Bibliography for the the Riemann Hypothesis - unabridged

 

  1. New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function
    Coram M.; Diaconis P.
    Journal of Physics A: Mathematical and General, 2003, vol. 36, no. 12, pp. 2883-2906(24), Ingen
  2. On a Joint Limit Distribution of the Riemann Zeta-function in the Space of Analytic Functions
    Sleeviien R.
    Lithuanian Mathematical Journal, October 2002, vol. 42, no. 4, pp. 419-434(16), Ingenta.    
  3. Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function
    Hall R.R.
    Journal of Number Theory, December 2002, vol. 97, no. 2, pp. 397-409(13), Ingenta.    
  4. Linear statistics for zeros of Riemann's zeta function
    Hughes C.; Rudnick Z.
    Comptes Rendus Mathematique, 15 October 2002, vol. 335, no. 8, pp. 667-670(4), Ingenta.    
  5. A Lower Bound in an Approximation Problem Involving the Zeros of the Riemann Zeta Function
    Burnol J-F.
    Advances in Mathematics, September 2002, vol. 170, no. 1, pp. 56-70(15), Ingenta.    
  6. Orders of Power Growth near the Critical Strip of the Riemann Zeta Function
    Makarov V.Y.
    Ukrainian Mathematical Journal, January 2002, vol. 54, no. 1, pp. 154-159(6), Ingenta.    
  7. A Wirtinger Type Inequality and the Spacing of the Zeros of the Riemann Zeta-Function
    Hall R.R.
    Journal of Number Theory, April 2002, vol. 93, no. 2, pp. 235-245(11), Ingenta.    
  8. On Small Values of the Riemann Zeta-Function on the Critical Line and Gaps Between Zeros
    Ivi A.
    Lithuanian Mathematical Journal, January 2002, vol. 42, no. 1, pp. 25-36(12), Ingenta.    
  9. Inverse Scattering, the Coupling Constant Spectrum, and the Riemann Hypothesis
    Khuri N.N.
    Mathematical Physics, Analysis and Geometry, 2002, vol. 5, no. 1, pp. 1-63(63), Ingenta.  
  10. The simplest equivalent of the Riemann hypothesis. (Russian)  
    Lavrik, A. F.; Lavrik-Mennlin, A. A.
    Dokl. Akad. Nauk  385  (2002),  no. 5, 601--603, MathSciNet.
  11. The Riemann hypothesis. (Finnish)
    Jutila, Matti
    Arkhimedes 2001, no. 6, 2002, no. 1, 24--28, MathSciNet.
  12. An observation on the zero-free region of the Riemann zeta-function
    Motohashi Y.
    Periodica Mathematica Hungarica, February 2001, vol. 42, no. 1-2, pp. 117-122(6), Ingenta.    
  13. Quantum spin chains and Riemann zeta function with odd arguments
    Boos H.E.; Korepin V.E.
    Journal of Physics A: Mathematical and General, 2001, vol. 34, no. 26, pp. 5311-5316(6), Ingenta.    
  14. Farey Series and the Riemann Hypothesis. IV
    Yoshimoto M.
    Acta Mathematica Hungarica, 2000, vol. 87, no. 1/2, pp. 109-119(11), Ingenta.  
  15. A Riemann Hypothesis for Characteristic p L-Functions
    Goss D.
    Journal of Number Theory, June 2000, vol. 82, no. 2, pp. 299-322(24), Ingenta.  
  16. A note on Nyman's equivalent formulation of the Riemann hypothesis.
    Burnol, Jean-François
    Algebraic methods in statistics and probability (Notre Dame, IN, 2000), 23--26, Contemp. Math., 287, Amer. Math. Soc., Providence, RI, 2001, MathSciNet.  
  17. The Nyman-Beurling equivalent form for the Riemann hypothesis.
    Balazard, Michel; Saias, Eric
    Expo. Math. 18 (2000), no. 2, 131--138, MathSciNet.  
