References
- H. Davenport, Multiplicative Number Theory, Springer 1980, 2nd ed. revised by H. L. Montgomery.
- A. Fujii, Uniform distribution of the zeros of the Riemann zeta function and the mean value theorems of Dirichlet L-functions, Proc. Japan Acad. Ser. A Math. Sci. 63 (1987), no. 9, 370-373. https://doi.org/10.3792/pjaa.63.370
- A. Fujii, Zeta zeros and Dirichlet L-functions, Proc. Japan Acad. Ser. A Math. Sci. 64 (1988), no. 6, 215-218. https://doi.org/10.3792/pjaa.64.215
- A. Fujii, Some observations concerning the distribution of the zeros of the Zeta functions. II, Comment. Math. Univ. St. Pauli 40 (1991), no. 2, 125-231.
- A. Fujii, On a conjecture of Shanks, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 4, 109-114, 1994. https://doi.org/10.3792/pjaa.70.109
- A. Fujii, On the distribution of values of derivative of the Riemann zeta function at its zeros. I, Proc. Steklov Inst. Math. 276 (2012), no. 1, 51-76. https://doi.org/10.1134/S0081543812010063
- R. Garunkstis, J. Grahl, and J. Steuding, Uniqueness Theorem for L-functions, Comment. Math. Univ. St. Pauli 60 (2011), no. 1-2, 15-35.
-
R. Garunkstis and J. Steuding, On the roots of the equation
${\zeta}$ (s) = a, Abh. Math. Semin. Univ. Hambg. 84 (2014), no. 1, 1-15. https://doi.org/10.1007/s12188-014-0093-7 - S. M. Gonek, Mean values of the Riemann zeta-function and its derivatives, Invent. Math. 75 (1984), no. 1, 123-141. https://doi.org/10.1007/BF01403094
- S. M. Gonek, S. J. Lester, and M. B. Milinovich, A note on simple a-points of L-functions, Proc. Amer. Math. Soc. 140 (2012), no. 12, 4097-4103. https://doi.org/10.1090/S0002-9939-2012-11275-4
- G. A. Hiary and A. M. Odlyzko, Numerical study of the derivative of the Riemann zeta function at zeros, ArXiv:1105.4312.
- M.-T. Jakhlouti and K. Mazhouda, Distribution of the values of the derivative of the Riemann zeta function at its a-points, Unif. Distrib. Theory 9 (2014), no. 1, 115-125.
- A. F. Lavrik, The approximate functional equation for Dirichlet L-functions, Tr. Mosk. Mat. Obs. 18 (1968), 91-104.
-
N. Levinson, More than one third of zeros of Riemann's zeta function are one
${\sigma}$ = 1/2, Adv. in Math. 13 (1974), 383-436. https://doi.org/10.1016/0001-8708(74)90074-7 - K. Mazhouda and S. Omar, Mean-square of L-functions in the Selberg class, New directions in value-distribution theory of zeta and L-functions, 249-263, Ber. Math., Shaker Verlag, Aachen, 2009.
- T. Onozuka On the a-points of the derivatives of the Riemann zeta, European J. Math. 3 (2017), no. 1, 53-76. https://doi.org/10.1007/s40879-016-0124-2
- K. Prachar, Primzahlverteilung, Springer-Verlag, Wien, 1957.
- V. Rane, On an approximate functional equation for Dirichlet L-series, Math. Ann. 264 (1983), no. 2, 137-145. https://doi.org/10.1007/BF01457520
- A. Selberg, Old and new conjectures and results about a class of Dirichlet series, in: Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), 367-385, Univ. Salerno, Salerno, 1992.
- J. Steuding, Value-distribution of L-functions, Lecture Notes in Mathematics, 1877, Springer, 2007.