본문 바로가기
KERD
논문KCI 등재

On Some Sums at the a-points of Derivatives of the Riemann Zeta-Function

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Let ζ(k) (s) be the k-th derivative of the Riemann zeta function and a be a complex number. The solutions of ζ(k) (s) = a are called a-points.

Abstract

Let ζ(k) (s) be the k-th derivative of the Riemann zeta function and a be a complex number. The solutions of ζ(k) (s) = a are called a-points.

참고문헌 (14)

  1. H. Bohr, "Sur la fonction ζ(s) dans le voisinage de la droite σ = ½", Bull. de l’Acad. royale de Belgique, pp.3~35 (1913)
  2. J. B. Conrey, "Analytic Number Theory", pp.95~110 (1990), Birkhauser Boston
  3. A. Fujii, "On the Distribution of Values of Derivative of the Riemann Zeta Function at Its Zeros. I", Proc. Steklov Inst. Math., 276, pp.51~76 (2012)
  4. R. Garunkštis, "On the roots of the equation ζ(s)= a", Abh. Math. Semin. Univ. Hambg., 84, pp.1~15 (2014)
  5. D. A. Kaptan, "Some Mean Value Theorems for the Riemann Zeta-Function and Dirichlet L-Functions", Comment. Math. Univ. St. Pauli, 60(1-2), pp.83~87 (2011)
  6. Y. Karabulut, "Some mean value problems concerning the Riemann zeta function", M.Sc., pp.2009
  7. Y. Karabulut, "On some averages at the zeros of the derivatives of the Riemann zeta-function", J. Number. Theory., 131, pp.1939~1961 (2011)
  8. N. Levinson, "Almost all roots of ζ(s)= a are arbitrarily close to σ = 1", 2, 1975, pp.72, 1322~1324
  9. T. Onozuka, "On the a-points of the derivatives of the Riemann zeta", Eur. J. Math., 3(1), pp.53~76 (2017)
  10. A. Selberg, "Old and new conjectures and results about a class of Dirichlet series", Proceedings of the Amalfi Conference on Analytic Number Theory, Maiori 1989, pp.367~385 (1992), Universit`a di Salerno
  11. J. Steuding, "One hundred years uniform distribution modulo one and recent apprications to Riemann’s zeta function", Topics in Math. Analysis and Applications, 94, pp.659~698 (2014)
  12. J. Steuding, "Value-distribution of L-functions, Lecture Notes in Mathematics 1877", pp.126~127 (2007), Springer
  13. E. C. Titchmarsh, "The Theory of the Riemann Zeta-function" (1986), Oxford University Press
  14. S. M. Voronin, "The distribution of the non-zero values of the Riemann zeta-function", Izv. Akad. Nauk Inst. Steklov, 128, pp.131~150 (1972)

관련 논문AI추천

이 간행물의 다른 논문 (11건)