  18. One Computational Approach in Support of the Riemann Hypothesis
    Anita S.; Boussouar A.; Aizenberg L.; Adamchik V.; Levit V.E.
    Computers and Mathematics with Applications, January 1999, vol. 37, no. 1, pp. 87-94(8), Ingenta.   
  19. Complements to Li's Criterion for the Riemann Hypothesis
    Bombieri E.; Woods J.A.C.C.
    Journal of Number Theory, August 1999, vol. 77, no. 2, pp. 274-287(14), Ingenta.  
  20. The Nevanlinna Functions of the Riemann Zeta-Function
    Shapiro Z.J.H.
    Journal of Mathematical Analysis and Applications, May 1999, vol. 233, no. 1, pp. 425-435(11), Ingenta.     
  21. The Riemann hypothesis and the ABC conjecture. (Dutch)
    Tijdeman, R.
    Summer course 1999: unproven conjectures (Dutch), 31--44, CWI Syllabi, 45, Math. Centrum, Centrum Wisk. Inform., Amsterdam, 1999, MathSciNet.  
  22. Farey Series and the Riemann Hypothesis. II
    Yoshimoto M.
    Acta Mathematica Hungarica, March 1998, vol. 78, no. 4, pp. 287-304(18), Ingenta.   
  23. Lorentz-invariant Hamiltonian and Riemann hypothesis
    Okubo S.
    Journal of Physics A: Mathematical and General, 1998, vol. 31, no. 3, pp. 1049-1057(9), Ingenta.   
  24. The Riemann Hypothesis for the Goss Zeta Function for q[T]
    Goss J.D.T.
    Journal of Number Theory, July 1998, vol. 71, no. 1, pp. 121-157(37), Ingenta.     
  25. Farey Series and the Riemann Hypothesis III
    Kanemitsu S.; Yoshimoto M.
    The Ramanujan Journal, 1997, vol. 1, no. 4, pp. 363-378(16), Ingenta.   
  26. Constructing Nonresidues in Finite Fields and the Extended Riemann Hypothesis  
    Johannes Buchmann; Victor Shoup  
    Mathematics of Computation, Vol. 65, No. 215. (Jul., 1996), pp. 1311-1326, Jstor.  
  27. On the Riemann Hypothesis for the Characteristic p Zeta Function
    Wan D.
    Journal of Number Theory, May 1996, vol. 58, no. 1, pp. 196-212(17), Ingenta.   
  28. Riemann Hypothesis for F p [ T ]
    Diaz-Vargas J.
    Journal of Number Theory, August 1996, vol. 59, no. 2, pp. 313-318(6), Ingenta.   
  29. On the Riemann Hypothesis for the Characteristic p Zeta Function
    Wan D.
    Journal of Number Theory, May 1996, vol. 58, no. 1, pp. 196-212(17), Ingenta.     
  30. Corrigenda for "A Conjecture of S. Chowla via the Generalized Riemann Hypothesis"  
    R. A. Mollin; H. C. Williams  
    Proceedings of the American Mathematical Society, Vol. 123, No. 3. (Mar., 1995), p. 975, Jstor.  
  31. The Riemann hypothesis and inverse spectral problems for fractal strings.
    Lapidus, Michel L.; Maier, Helmut
    J. London Math. Soc. (2) 52 (1995), no. 1, 15--34, MathSciNet.  
  32. Pizza Slicing, Phi's and the Riemann Hypothesis  
    Edward A. Bender; Oren Patashnik; Howard Rumsey, Jr.  
    The American Mathematical Monthly, Vol. 101, No. 4. (Apr., 1994), pp. 307-317, Jstor.  
  33. An Asymptotic Representation for the Riemann Zeta Function on the Critical Line  
    R. B. Paris  
    Proceedings: Mathematical and Physical Sciences, Vol. 446, No. 1928. (Sep. 8, 1994), pp. 565-587, Jstor.  
