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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
4,442
Downloads
5,934
Views
Citations
The Exponential Function as Split Infinite Product
(Articles)
Pál Doroszlai
,
Horacio Keller
Advances in Pure Mathematics
Vol.12 No.4
,April 22, 2022
DOI:
10.4236/apm.2022.124024
133
Downloads
620
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
1,081
Downloads
2,037
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
4,756
Downloads
6,244
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
1,255
Downloads
2,154
Views
Citations
Selection of Coherent and Concise Formulae on Bernoulli Polynomials-Numbers-Series and Power Sums-Faulhaber Problems
(Articles)
Do Tan Si
Applied Mathematics
Vol.13 No.10
,October 28, 2022
DOI:
10.4236/am.2022.1310051
97
Downloads
505
Views
Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
3,056
Downloads
4,345
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
3,223
Downloads
4,318
Views
Citations
New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation
(Articles)
Yan Luo
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 9, 2019
DOI:
10.4236/jamp.2019.71002
738
Downloads
1,344
Views
Citations
Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method
(Articles)
Youzhi Tu
Open Journal of Applied Sciences
Vol.10 No.3
,March 19, 2020
DOI:
10.4236/ojapps.2020.103008
356
Downloads
866
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
1,073
Downloads
2,423
Views
Citations
Generalized Series of Bernoulli Type
(Articles)
Thomas Beatty
,
Nicholas Bianco
,
Nicole Legge
Advances in Pure Mathematics
Vol.13 No.9
,August 31, 2023
DOI:
10.4236/apm.2023.139035
83
Downloads
395
Views
Citations
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle
(Articles)
Seyed Mohammadali Ali. Raeisian
American Journal of Computational Mathematics
Vol.2 No.4
,December 20, 2012
DOI:
10.4236/ajcm.2012.24038
4,497
Downloads
7,570
Views
Citations
The Electromagnetic Operator of Mass
(Articles)
Hosam Mahmoud Maksoud
Journal of Applied Mathematics and Physics
Vol.11 No.10
,October 31, 2023
DOI:
10.4236/jamp.2023.1110207
57
Downloads
467
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
388
Downloads
1,279
Views
Citations
Probability Models with Discrete and Continuous Parts
(Articles)
James E. Marengo
,
David L. Farnsworth
Open Journal of Statistics
Vol.12 No.1
,February 21, 2022
DOI:
10.4236/ojs.2022.121006
312
Downloads
1,850
Views
Citations
A Technique for Estimation of Box Dimension about Fractional Integral
(Articles)
Ruhua Zhang
Advances in Pure Mathematics
Vol.13 No.10
,October 31, 2023
DOI:
10.4236/apm.2023.1310049
66
Downloads
246
Views
Citations
Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
(Articles)
Pierre Gaillard
Journal of Modern Physics
Vol.4 No.2
,February 27, 2013
DOI:
10.4236/jmp.2013.42035
4,975
Downloads
7,611
Views
Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,797
Downloads
6,603
Views
Citations
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
(Articles)
Zhimin Zhao
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.3 No.5
,May 11, 2015
DOI:
10.4236/jamp.2015.35059
3,405
Downloads
4,747
Views
Citations
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