ArticlesArchiveAboutEditorial BoardAuthor Guidelines
Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
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…
Sobhy El-Sayed Ibrahim
In this paper, we consider the general ordinary quasi-differential expression τ of order n with complex coefficients and its formal adjoint τ + on the interval [ a , b ) . We shall show in the case of one singular end-point and under suitable conditions that…
Jorge Julián Sánchez Martínez
This work shows, after a brief introduction to Riemann zeta function , the demonstration that all non-trivial zeros of this function lies on the so-called “critical line”, , the one Hardy demonstrated in his famous work that infinite countable zeros of the ab…
Pal Doroszlai, Horacio Keller
The union of the straight and over the point of reflection—reflected series of the arithmetic progression of primes results in the double density of occupation of integer positions. It is shown that the number of free positions left by the double density of o…
Dorin Ghisa
M ö bius transformations, which are one-to-one mappings of onto have remarkable geometric properties susceptible to be visualized by drawing pictures. Not the same thing can be said about m -M ö bius transformations f m mapping onto . Even for the s…
Jing Wu, Chang Wang, Jinlong Yang, Hong Xu
In this paper, we mainly study the orbital graphs of primitive groups with the socle A 7 x A 7 which acts by diagonal action. Firstly, we calculate the element conjugate classes of A 7 , then we discuss the stabilizer of two points in A 7 . Finally, according…
Bahloul Rachid
The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2 π ) with the periodic condition x (0) = x (2 π ) , where a ∈ L 1 (R + ) . Our approach is based on the M-boundedness of linear operators B s p,…
Tingzhu Chen, Wanzhou Ye
In this paper, we propose a robust mixture regression model based on the skew scale mixtures of normal distributions (RMR-SSMN) which can accommodate asymmetric, heavy-tailed and contaminated data better. For the variable selection problem, the penalized like…
Masashi Furuta
The purpose of this study is to prove the Collatz conjecture using a theorem proving system. First, the division sequence is defined as an alignment of the number of times division by 2 is performed in the Collatz operation. Then, the star conversion is defin…
Pál Doroszlai, Horacio Keller
It is known that the prime-number-formula at any distance from the origin has a systematic error. It is shown that this error is proportional to the square of the number of primes present up to the square root of the distance. The proposed completion of the p…
Bibek Baran Nag
The original online version of this article (Bibek Baran Nag (2021) An Elementary Proof of Fermat’s Last Theorem for Epsilons, Volume 11(8), 735-740 doi: https://doi.org/10.4236/apm.2021.118048) unfortunately contains two typographical mistakes. The author wi…
No articles in this issue.
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.
The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
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.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
Declare all funding sources, conflicts of interest, and ethical approvals (including informed consent and animal-care statements where applicable).