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Advances in Pure Mathematics

ISSN Print: 2160-0368

ISSN Online: 2160-0384

Website: http://www.scirp.org/journal/apm

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Three- and Four-Dimensional Generalized Pythagorean Numbers

Alfred Wünsche

On the Number of Primes in the Interval (x, 2x) by an Elementary Method

Sudhindra B. Kittur

Preliminary Identification of a Prime Number Other Than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer

Mady Ndiaye

Existence of a H？lder Continuous Extension on Embedded Balls of the 3-Torus for the Periodic Navier Stokes Equations

Terry E. Moschandreou

Adjustments for Kurtosis and Continuity on the Prentice Test

Lily Gebhart, John Kolassa

On the Proof of the Contradiction of Set Theory

Yury M. Volin

From Control Theory to Gravitational Waves

Jean-Francois Pommaret

Tree of Fermat-Pramanik Series and Solution of AM +B2 =C2 with Integers Produces a New Series of (C12- B12)=(C22- B22)=(C32- B32)=Others

Panchanan Pramanik, Susmita Pramanik, Sabyasachi Sen

Groupoid Approach to Ergodic Dynamical System of Commutative von Neumann Algebra

Nicholas O. Okeke, Murphy E. Egwe

Spherical Functions on Fuzzy Lie Group

Murphy E. Egwe, Samuel S. Sangodele

Hyper Catastrophe on 4-Dimensional Canards

Kiyoyuki Tchizawa, Shuya Kanagawa

Optimal Estimation of High-Dimensional Covariance Matrices with Missing and Noisy Data

Meiyin Wang, Wanzhou Ye

How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)

John Richard Wisdom

Economy Function in the Mode of Sustainable Development

Nicholas Simon Gonchar

A Procedure for Trisecting an Acute Angle (Method 2)

Lyndon O. Barton

A New Proof for Congruent Number’s Problem via Pythagorician Divisors

Léopold Dèkpassi Keuméan, Fran？ois Emmanuel Tanoé

Fermat and Pythagoras Divisors for a New Explicit Proof of Fermat’s Theorem:a4 + b4 = c4. Part I

Prosper Kouadio Kimou, Fran？ois Emmanuel Tanoé, Kouassi Vincent Kouakou

Origin of Sexy Prime Numbers, Origin of Cousin Prime Numbers, Equations from Supposedly Prime Numbers, Origin of the Mersenne Number, Origin of the Fermat Number

Mady Ndiaye

HB-Continuous Mappings in L-Topological Space

Najah A. AlSaedi

On Two Types of Stability of Solutions to a Pair of Damped Coupled Nonlinear Evolution Equations

Mark Jones

On Some Topological Properties of Normed Boolean Algebras

Vesna Gotovac ？oga？

The Periodic Table of Primes

Han-Lin Li, Shu-Cherng Fang, Way Kuo

Embedding an FIR in a Body

Moumouni Djassibo Woba

New Asymptotic Results on Fermat-Wiles Theorem

Kimou Kouadio Prosper, Kouakou Kouassi Vincent, Tanoé Fran？ois

On Perron’s Formula and the Prime Numbers

Michael M. Anthony

Stochastic Maximum Principle for Optimal Advertising Models with Delay and Non-Convex Control Spaces

Giuseppina Guatteri, Federica Masiero

Euler Product Expressions of Absolute Tensor Products of Dirichlet L-Functions

Hidenori Tanaka, Shin-ya Koyama

Evaluation of Generalized Error Function via Fast-Converging Power Series

Serdar Beji

Solving Invariant Problem of Cauchy Means Based on Wronskian Determinant

Yingjun Ni, Fen Wang

Unified Control Theory from PID to ACPID

Zhezhao Zeng, Yuqi Tang

Connected Components in Bipolar Fuzzy Digital Plane

Stephen Macharia Gathigi, Moses Nderitu Gichuki, Kewamoi Chesire Sogomo

Super-Fast Approximation Algorithms Using Classical Fourier Tools

Anry Nersessian

Convergence Phenomenon with Fourier Series of tg( x 2 ) and Alike

Alfred Wünsche

How to Prove Riemann Conjecture by Riemann’s Four Theorems

Chuanmiao Chen

Constitutive Model for Rubberlike Materials

Fuzhang Zhao

New Numerical Integration Formulations for Ordinary Differential Equations

Serdar Beji

Lychrel Numbers in Base 10: A Probabilistic Approach

Rostand S. Kuitché

Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group

Huimin Cheng, Feng Zhou

From H？lder Continuous Solutions of 3D Incompressible Navier-Stokes Equations to No-Finite Time Blowup on [ 0,∞ ]

Terry E. Moschandreou

A General Analytic Approximation Technique for the Modified Bessel Functions with Fractional Order Iv (x), Applied to I1/6(x) and I1/7(x)

Jorge Olivares, Pablo Martín, Maria T. Veliz

The Construction and Analysis of Linear Ring Spaces

Daniel A. Jaffa

Boundedness Types of Perturbations on the Growth of Semigroups

Zuheir Khidir Ahmed Abdelgader, Nariman Khider Ahmed Abdalgadir, Entisar Bakhit Bashir Elshikh, Abualez Alamin Ahmed Ali

Near-Vector Spaces Constructed over Zp, for p a Prime

Kelone Tefoetsile, Jeromy Kalunga, Mathews Zimba, James Muchinga, Saviour Chibeti, Henry M. Phiri

Pythagorician Divisors and Applications to Some Diophantine Equations

Fran？ois Emmanuel Tanoé, Prosper Kouadio Kimou

An Introduction to the Theory of Matrix Near-Rings

Saviour Chibeti, Iness Kyapwanyama

A Procedure for the Squaring of a Circle (of Any Radius)

Lyndon O. Barton

An Introduction to the Theory of Field Extensions

Saviour Chibeti, Iness Kyapwanyama, Henry M. Phiri, Jeromy Kalunga

Isomorphism Continuum Stored Energy Functional for Finite Thermoelastic Deformation

Fuzhang Zhao

Slip Condition Effects on Unsteady MHD Fluid Flow with Radiative Heatflux over a Porous Medium

Abdullahi Ahmad, Muhammad Nasir Sarki

Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation

Yuting Zhong, Renzhi Lu, Heng Su

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