  34. Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series  
    Jonathan Sondow  
    Proceedings of the American Mathematical Society, Vol. 120, No. 2. (Feb., 1994), pp. 421-424, Jstor.  
  35. Statistical properties of the zeros of zeta functions-beyond the Riemann case
    Bogomolny E.; Leboeuf P.
    Nonlinearity, 1994, vol. 7, no. 4, pp. 1155-1167(13), Ingenta.     
  36. A conjecture which implies the Riemann hypothesis.
    de Branges, Louis
    J. Funct. Anal. 121 (1994), no. 1, 117--184, MathSciNet.  
  37. The Riemann hypothesis for polynomials orthogonal on the unit circle.
    Li, Xian-Jin
    Math. Nachr. 166 (1994), 229--258, MathSciNet.
  38. Simple Zeros of the Riemann Zeta-Function  
    A. Y. Cheer; D. A. Goldston  
    Proceedings of the American Mathematical Society, Vol. 118, No. 2. (Jun., 1993), pp. 365-372, Jstor.  
  39. Necessary and sufficient conditions and the Riemann hypothesis.
    Csordas, George; Varga, Richard S.
    Adv. in Appl. Math. 11 (1990), no. 3, 328--357, MathSciNet.
  40. On the class number of real quadratic fields and the Riemann hypothesis (Turkish).
    Çallalp, Fethi
    Doga Mat. 14 (1990), no. 2, 114--119, MathSciNet.
  41. Minorations (sous l'hypothèse de Riemann généralisée) des nombres de classes des corps quadratiques imaginaires. Application. (French) [Explicit lower bounds for the class numbers of imaginary quadratic fields (under the generalized Riemann hypothesis). Application]
    Louboutin, Stéphane
    C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 12, 795--800, MathSciNet.
  42. A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis  
    R. A. Mollin; H. C. Williams  
    Proceedings of the American Mathematical Society, Vol. 102, No. 4. (Apr., 1988), pp. 794-796, Jstor.  
  43. The Sum of Like Powers of the Zeros of the Riemann Zeta Function  
    D. H. Lehmer  
    Mathematics of Computation, Vol. 50, No. 181. (Jan., 1988), pp. 265-273, Jstor.  
  44. Addenda/Errata: Editor's Corner: A Greeting; and a View of Riemann's Hypothesis (in Addenda, Errata, Etcetera, for 1987)  
    The American Mathematical Monthly, Vol. 94, No. 10. (Dec., 1987), p. 994, Jstor.  
  45. The Editor's Corner: A Greeting; and a View of Riemann's Hypothesis  
    Herbert S. Wilf  
    The American Mathematical Monthly, Vol. 94, No. 1. (Jan., 1987), pp. 3-6, Jstor.  
  46. The Riemann Hypothesis and the Turan Inequalities  
    George Csordas; Timothy S. Norfolk; Richard S. Varga  
    Transactions of the American Mathematical Society, Vol. 296, No. 2. (Aug., 1986), pp. 521-541, Jstor.  
  47. On the Zeros of the Riemann Zeta Function in the Critical Strip. IV  
    J. van de Lune; H. J. J. te Riele; D. T. Winter  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 667-681, Jstor.  
  48. The Riemann hypothesis for Hilbert spaces of entire functions.
    de Branges, Louis
    Bull. Amer. Math. Soc. (N.S.) 15 (1986), no. 1, 1--17, MathSciNet.
  49. On stability properties which are equivalent to Riemann hypothesis.
    Popov, V. M.
    Libertas Math. 5 (1985), 55--61, MathSciNet.
  50. On the Zeros of the Riemann Zeta Function in the Critical Strip. III  
    J. van de Lune; H. J. J. te Riele  
    Mathematics of Computation, Vol. 41, No. 164. (Oct., 1983), pp. 759-767, Jstor.  
