Bibliography for the complex logarithms

unabridged

 

  1. Linear Complexity of the Discrete Logarithm
    Konyagin S.; Lange T.; Shparlinski I.
    Designs, Codes and Cryptography, March 2003, vol. 28, no. 2, pp. 135-146(12), Ingenta.   
  2. Some exact rates in the functional law of the iterated logarithm
    Berthet P.; Lifshits M.
    Annales de l'Institut Henri Poincare (B) Probability and Statistics, November 2002, vol. 38, no. 6, pp. 811-824(14), Ingenta.   
  3. A law of the iterated logarithm for wavelet density estimator
    Massiani A.
    Comptes Rendus Mathematique, 15 September 2002, vol. 335, no. 6, pp. 553-556(4), Ingenta.   
  4. Logarithm bispectrum-based approach to radar range profile for automatic target recognition
    Pei B.; Bao Z.; Xing M.
    Pattern Recognition, November 2002, vol. 35, no. 11, pp. 2643-2651(9), Ingenta.   
  5. Polynomial Interpolation of the Discrete Logarithm
    Winterhof A.
    Designs, Codes and Cryptography, January 2002, vol. 25, no. 1, pp. 63-72(10), Ingenta.   
  6. The group of logarithms of moduli of invertible elements.  
    Batikyan, B. T.
    J. Contemp. Math. Anal.  36  (2001),  no. 3, 75--79 (2002);  translated from  Izv. Nats. Akad. Nauk Armenii Mat.  36  (2001),  no. 3, 78--82, MathSciNet.  
  7. A Generalized Logarithm for Exponential-Linear Equations
    Dan Kalman
    College Math Journal, VOL. 32, NO. 1, January 2001, Jstor.  
  8. Orbits under algebraic groups and logarithms of algebraic numbers.
    Fischler, Stéphane
    Acta Arith. 100 (2001), no. 2, 167--187, MathSciNet.  
  9. Experimental investigation of the Coulomb logarithm in beam-plasma interaction
    Shibata K.; Sakumi A.; Sato R.; Tsubuku K.; Nishimoto T.; Hasegawa J.; Ogawa M.; Oguri Y.
    Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 21 May 2001, vol. 464, no. 1, pp. 225-230(6), Ingenta.   
  10. Theoretical and numerical considerations about Pade approximants for the matrix logarithm
    Cardoso J.R.; Silva Leite F.
    Linear Algebra and its Applications, 15 June 2001, vol. 330, no. 1, pp. 31-42(12), Ingenta.    
  11. Approximation of subharmonic functions by logarithms of moduli of entire functions in integral metrics.
    Girnyk, Markiyan; Goldberg, Anatolii
    Entire functions in modern analysis (Tel-Aviv, 1997), 117--135, Israel Math. Conf. Proc., 15, Bar-Ilan Univ., Ramat Gan, 2001, MathSciNet.  
  12. Closed orbits of gradient flows and logarithms of non-abelian Witt vectors.
    Pajitnov, A. V.
    Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday, Part V. K-Theory 21 (2000), no. 4, 301--324, MathSciNet.  
  13. Formes linéaires de logarithmes de points algébriques sur une courbe elliptique de type CM. (French) [Linear forms in logarithms of algebraic points over an elliptic curve of CM type]
    Ably, Mohammed
    Ann. Inst. Fourier (Grenoble) 50 (2000), no. 1, 1--33, MathSciNet.  
  14. On a problem of Mahler concerning the approximation of exponentials and logarithms.
    Waldschmidt, Michel
    Dedicated to Professor Kálmán Györy on the occasion of his 60th birthday. Publ. Math. Debrecen 56 (2000), no. 3-4, 713--738, MathSciNet.  
  15. Conditioning and Padé approximation of the logarithm of a matrix.
    Dieci, Luca; Papini, Alessandra
    SIAM J. Matrix Anal. Appl. 21 (2000), no. 3, 913--930 (electronic), MathSciNet.  
  16. On the law of the iterated logarithm in open queueing networks
    Sakalauskas L.L.; Minkevicius S.
    European Journal of Operational Research, 1 February 2000, vol. 120, no. 3, pp. 632-640(9), Ingenta.    
