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Riemann Zeta function

26 articles

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Article	Title	Journal	Published
JMI-20-01	On an open problem concerning the reciprocal sum related to the Riemann zeta-function Shun-Wei Xu, Bo Zhang, Chao-Ping Chen	Journal of Mathematical Inequalities	Volume 20, Issue 1 03/2026
MIA-29-01	Monotonic sequences and inequalities involving the ratio between two adjacent nonzero Bernoulli numbers Lai-You Bao, Chun-Ying He, Feng Qi	Mathematical Inequalities & Applications	Volume 29, Issue 1 01/2026
JMI-18-45	On a positivity property of the real part of the logarithmic derivative of the Riemann ξ-function Edvinas Goldštein, Andrius Grigutis	Journal of Mathematical Inequalities	Volume 18, Issue 3 09/2024
JCA-24-01	A series of Ramanujan, two-term dilogarithm identities and some Lucas series Kunle Adegoke, Robert Frontczak	Journal of Classical Analysis	Volume 24, Issue 1 07/2024
MIA-26-61	Inequalities for the Riemann zeta function on the positive reals Titus Hilberdink	Mathematical Inequalities & Applications	Volume 26, Issue 4 10/2023
JCA-22-03	On some series involving harmonic and skew-harmonic numbers Vincent Nguyen	Journal of Classical Analysis	Volume 22, Issue 1 07/2023
JCA-19-11	An elementary proof of Ramanujan's identity for odd zeta values Sarth Chavan	Journal of Classical Analysis	Volume 19, Issue 2 04/2022
JCA-17-09	A series representation for Riemann's zeta function and some interesting identities that follow Michael Milgram	Journal of Classical Analysis	Volume 17, Issue 2 04/2021
JCA-17-05	On the generalized Hurwitz-Lerch zeta function and generalized Lambert transform Virendra Kumar	Journal of Classical Analysis	Volume 17, Issue 1 01/2021
JCA-16-01	On the calculation of two essential harmonic series with a weight 5 structure, involving harmonic numbers of the type H_2n Cornel Ioan Vălean	Journal of Classical Analysis	Volume 16, Issue 1 01/2020
JMI-13-82	Lyapunov-type inequalities for certain higher-order half-linear differential equations Haidong Liu	Journal of Mathematical Inequalities	Volume 13, Issue 4 12/2019
JCA-13-04	Remarks on Vălean's master theorem of series Necdet Batir	Journal of Classical Analysis	Volume 13, Issue 1 07/2018
JMI-12-13	New inequalities for some generalized Mathieu type series and the Riemann zeta function H. M. Srivastava, Khaled Mehrez, Živorad Tomovski	Journal of Mathematical Inequalities	Volume 12, Issue 1 03/2018
MIA-21-02	An infinite sequence of inequalities involving special values of the Riemann zeta function Mircea Merca	Mathematical Inequalities & Applications	Volume 21, Issue 1 01/2018
JCA-10-10	A master theorem of series and an evaluation of a cubic harmonic series Cornel Ioan Vălean	Journal of Classical Analysis	Volume 10, Issue 2 04/2017
JMI-11-20	A reciprocal sum related to the Riemann ζ-function Lin Xin, Li Xiaoxue	Journal of Mathematical Inequalities	Volume 11, Issue 1 03/2017
JCA-09-15	Evaluation of a cubic Euler sum Ramya Dutta	Journal of Classical Analysis	Volume 9, Issue 2 10/2016
JCA-08-14	A new proof for a classical quadratic harmonic series Cornel Ioan Vălean	Journal of Classical Analysis	Volume 8, Issue 2 04/2016
JCA-08-11	Harmonic series with polygamma functions Ovidiu Furdui	Journal of Classical Analysis	Volume 8, Issue 2 04/2016
JMI-09-65	A short extension of two of Spira's results T. S. Trudgian	Journal of Mathematical Inequalities	Volume 9, Issue 3 09/2015
MIA-18-44	On more accurate reverse multidimensional half-discrete Hilbert-type inequalities Bicheng Yang	Mathematical Inequalities & Applications	Volume 18, Issue 2 04/2015
JCA-06-09	Reviving the quadratic series of Au-Yeung Cornel Ioan Vălean, Ovidiu Furdui	Journal of Classical Analysis	Volume 6, Issue 2 04/2015
MIA-16-76	An experimental conjecture involving closed-form evaluation of series associated with the Zeta functions Junesang Choi, Hari M. Srivastava	Mathematical Inequalities & Applications	Volume 16, Issue 4 10/2013
JMI-07-16	Another proof of Spira's inequality and its application to the Riemann hypothesis Sadegh Nazardonyavi, Semyon Yakubovich	Journal of Mathematical Inequalities	Volume 7, Issue 2 06/2013
MIA-11-53	On the matrix norms of a GCD related matrix Ercan Altınışık	Mathematical Inequalities & Applications	Volume 11, Issue 4 10/2008