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On certain arithmetical functions of exponents in the factorization of integers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Some new results for the maximum and minimum exponents in factorizing integers are obtained. Related functions and generalized arithmetical functions are also introduced.
József Sándor, Krassimir T. Atanassov
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On epimorphisms and structurally regular semigroups [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class
Aftab Shah +3 more
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The Frobenius number associated with the number of representations for sequences of repunits
Comptes Rendus. Mathématique, 2023 The generalized Frobenius number is the largest integer represented in at most $p$ ways by a linear combination of nonnegative integers of given positive integers $a_1,a_2,\,\dots ,\,a_k$. When $p=0$, it reduces to the classical Frobenius number. In this
Komatsu, Takao
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Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
Cryptography, 2021 The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers +1 more
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Generalized Universal Coding of Integers
CoRR, 2022 Universal coding of integers~(UCI) is a class of variable-length code, such that the ratio of the expected codeword length to $\max\{1,H(P)\}$ is within a constant factor, where $H(P)$ is the Shannon entropy of the decreasing probability distribution $P$.
Wei Yan 0014 +2 more
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Generalized integer splines on arbitrary graphs
Discrete Mathematics, 2023 20 pages, 8 ...
Lauren L. Rose, Jeff Suzuki
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On generalized degenerate Euler–Genocchi polynomials
Applied Mathematics in Science and Engineering, 2023 We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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HS-integral and Eisenstein integral mixed circulant graphs
Theory and Applications of Graphs, 2023 A mixed graph is called \emph{second kind hermitian integral} (\emph{HS-integral}) if the eigenvalues of its Hermitian-adjacency matrix of the second kind are integers.
Monu Kadyan, Bikash Bhattacharjya
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Generalized Nonaveraging Integer Sequences [PDF]
Integers, 2012 Abstract.Let the ...
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The Hermitian -Conjugate Generalized Procrustes Problem
Abstract and Applied Analysis, 2013 We consider the Hermitian -conjugate generalized Procrustes problem to find Hermitian -conjugate matrix such that is minimum, where , , , and (, ) are given complex matrices, and and are positive integers. The expression of the solution to Hermitian
Hai-Xia Chang +2 more
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