  17. Logarithms and antilogarithms. An algebraic analysis approach.
    Przeworska-Rolewicz, Danuta
    With an appendix by Zbigniew Binderman. Mathematics and its Applications, 437. Kluwer Academic Publishers, Dordrecht, 1998. x+348 pp. ISBN: 0-7923-4974-1, MathSciNet.  
  18. De Rham Cohomology of Logarithmic Forms on Arrangements of Hyperplanes  
    Jonathan Wiens; Sergey Yuzvinsky  
    Transactions of the American Mathematical Society, Vol. 349, No. 4. (Apr., 1997), pp. 1653-1662, Jstor.  
  19. The double logarithm and Manin's complex for modular curves.  
    Goncharov, A. B.
    Math. Res. Lett.  4  (1997),  no. 5, 617--636, MathSciNet.  
  20. Characterizations of the logarithm as an additive function.
    Phong, Bui Minh
    Ann. Univ. Sci. Budapest. Sect. Comput. 16 (1996), 45--67, MathSciNet.  
  21. The existence of higher logarithms.
    Hain, Richard M.
    Compositio Math. 100 (1996), no. 3, 247--276, MathSciNet.  
  22. Exploring Complex-Base Logarithms (in Notes)  
    Stephen P. Huestis  
    Mathematics Magazine, Vol. 68, No. 1. (Feb., 1995), pp. 65-67, Jstor.  
  23. Conditions on the Logarithmic Derivative of a Function Implying Boundedness  
    T. H. MacGregor; F. Ronning  
    Transactions of the American Mathematical Society, Vol. 347, No. 6. (Jun., 1995), pp. 2245-2254, Jstor.  
  24. Behavior of logarithm of modulus of the sum of Dirichlet series on curves.
    Gaisin, A. M.
    J. Anal. 3 (1995), 205--211, MathSciNet.  
  25. Law of the iterated logarithm and local variations at zero of the sticky Brownian motion
    Amir M.; Knight F.B.
    Statistics and Probability Letters, 15 May 1995, vol. 23, no. 3, pp. 289-295(7), Ingenta.    
  26. Convergence and Logarithm Laws of Self-tuning Regulators
    Guo L.
    Automatica, March 1995, vol. 31, no. 3, pp. 435-450(16), Ingenta.    
  27. The behavior of the logarithm of the absolute value of the sum of a Dirichlet series that converges in a half-plane. (Russian)
    Gaisin, A. M.
    Izv. Ross. Akad. Nauk Ser. Mat. 58 (1994), no. 4, 173--185; translation in Russian Acad. Sci. Izv. Math. 45 (1995), no. 1, 175--186, MathSciNet.  
  28. Complex logarithms, Cauchy principal values, and the complex variable boundary element method.
    Whitley, Robert J.; Hromadka, T. V., II
    Appl. Math. Modelling 18 (1994), no. 8, 423--428, MathSciNet.  
  29. Automates et valeurs de transcendance du logarithme de Carlitz. (French) [Automata and transcendence values of the Carlitz logarithm]  
    Berthé, Valérie
    Acta Arith.  66  (1994),  no. 4, 369--390, MathSciNet.  
  30. The harmonic logarithms and the binomial formula.
    Roman, Steven
    J. Combin. Theory Ser. A 63 (1993), no. 1, 143--163, MathSciNet.  
  31. Banach algebras, logarithms, and polynomials of convolution type.
    Di Bucchianico, A.
    J. Math. Anal. Appl. 156 (1991), no. 1, 253--273, MathSciNet.  
  32. Logarithm of the solution of a linear differential equation, the Hausdorff formula and conservation laws. (Russian)
    Vinokurov, V. A.
    Dokl. Akad. Nauk SSSR 319 (1991), no. 4, 792--797; translation in Soviet Math. Dokl. 44 (1992), no. 1, 200--205, MathSciNet.  
  33. Parametrization of Domains in C: The Logarithmic Domains  
    Johannes Michalicek; Rodolfo Wehrhahn  
    Transactions of the American Mathematical Society, Vol. 320, No. 2. (Aug., 1990), pp. 765-777, Jstor.  
