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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Xianzheng Dong, Chi Zhang, Lizhi Zhang
The stability analysis of the solution mappings for vector equilibrium problems is an important topic in optimization theory and its applications. In this paper, we focus on the continuity of the solution mapping for a parametric generalized strong vector equ…
Serdar Beji
A variant of Fermat’s last Diophantine equation is proposed by adjusting the number of terms in accord with the power of terms and a theorem describing the solubility conditions is stated. Numerically obtained primitive solutions are presented for several cas…
Demetrius Chr. Poulkas, 1 1, 1 1, 1 1
This article presents very original and relatively brief or very brief proofs about of two famous problems: 1) Are there any odd perfect numbers? and 2) “Fermat’s last theorem: A new proof of theorem and its generalization”. They are achieved with elementary…
Dorin Ghisa
Lie groups of bi-M ö bius transformations are known and their actions on non orientable n -dimensional complex manifolds have been studied. In this paper, m -M ö bius transformations are introduced and similar problems as those related to bi-M ö…
J.-F. Pommaret
When a differential field K having n commuting derivations is given together with two finitely generated differential extensions L and M of K , an important problem in differential algebra is to exhibit a common differential extension N in order to define the…
Simon Aloff, Michael Miniere, John T. Saccoman
In this paper, we investigate the algebraic structure of certain 2-generator groups of permutations of the integers. The groups fall into two infinite classes: one class terminates with the quaternion group and the other class terminates with the Klein-four g…
Alagu Somasundaram, Rukhmoni Kala
Three classical compactification procedures are presented with nonstandard flavour. This is to illustrate the applicability of Nonstandard analytic tool to beginners interested in Nonstandard analytic methods. The general procedure is as follows: A suitable e…
Serdar Beji
Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases representing equations from different categories ar…
Mansour Alyazidi
We consider the relation between the simultaneous approximation of two functions and the uniform approximation to one of these functions. In particular, F 1 and F 2 are continuous functions on a closed interval [ a , b ], S is an n -dimensional Chebyshev subs…
Chuanmiao Chen, 1 1, 1 1
This paper will prove Riemann conjecture(RC): All zeros of ξ ( τ ) lie on critical line. Denote , and on critical line. We have found two mysteries in Riemann’s paper. The first mystery is the equivalence: is uniquely determined by its initial value u ( t ) .…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
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