R. O. Kujala and A. L. Vitter III), Pure and Appl. Math., 25 Marcell Dekker, New York (1973), pp 271.

    Google Scholar 

  101. W. Stoll, Holomorphic functions of finite order in several complex variables, CBMS Regional Conference Series in Mathematics 21 Amer. Math. Soc., Providence, RI, (1974), pp 83.

    Google Scholar 

  102. W. Stoll, Aspects of value distribution theory in several complex variables, Bull. Amer. Math. Soc., 83 (1977), 166–183.

    Article  Google Scholar 

  103. W. Stoll, Value distribution on parabolic spaces, Lecture Notes in Mathematics, 600 (1977), pp 216. Springer–Verlag.

    Google Scholar 

  104. W. Stoll, A Casorati–Weierstrass theorem for Schubert zeros of semi–ample, holomorphic vector bundles, Atti Acad. Naz. Lincei. Mem. C1. Sci. Fis. Mat. Natur. Ser. VIIIm 15 (1978), 63–90.

    Google Scholar 

  105. W. Stoll, The characterization of strictly parabolic manifolds, Ann. Scuola. Norm. Sup. Pisa, 7 (1980), 87–154.

    Google Scholar 

  106. W. Stoll, The characterization of strictly parabolic spaces, Compositio Mathematics, 44 (1981), 305–373.

    Google Scholar 

  107. W. Stoll, Introduction to value distribution theory of meromorphic maps, Lecture Notes in Mathematics, 950 (1982), 210–359. Springer–Verlag.

    Google Scholar 

  108. W. Stoll, The Ahlfors–Weyl theory of meromorphic maps on parabolic manifolds, Lecture Notes in Mathematics, 981 (1983), 101–219. Springer–Verlag.

    Google Scholar 

  109. W. Stoll, Value distribution and the lemma of the logarithmic derivative on polydiscs, Internat. J. Math. Sci., 6 (1983), no. 4, 617–669.

    Google Scholar 

  110. P. Thie, The Lelong number of a point of a complex analytic set, Math. Ann., 172 (1967), 269–312.

    Article  Google Scholar 

  111. M. Tsuji, Potential theory in modern function theory, Chelsea Publ. Co., New York, NY, 1975, pp 590.

    Google Scholar 

  112. Ch. Tung, The first main theorem of value distribution on complex spaces, Atti della Acc. Naz d. Lincei Serie VIII,15 (1979), 93–262.

    Google Scholar 

  113. G. Valiron, Lectures on general theory of integral functions, Chelsea Publ. Co., New York, NY, 1949, pp 208.

    Google Scholar 

  114. B. L. Van Der Waerden, Moderne Algebra I, 1 ed. Die Grundl. d. Math. Wiss., 33 (1930), pp 243. Springer–Verlag.

    Google Scholar 

  115. A. Vitter, The lemma of the logarithmic derivative in several complex variables, Duke Math. J., 44 (1977), 89–104.

    Article  Google Scholar 

  116. K. T. W. Weierstrass, Theorie der eindeutigen analytischen Funktionen, Abhandl. Kön. Preuss. Akad. Wiss. Berlin, (1876), 11–60.

    Google Scholar 

  117. A. Weitsman, A theorem on Nevanlinna deficiencies, Acta. Math., 128 (1972), 41–52.

    Article  Google Scholar 

  118. H. Weyl and J. Weyl, Meromorphic curves, Ann. of Math., 39 (1938), 516–538.

    Article  Google Scholar 

  119. H. Weyl and J. Weyl, Meromorphic functions and analytic curves, Annals of Mathematics Studies, 12, Princeton University Press, Princeton, NY, (1943), pp 269.

    Google Scholar 

  120. W. Wirtinger, Ein Integral satz über analytische Gebilde im Gebiete von mehreren komplexen Veränderlichen, Monatshefte Math. Phys., 45 (1937), 418–431.

    Google Scholar 

  121. H. Wittich, Neuere Unterschungen über eindeutige Funktionen, Erg. d. Math. and ihrer Grenzgeb, 2 ed. (1968). Springer-Verlag.

    Book  Google Scholar 

  122. H. Wittich, Anwendungen der Wertverteilungslehre auf gewöhnliche Differentialgleichungen, Ann. Acad. Scie. Fennicae Ser. AI Math., 7 (1982), 89–97.

    Google Scholar 

  123. P. M. Wong, Defect relations for maps on parabolic spaces and Kobayashi metrics on projective spaces omitting hyperplanes, Thesis, Notre Dame, (1976), pp 231.

    Google Scholar 

  124. P. M. Wong, Geometry of the homogeneous complex Monge–Ampere equation, Invent. Math., 67 (1982), 261–274.

    Google Scholar 

  125. H. Wu, Remarks on the first main theorem in equidistribution theory, I, II, III, IV, J. Differential Geometry, 2 (1968), 197–202, 369–384, ibid 3 (1969), 83–94, 433–446.

    Google Scholar 

  126. H. Wu, The equidistribution theory of holomorphic curves, Annals of Mathematics Studies, 64, Princeton Univ. Press, Princeton, NJ, (1970), pp 219.

    Google Scholar 

  127. Lo Yang, Deficient functions of meromorphic functions, Scientia Sinica, 24 (1981), 1179–1189.

    Google Scholar 

  128. O. Zariski and P. Samuel, Commutative Algebraic I, D. Van Nostrand Co., Princeton, NJ, (1958), pp 329.

    Google Scholar 

  129. H. J. W. Ziegler, Vector valued Nevanlinna Theory, Pitman Advanced Publ. Program. Research Notes in Math., 73 (1982), pp 201. Remark. When this manuscript was being completed for publication, Professor Shiffman sent me a preprint of the paper:

    Google Scholar 

  130. Charles F. Osgood, Sometimes effect Thue-Siegel-Roth-Schmidt-Nevanlinna Bounds, or better, to appear in Journal of Number Theory, pp 51. Charles Osgood asserts that he proved the Nevanlinna Conjecture (11.2) under the assumption (11.1) by means of number theory. The paper is difficult to understand and is still under investigation. The result was announced in:

    Google Scholar 

  131. Charles F. Osgood, A fully general Nevanlinna N-small function theorem and a sometimes effective Thue–Siegel–Roth–Schmidt Theorem for solutions to linear differential equation, Contemp. Math., 25 (1983), 129–130.

    Article  Google Scholar 

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Stoll, W. (1985). References. In: Value Distribution Theory for Meromorphic Maps. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-05292-0_13

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