  34. Higher logarithms.
    Hain, Richard M.; MacPherson, Robert
    Illinois J. Math. 34 (1990), no. 2, 392--475, MathSciNet.  
  35. Dependence of logarithms of algebraic points.
    Waldschmidt, M.
    Number theory, Vol. II (Budapest, 1987), 1013--1035, Colloq. Math. Soc. János Bolyai, 51, North-Holland, Amsterdam, 1990, MathSciNet.  
  36. Linear forms in p-adic logarithms.
    Yu, Kun Rui
    Acta Arith. 53 (1989), no. 2, 107--186, MathSciNet.  
  37. Pseudoholomorphe Logarithmusfunktionen. (German) [Pseudoholomorphic logarithm functions]
    Koca, Kerim
    Riv. Mat. Univ. Parma (4) 15 (1989), 1--6, MathSciNet.  
  38. Real hamiltonian logarithm of a symplectic matrix
    Dieci L.
    Linear Algebra and its Applications, 15 September 1998, vol. 281, no. 1, pp. 227-246(20), Ingenta.    
  39. Computing the logarithm of a symmetric positive definite matrix
    Ya Y.L.
    Applied Numerical Mathematics, April 1998, vol. 26, no. 4, pp. 483-496(14), Ingenta.    
  40. On the Uniqueness of the Inverse Logarithmic Potential Problem  
    V. N. Strakhov; M. A. Brodsky  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 2. (Apr., 1986), pp. 324-344, Jstor.  
  41. Logarithmic Convexity for Discrete Harmonic Functions and the Approximation of the Cauchy Problem for Poisson's Equation  
    R. S. Falk; P. B. Monk  
    Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp. 135-149, Jstor.  
  42. Iterations and logarithms of formal automorphisms.
    Praagman, C.
    Aequationes Math. 30 (1986), no. 2-3, 151--160, MathSciNet.  
  43. Numerical solution of nonlinear equations by logarithm complex conversion. (Chinese)
    Tan, He Liang
    Hunan Daxue Xuebao 13 (1986), no. 2, 41--47, MathSciNet.  
  44. Matrix-based algorithm for the calculation of logarithms and applications to cryptography. (Hungarian)
    Gábor, Márkus
    Tanulmányok---MTA Számitástech. Automat. Kutató Int. Budapest No. 170 (1985), 96 pp., MathSciNet.  
  45. Linear forms in elliptic logarithms.
    Yu, Kun Rui
    J. Number Theory 20 (1985), no. 1, 1--69, MathSciNet.  
  46. On the Monodromy of Higher Logarithms  
    Dinakar Ramakrishnan  
    Proceedings of the American Mathematical Society, Vol. 85, No. 4. (Aug., 1982), pp. 596-599, Jstor.  
  47. Some combinatorial aspects of complex logarithms.
    Shannon, A. G.; Horadam, A. F.
    Bull. Number Theory Related Topics 7 (1982), no. 1, 11--16, MathSciNet.  
  48. Evaluation of Complex Logarithms and Related Functions  
    George J. Miel  
    SIAM Journal on Numerical Analysis, Vol. 18, No. 4. (Aug., 1981), pp. 744-750, Jstor.  
  49. Evaluation of complex logarithms and related functions with interval arithmetic.  
    Miel, George J.
    Interval mathematics, 1980 (Freiburg, 1980),  pp. 407--415, Academic Press, New York-London, 1980, MathSciNet.  
  50. A class of linear forms of logarithms of complex numbers. (Chinese)
    Yu, Xiu Yuan; Yu, Kun Rui
    Kexue Tongbao (Chinese) 25 (1980), no. 13, 580--582, MathSciNet.  
  51. Acceleration of Linear and Logarithmic Convergence  
    David A. Smith; William F. Ford  
    SIAM Journal on Numerical Analysis, Vol. 16, No. 2. (Apr., 1979), pp. 223-240, Jstor.  
  52. Continuity properties of fractional powers, of the logarithm, and of holomorphic semigroups.
    Weilenmann, Jürg
    J. Functional Analysis 27 (1978), no. 1, 1--20, MathSciNet.  
  53. Iterated logarithms of entire functions.
    Horowitz, Charles
    Israel J. Math. 29 (1978), no. 1, 31--42, MathSciNet.  
