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Original Articles

A mixed joint universality theorem for zeta‐functions

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Pages 431-446 | Received 31 Aug 2010, Published online: 10 Feb 2011

References

  • Bagchi , B. 1981 . “ The statistical behaviour and universality properties of the Riemann zeta‐function and other allied Dirichlet series ” . Calcutta : Indian Statistical Institute . PhD Thesis, doi:10.1007/s10625–005–0242‐y.
  • Billingsley , P. 1968 . Convergence of Probability Measures , New York : Wiley and Sons . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 1996 . Limit Theorems for the Riemann Zeta‐Function , Dordrecht : Kluwer . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2003 . The universality of zeta‐functions . Acta Appl. Math. , 78 (1–3) : 251 – 271 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2006 . The joint universality for periodic Hurwitz zeta‐functions . Analysis (Munich) , 26 (3) : 419 – 428 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2007 . Voronin‐type theorem for periodic Hurwitz zeta‐functions . Matem Sb. , 198 (2) : 91 – 102 .
  • 2007 . Sb. Math. , 198 (2) : 231 – 242 . (in Russian) =, doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2008 . On joint universality of periodic Hurwitz zeta‐functions . Lith. Math. J. , 48 (1) : 79 – 91 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2008 . The joint universality for periodic Hurwitz zeta‐functions . Izv. RAN, Ser. Matem. , 72 (4) : 121 – 140 . (in Russian) =
  • 2008 . Izv. Math. , 72 (4) : 741 – 760 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. 2010 . Joint universality of zeta‐functions with periodic coefficients . Izv. RAN, Ser. Matem. , 74 (3) : 79 – 102 . (in Russian) =
  • 2010 . Izv. Math. , 74 (3) : 515 – 539 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. and Skerstonaite , S. 2008 . A joint universality theorem for periodic Hurwitz zeta‐functions. I . Lith. Math. J , 48 (3) : 287 – 296 . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. and Skerstonaite , S. 2009 . “ Joint universality for periodic Hurwitz zeta‐functions. II ” . In New Directions in Value‐Distribution Theory of Zeta and L‐functions , Edited by: Steuding , R. and Steuding , J. 161 – 170 . Aachen : Shaker Verlag . doi:10.1007/s10625–005–0242‐y.
  • Laurinčikas , A. and Garunkštis , R. 2002 . The Lerch Zeta‐Function , Dordrecht : Kluwer . doi:10.1007/s10625–005–0242‐y.
  • Conway , J.B. 1973 . Functions of One Complex Variable , New York : Springer‐Verlag . doi:10.1007/s10625–005–0242‐y.
  • Cramér , H. and Leadbetter , M. R. 1967 . Stationary and Related Stochastics Processes , New York : Wiley . doi:10.1007/s10625–005–0242‐y.
  • Gonek , S. M. 1979 . Analytic properties of zeta and L‐functions , University of Michigan . Ph. D. Thesis, doi:10.1007/s10625–005–0242‐y.
  • Heyer , H. 1977 . Probability Measures on Locally Compact Groups. , Berlin, Heidelberg, New York : Springer‐Verlag . doi:10.1007/s10625–005–0242‐y.
  • Javtokas , A. and Laurinčikas , A. 2006 . On the periodic Hurwitz zeta‐function . Hardy‐Ramanujan J. , 29 : 18 – 36 . doi:10.1007/s10625–005–0242‐y.
  • Javtokas , A. and Laurinčikas , A. 2006 . The universality of the periodic Hurwitz zeta‐function . Integral Transforms and Special Functions , 17 (10) : 711 – 722 . doi:10.1007/s10625–005–0242‐y.
  • Matsumoto , K. 2004 . Probababilistic value‐distribution theory of zeta‐functions . Sugaku Expositions , 17 (1) : 51 – 71 . doi:10.1007/s10625–005–0242‐y.
  • Steuding , J. 2007 . Value‐Distribution of L‐Functions, Lecture Notes in Math , vol. 1877 , Berlin, Heidelberg, New York : Springer‐Verlag . doi:10.1007/s10625–005–0242‐y.
  • Voronin , S. M. 1975 . On the functional independence of Dirichlet L‐functions . Acta Arith. , 27 : 493 – 503 . (in Russian). doi:10.1007/s10625–005–0242‐y.
  • Voronin , S. M. 1975 . Theorem on the “universality” of the Riemann zeta‐function . Izv. Akad. Nauk. SSSR, Ser. Matem. , 39 (3) : 475 – 486 . (in Russian)=
  • 1975 . Math. USSR Izv. , 9 (3) : 443 – 453 . doi:10.1007/s10625–005–0242‐y.
  • Walsh , J. L. 1960 . Interpolation and approximation by rational functions in the complex domain . Amer. Math. Soc. Colloq. Publ. , 20 doi:10.1007/s10625–005–0242‐y.

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