Results 21 to 30 of about 4,959 (254)
Counting geodesics of given commutator length
Forum of Mathematics, Sigma, 2023 Let $\Sigma $ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those periodic geodesics in $\Sigma $ having at most length L and which can be written as the product of g commutators.
Viveka Erlandsson, Juan Souto
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Error term of the mean value theorem for binary Egyptian fractions
Open Mathematics, 2020 In this article, the error term of the mean value theorem for binary Egyptian fractions is studied. An error term of prime number theorem type is obtained unconditionally. Under Riemann hypothesis, a power saving can be obtained.
Xiao Xuanxuan, Zhai Wenguang
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A note on the primality of sums [PDF]
Surveys in Mathematics and its Applications, 2022 It is shown that when adding a large number to a set of much smaller numbers, the number of primes or twin ranks (see text) in the resulted sumset can be substantially larger than the theoretical values given by the Prime Number Theorem or Hardy ...
Antonie Dinculescu
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The Bombieri-Vinogradov theorem for nilsequences
Discrete Analysis, 2021 The Bombieri-Vinogradov theorem for nilsequences, Discrete Analysis 2021:21, 55 pp. The prime number theorem asserts that the density of the primes in the vicinity of a large integer $n$ is approximately $1/\log n$, or equivalently that the number of ...
Xuancheng Shao, Joni Teräväinen
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New Semi-Prime Factorization and Application in Large RSA Key Attacks
Journal of Cybersecurity and Privacy, 2021 Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable. Further, this property has been applied in public-key cryptography, such as the Rivest–Shamir–Adleman (RSA) encryption systems for ...
Anthony Overmars +1 more
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Korselt Numbers Through Computational Algorithms [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023 The Korselt numbers and sets were discussed for the first time in 2007. The problem can be considered as a new one with limited literature making it as a new field of research. Let N be a positive integer and α a non-zero integer.
Khalid Adarbeh +2 more
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non-divisibility for abelian groups
پژوهشهای ریاضی, 2022 Introduction In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
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Simple Method for Realizing Weil Theorem in Secure ECC Generation
Tsinghua Science and Technology, 2017 How to quickly compute the number of points on an Elliptic Curve (EC) has been a longstanding challenge. The computational complexity of the algorithm usually employed makes it highly inefficient.
Feng Hu +3 more
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Toward the Unification of Physics and Number Theory [PDF]
Reports in Advances of Physical Sciences, 2019 This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
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$\mathscr{T}$-Commuting Generalized Derivations on Ideals and Semi-Prime Ideal-II
Математичні Студії, 2022 The study's primary purpose is to investigate the $\mathscr{A}/\mathscr{T}$ structure of a quotient ring, where $\mathscr{A}$ is an arbitrary ring and $\mathscr{T}$ is a semi-prime ideal of $\mathscr{A}$.
N. U. Rehman, H. M. Alnoghashi
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