  54. The geometric interpretation of the logarithms of complex numbers in Karsten's treatise of 1768. (Polish)
    Dobrzycki, Stanislaw T
    Kwart. Hist. Nauki i Tech. 22 (1977), no. 3, 529--534, MathSciNet.  
  55. Linear forms in logarithms in the p-adic case.
    Van der Poorten, A. J.
    Transcendence theory: advances and applications (Proc. Conf., Univ. Cambridge, Cambridge, 1976), pp. 29--57. Academic Press, London, 1977, MathSciNet.  
  56. The Logarithmic Center of a Planar Region  
    Douglas Hensley  
    Proceedings of the American Mathematical Society, Vol. 57, No. 2. (Jun., 1976), pp. 266-270, Jstor.  
  57. Invariance of an Integral Average of a Logarithm (in Mathematical Notes)  
    B. C. Carlson  
    The American Mathematical Monthly, Vol. 82, No. 4. (Apr., 1975), pp. 379-382, Jstor.  
  58. On Logarithmic Norms  
    Torsten Strom  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 5. (Oct., 1975), pp. 741-753, Jstor.  
  59. Logarithmic Sobolev Inequalities  
    Leonard Gross  
    American Journal of Mathematics, Vol. 97, No. 4. (Winter, 1975), pp. 1061-1083, Jstor.  
  60. Some Remarks on the Logarithmic Function in the Complex Plane  
    Lowell Schoenfeld  
    Mathematics Magazine, Vol. 32, No. 4. (Mar. - Apr., 1959), pp. 189-202, Jstor.  
  61. On roots and logarithms of elements of a complex Banach algebra.
    Hille, Einar
    Math. Ann. 136 1958 46--57, MathSciNet.  
  62. On the Logarithm of a Uniformly Bounded Operator  
    G. L. Krabbe  
    Transactions of the American Mathematical Society, Vol. 81, No. 1. (Jan., 1956), pp. 155-166, Jstor.  
  63. On the logarithms of bounded matrices.
    Wintner, Aurel
    Amer. J. Math. 74, (1952). 360--364, MathSciNet.  
  64. Logarithmic Properties of a Power of x  
    W. E. Sewell  
    National Mathematics Magazine, Vol. 15, No. 2. (Nov., 1940), pp. 55-60, Jstor.  
  65. The Interrelations of the Fundamental Solutions of the Hypergeometric Equation; Logarithmic Case  
    Lyle E. Mehlenbacher  
    American Journal of Mathematics, Vol. 60, No. 1. (Jan., 1938), pp. 120-128, Jstor.  
  66. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 7. (Sep., 1913), pp. 205-210, Jstor.  
  67. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 4. (Apr., 1913), pp. 107-117, Jstor.  
  68. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 6. (Jun., 1913), pp. 173-182, Jstor.  
  69. History of the Exponenetial and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 5. (May, 1913), pp. 148-151, Jstor.  
  70. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 4. (Apr., 1913), pp. 107-117, Jstor.  
  71. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 3. (Mar., 1913), pp. 75-84, Jstor.  
  72. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 2. (Feb., 1913), pp. 35-47, Jstor.  
  73. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 1. (Jan., 1913), pp. 5-14, Jstor.  
  74. On the Complete Logarithmic Solution of the Cubic Equation  
    R. E. Gleason  
    The Annals of Mathematics, 2nd Ser., Vol. 13, No. 1/4. (1911 - 1912), pp. 120-122, Jstor.  
  75. On Logarithmic Potential and Analytic Functions  
    C. W. Emmons  
    The American Mathematical Monthly, Vol. 17, No. 11. (Nov., 1910), pp. 205-213, Jstor.  
  76. Remarks on the Logarithmic Integrals of Regular Linear Differential Equations  
    Karl Heun  
    American Journal of Mathematics, Vol. 10, No. 3. (Apr., 1888), pp. 205-224, Jstor.  
  77. Evolute to Curve of Logarithmic Sines  
    L. G. Barbour  
    The Analyst, Vol. 4, No. 6. (Nov., 1877), pp. 169-171, Jstor.  

 

 

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