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Riemann Hypothesis
(Articles)
Asset A. Durmagambetov
Journal of Applied Mathematics and Physics
Vol.5 No.7
,July 18, 2017
DOI:
10.4236/jamp.2017.57117
872
Downloads
2,017
Views
Citations
A Standard Method to Prove That the Riemann Zeta Function Equation Has No Non-Trivial Zeros
(Articles)
Xiaochun Mei
Advances in Pure Mathematics
Vol.10 No.2
,February 28, 2020
DOI:
10.4236/apm.2020.102006
357
Downloads
880
Views
Citations
RETRACTED: The Riemann Hypothesis Holds True: A Rigorous Proof with Mean Formula and Extremum Principle
(Articles)
Jinliang Wang
Applied Mathematics
Vol.10 No.8
,August 22, 2019
DOI:
10.4236/am.2019.108049
624
Downloads
1,298
Views
Citations
Fast Converging Series for Riemann Zeta Function
(Articles)
Hannu Olkkonen
,
Juuso T. Olkkonen
Open Journal of Discrete Mathematics
Vol.2 No.4
,November 1, 2012
DOI:
10.4236/ojdm.2012.24025
3,972
Downloads
6,768
Views
Citations
Approach to a Proof of the Riemann Hypothesis by the Second Mean-Value Theorem of Calculus
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.6 No.13
,December 20, 2016
DOI:
10.4236/apm.2016.613074
1,715
Downloads
2,753
Views
Citations
This article belongs to the Special Issue on
Theory of Complex Variable Function
Approach to Riemann Hypothesis by Combined Commensurable Step Function Approximation with Bonnet Method
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.10 No.5
,May 6, 2020
DOI:
10.4236/apm.2020.105013
226
Downloads
399
Views
Citations
Common Properties of Riemann Zeta Function, Bessel Functions and Gauss Function Concerning Their Zeros
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.9 No.3
,March 29, 2019
DOI:
10.4236/apm.2019.93013
613
Downloads
909
Views
Citations
Modified Double Zeta Function and Its Properties
(Articles)
Arif M. Khan
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63013
2,363
Downloads
2,866
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
The Riemann Hypothesis-Millennium Prize Problem
(Articles)
A. A. Durmagambetov
Advances in Pure Mathematics
Vol.6 No.12
,November 22, 2016
DOI:
10.4236/apm.2016.612069
1,744
Downloads
3,182
Views
Citations
Erratum to “The Riemann Hypothesis-Millennium Prize Problem” [Advances in Pure Mathematics 6 (2016) 915-920]
(Articles)
A. A. Durmagambetov
Advances in Pure Mathematics
Vol.6 No.13
,December 28, 2016
DOI:
10.4236/apm.2016.613077
1,218
Downloads
1,997
Views
Citations
Accelerated Series for Riemann Zeta Function at Odd Integer Arguments
(Articles)
Juuso T. Olkkonen
,
Hannu Olkkonen
Open Journal of Discrete Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/ojdm.2013.31004
3,911
Downloads
6,235
Views
Citations
Log-Time Sampling of Signals: Zeta Transform
(Articles)
Hannu Olkkonen
,
Juuso T. Olkkonen
Open Journal of Discrete Mathematics
Vol.1 No.2
,July 5, 2011
DOI:
10.4236/ojdm.2011.12008
4,430
Downloads
8,610
Views
Citations
The Towering Zeta Function
(Articles)
Michael M. Anthony
Advances in Pure Mathematics
Vol.6 No.5
,April 26, 2016
DOI:
10.4236/apm.2016.65026
2,693
Downloads
3,671
Views
Citations
The Estimation of the Mertens Function
(Articles)
Janusz Czopik
Advances in Pure Mathematics
Vol.9 No.4
,April 29, 2019
DOI:
10.4236/apm.2019.94019
742
Downloads
1,049
Views
Citations
The Connection between the Basel Problem and a Special Integral
(Articles)
Haifeng Xu
,
Jiuru Zhou
Applied Mathematics
Vol.5 No.16
,September 4, 2014
DOI:
10.4236/am.2014.516246
4,007
Downloads
4,549
Views
Citations
This article belongs to the Special Issue on
Sequences and Series
On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces
(Articles)
Muharem Avdispahić
,
Dženan Gušić
Advances in Pure Mathematics
Vol.6 No.12
,November 22, 2016
DOI:
10.4236/apm.2016.612068
1,041
Downloads
1,590
Views
Citations
Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions
(Articles)
Yongshun Liang
Advances in Pure Mathematics
Vol.5 No.1
,January 13, 2015
DOI:
10.4236/apm.2015.51003
2,975
Downloads
3,541
Views
Citations
The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence
(Articles)
Leo Depuydt
Advances in Pure Mathematics
Vol.4 No.8
,August 22, 2014
DOI:
10.4236/apm.2014.48051
4,005
Downloads
4,692
Views
Citations
Lattice Models of Finite Fields
(Articles)
Lucian M. Ionescu
,
Mina M. Zarrin
Advances in Pure Mathematics
Vol.7 No.9
,August 24, 2017
DOI:
10.4236/apm.2017.79030
793
Downloads
1,425
Views
Citations
The Symmetry of Riemann
ξ
-Function
(Articles)
Chuanmiao Chen
Advances in Pure Mathematics
Vol.10 No.8
,August 14, 2020
DOI:
10.4236/apm.2020.108028
159
Downloads
507
Views
Citations
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