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Original Articles

One transformation formula related to the Riemann zeta-function

Pages 577-583 | Received 23 Nov 2007, Published online: 28 Oct 2008

References

  • Hardy , G. H. and Littlewood , J. E. 1918 . Contributions to the theory of the Riemann zeta-function and the theory of the distribution of primes . Acta Math. , 41 : 119 – 196 .
  • Ingham , A. E. 1926 . Mean-value theorems in the theory of the Riemann zeta-function . Proc. Lon. Math. Soc. , 27 ( 2 ) : 273 – 300 .
  • Laurinčikas , A. 1996 . Limit Theorems for the Riemann Zeta-Function , Kluwer : Dordrecht .
  • Lukkarinen , M. 2005 . The Mellin transform of the square of Riemann's zeta-function and Atkinson's formula . Ann. Acad. Sci. Fenn. Math. Diss. , 140 Suomalainen Tiedeakatemia, Helsinki
  • Titchmarsh , E. C. 1928 . The mean-square of the zeta-function on the critical line . Proc. Lon. Math. Soc. , 27 ( 2 ) : 135 – 150 .
  • Titchmarsh , E. C. 1939 . The Theory of Functions , Oxford : Oxford University Press .
  • Titchmarsh , E. C. 1986 . The Theory of the Riemann Zeta-Function , 2 , Oxford : Clarendon Press . revised by D.R. Heath-Brown

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