Bibliography for the the Riemann Hypothesis - short

 

  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. 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.    
  3. The Riemann hypothesis. (Finnish)
    Jutila, Matti
    Arkhimedes 2001, no. 6, 2002, no. 1, 24--28, MathSciNet.
  4. 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.    
  5. The Nyman-Beurling equivalent form for the Riemann hypothesis.
    Balazard, Michel; Saias, Eric
    Expo. Math. 18 (2000), no. 2, 131--138, MathSciNet.  
  6. 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.     
  7. 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.   
  8. 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.  
  9. 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.  
  10. 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.  
  11. 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.  
  12. 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.  
  13. 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.  
  14. A conjecture which implies the Riemann hypothesis.
    de Branges, Louis
    J. Funct. Anal. 121 (1994), no. 1, 117--184, MathSciNet.  
  15. 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.  
  16. Necessary and sufficient conditions and the Riemann hypothesis.
    Csordas, George; Varga, Richard S.
    Adv. in Appl. Math. 11 (1990), no. 3, 328--357, MathSciNet.
  17. 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.  
  18. 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.  
  19. 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.  
  20. 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.  
  21. 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.  
  22. 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.  
  23. 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.
  24. 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.  
  25. 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.  
  26. 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.  
  27. 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.  
  28. 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.  
  29. 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.  
  30. 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.  
  31. 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.  
  32. The Riemann hypothesis and pseudorandom features of the Möbius sequence.
    Good, I. J.; Churchhouse, R. F.
    Math. Comp. 22 1968 857--861, MathSciNet.
  33. 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.  
  34. Separation of Zeros of the Riemann Zeta-Function  
    R. Sherman Lehman  
    Mathematics of Computation, Vol. 20, No. 96. (Oct., 1966), pp. 523-541, Jstor.  
  35. 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.
  36. 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.  
  37. 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.  
  38. 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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