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Asymptotical expansions in the Kubilius theorem of large deviations
Lietuvos Matematikos Rinkinys, 2005 In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
Rimantas Skrabutėnas
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The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
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ON A SUM INVOLVING CERTAIN ARITHMETIC FUNCTIONS ON PIATETSKI–SHAPIRO AND BEATTY SEQUENCES
Проблемы анализа, 2022 Let 𝑐, 𝛼, 𝛽 ∈ R be such that ...
T. Srichan
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IEEE Access, 2023 The Arithmetic Optimization Algorithm (AOA) is a recently proposed metaheuristic algorithm that has been shown to perform well in several benchmark tests.
Nima Khodadadi +7 more
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A Multivariate Arithmetic Function of Combinatorial and Topological Significance [PDF]
Integers, 2009 We investigate properties of a multivariate function E (m 1, m 2, …, m r), called orbicyclic, that arises in enumerative combinatorics in counting non-isomorphic maps on orientable surfaces.
V. Liskovets
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Learning, realizability and games in classical arithmetic [PDF]
, 2011 PhDAbstract. In this dissertation we provide mathematical evidence that the concept of learning can be used to give a new and intuitive computational semantics of classical proofs in various fragments of Predicative Arithmetic.
Aschieri, Federico
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Certifying Zeros of Polynomial Systems Using Interval Arithmetic [PDF]
ACM Transactions on Mathematical Software, 2020 We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, which proves the correctness of an isolated nonsingular solution to a square
Paul Breiding, Kemal Rose, S. Timme
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GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
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On two inequalities for the composition of arithmetic functions [PDF]
, 2012 A paper about two inequalities for the composition of arithmetic ...
József Sándor, Sandor, Jozsef
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Arithmetic coding revisited [PDF]
, 1998 Over the last decade, arithmetic coding has emerged as an important compression tool. It is now the method of choice for adaptive coding on multisymbol alphabets because of its speed, low storage requirements, and effectiveness of compression.
Neal, Radford M. +5 more
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