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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…
Dorin Ghisa
We dealt in a series of previous publications with some geometric aspects of the mappings by functions obtained as analytic continuations to the whole complex plane of general Dirichlet series. Pictures illustrating those aspects contain a lot of other inform…
Chun-E Huang, Zhongli Liu, Yan Song, Xiruo Wang
Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in L -fuzzy setting are presented. Independent M -fuzzifying set system is introduced and some of it…
A. A. Durmagambetov
The original online version of this article (Durmagambetov , A.A. (2016) The Riemann Hypothesis-Millennium Prize Problem. Advances in Pure Mathematics, 6, 915-920. 10.4236/apm.2016.612069) unfortunately contains a mistake. The author wishes to correct the err…
Nguyen Thi Bich Thuy
In [1], Guillaume and Anna Valette associate singular varieties V F to a polynomial mapping . In the case , if the set K 0 ( F ) of critical values of F is empty, then F is not proper if and only if the 2-dimensional homology or intersection homology (with an…
Diethard Pallaschke, Dieter Pumplün
Order unit normed linear spaces are a special type of regularly ordered normed linear spaces and therefore the first section is a short collection of the fundamental results on this type of normed linear spaces. The connection between order unit normed linear…
Alfred Wünsche
By the second mean-value theorem of calculus (Gauss-Bonnet theorem) we prove that the class of functions with an integral representation of the form with a real-valued function which is non-increasing and decreases in infinity more rapidly than any exponentia…
S. N. Baibekov, A. A. Durmagambetov
This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a number of theorems, which together with theorem of Dirichlet, Siegel and Euler…
Manijeh Esfahani Bahreini
In this paper, a new class of Banach spaces, termed as Banach spaces with property ( MB ) , will be introduced. It is stated that a space X has property ( MB ) if every V -subset of X* is an L -subset of X* . We describe those spaces which have property ( MB…
Hueytzen J. Wu
Without the successful work of Professor Kakutani on representing a unit vector space as a dense vector sub-lattice of in 1941, where X is a compact Hausdorff space and C(X) is the space of real continuous functions on X . Professor M. H. Stone would not begi…
K. Ravi, J. M. Rassias, S. Pinelas, S. Suresh
In this paper, we introduce the following quattuordecic functional equation f(x+7y)-14f(x+6y)+91f(x+5y)-364f(x+4y)+1001f(x+3y)-2002f(x+2y)+3003f(x+y)-3432f(x)+3003f(x-y)-2002f(x-2y)+1001f(x-3y)-364f(x-4y)+91f(x-5y)-14f(x-6y)+f(x-7y)=14!f(y), investigate the g…
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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.
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