  51. On the Zeros of the Riemann Zeta Function in the Critical Strip. II  
    R. P. Brent; J. van de Lune; H. J. J. te Riele; D. T. Winter  
    Mathematics of Computation, Vol. 39, No. 160. (Oct., 1982), pp. 681-688, Jstor.  
  52. Two consequences of the Riemann hypothesis. (Chinese)
    Zhang, Nun Yao; Zhang, Shun Yan
    Beijing Daxue Xuebao 1982, no. 4, 1--6, MathSciNet.
  53. A Simple Approach to the Analytic Continuation and Values at Negative Integers for Riemann's Zeta-Function  
    David Goss  
    Proceedings of the American Mathematical Society, Vol. 81, No. 4. (Apr., 1981), pp. 513-517, Jstor.  
  54. On the Zeros of the Riemann Zeta Function in the Critical Strip  
    Richard P. Brent  
    Mathematics of Computation, Vol. 33, No. 148. (Oct., 1979), pp. 1361-1372, Jstor.  
  55. On the Riemann hypothesis in hyperelliptic function fields.
    Stark, H. M.
    Analytic number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972), pp. 285--302. Amer. Math. Soc., Providence, R.I., 1973, MathSciNet.
  56. Complex Zeros of an Incomplete Riemann Zeta Function and of the Incomplete Gamma Function  
    K. S. Kolbig  
    Mathematics of Computation, Vol. 24, No. 111. (Jul., 1970), pp. 679-696, Jstor.  
  57. Erratum: On the Zeros of the Riemann Zeta-Function  
    B. C. Berndt  
    Proceedings of the American Mathematical Society, Vol. 24, No. 4. (Apr., 1970), p. 839, Jstor.  
  58. On the Zeros of the Riemann Zeta-Function
    Bruce C. Berndt
    Proceedings of the American Mathematical Society, Vol. 22, No. 1. (Jul., 1969), pp. 183-188, Jstor.  
  59. On a Necessary Condition for the Validity of the Riemann Hypothesis for Functions that Generalize the Riemann Zeta Function  
    Ronald Alter  
    Transactions of the American Mathematical Society, Vol. 130, No. 1. (Jan., 1968), pp. 55-74, Jstor.  
  60. The Riemann hypothesis and pseudorandom features of the Möbius sequence.
    Good, I. J.; Churchhouse, R. F.
    Math. Comp. 22 1968 857--861, MathSciNet.
  61. On a necessary condition for the validity of the Riemann hypothesis for functions that generalize the Riemann zeta function.
    Alter, Ronald
    Trans. Amer. Math. Soc. 130 1968 55--74, MathSciNet.
  62. Approximate Functional Approximations and the Riemann Hypothesis  
    Robert Spira  
    Proceedings of the American Mathematical Society, Vol. 17, No. 2. (Apr., 1966), pp. 314-317, Jstor.  
  63. Separation of Zeros of the Riemann Zeta-Function  
    R. Sherman Lehman  
    Mathematics of Computation, Vol. 20, No. 96. (Oct., 1966), pp. 523-541, Jstor.  
  64. The Riemann hypothesis and Hilbert's tenth problem.
    Chowla, S.
    Mathematics and Its Applications, Vol. 4 Gordon and Breach Science Publishers, New York-London-Paris 1965 xv+119 pp, MathSciNet.
  65. The Zeros of the Riemann Zeta-Function  
    E. C. Titchmarsh  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 157, No. 891. (Nov. 2, 1936), pp. 261-263, Jstor.  
  66. On the Roots of the Riemann Zeta Function  
    J. I. Hutchinson  
    Transactions of the American Mathematical Society, Vol. 27, No. 1. (Jan., 1925), pp. 49-60, Jstor.  
  67. On Lindelofs Hypothesis Concerning the Riemann Zeta-Function  
    G. H. Hardy; J. E. Littlewood  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 103, No. 722. (Jun. 1, 1923), pp. 403-412, Jstor.  

 

 

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