Výsledky vyhľadávania - "ARITHMETIC functions"

Arithmetic functions on a Dedekind domain.

Autori: Phillips, Andrew¹ (AUTHOR) aphillips1@collegeofidaho.edu

Zdroj: Communications in Algebra. Nov2025, p1-23. 23p.

Predmety: *ARITHMETIC functions, *COMMUTATIVE rings, *INTEGRAL domains, *POWER series

Use of simple arithmetic operations to construct efficiently implementable Boolean functions possessing high nonlinearity and good resistance to algebraic attacks.

Autori: Carlet, Claude Sarkar, Palash

Zdroj: Discrete Applied Mathematics. Oct2025, Vol. 373, p256-270. 15p.

Predmety: *ARITHMETIC functions, *COMPUTATIONAL complexity, *BOOLEAN functions, *ARITHMETIC, *INTEGERS

Averages of multiplicative functions along equidistributed sequences

Autori: Stephanie Chan Peter Koymans Carlo Pagano a ďalší

Zdroj: arXiv
Journal of Number Theory, 273

Predmety: multiplicative functions, Mathematics - Number Theory, Sieve theory, Arithmetic functions, related numbers, inversion formulas, FOS: Mathematics, Asymptotic results on arithmetic functions, Rate of growth of arithmetic functions, Number Theory (math.NT), sieve theory, Multiplicative functions

Popis súboru: application/xml; application/application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2402.08710
https://zbmath.org/7995932
https://doi.org/10.1016/j.jnt.2025.01.005
http://hdl.handle.net/20.500.11850/684644
http://hdl.handle.net/20.500.11850/728168

On the generalization of Roth's theorem.

Autori: Dolce, Paolo Zucconi, Francesco

Zdroj: Kyoto Journal of Mathematics. 2025, Vol. 65 Issue 3, p503-535. 33p.

Predmety: *ARITHMETIC functions, *GENERALIZATION

The Chowla conjecture and Landau–Siegel zeroes.

Autori: JASKARI, MIKKO SACHPAZIS, STELIOS

Zdroj: Mathematical Proceedings of the Cambridge Philosophical Society. Jul2025, Vol. 179 Issue 1, p167-187. 21p.

Predmety: *NUMBER theory, *ARITHMETIC functions, *DIRICHLET series, *MATHEMATICAL bounds

Graphs with three and four distinct eigenvalues based on circulants

Autori: Bašić, Milan

Zdroj: Linear Algebra and its Applications. 718:30-57

Predmety: FOS: Computer and information sciences, Eigenvalues, singular values, and eigenvectors, Discrete Mathematics (cs.DM), 05C50, 05E30, 11A07, 11A15, 11A25, Graphs and linear algebra (matrices, eigenvalues, etc.), spectra, Ramanujan functions, power residues, Arithmetic functions, related numbers, inversion formulas, circulant graphs, Graphs and abstract algebra (groups, rings, fields, etc.), Power residues, reciprocity, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, Congruences, primitive roots, residue systems, Combinatorics (math.CO), graph operations, Computer Science - Discrete Mathematics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2310.06203

A generalisation of q-additive functions.

Autori: Mišík, Ladislav Porubský, Štefan

Zdroj: Mathematica Slovaca. Jun2025, Vol. 75 Issue 3, p525-536. 12p.

Predmety: *ARITHMETIC functions, *NUMBER systems, *GENERALIZATION

On the number of points with bounded dynamical canonical height.

Autori: Takehira, Kohei¹ (AUTHOR) kohei.takehira.p5@dc.tohoku.ac.jp

Zdroj: Journal of Number Theory. Jun2025, Vol. 271, p216-245. 30p.

Predmety: *ARITHMETIC functions, *NUMBER theory, *PROJECTIVE spaces, *SPECIAL functions, *ARITHMETIC

The Least Common Multiple of Consecutive Terms in the Cubic Progression {n3+4}n=1∞.

Autori: Fei, Shuanglin Zhu, Guangyan

Zdroj: Algebra Colloquium. Jun2025, Vol. 32 Issue 2, p229-248. 20p.

Predmety: *ARITHMETIC functions, *PERIODIC functions, *INTEGERS, *POLYNOMIALS

On average behavior of a hybrid arithmetic function associated to Hecke eigenvalues of cusp forms over the values of a multivariate polynomial.

Autori: Sharma, Anubhav Sankaranarayanan, Ayyadurai

Zdroj: International Journal of Mathematics. Jun2025, Vol. 36 Issue 7, p1-20. 20p.

Predmety: *QUADRATIC forms, *ARITHMETIC functions, *VALUES (Ethics), *INTEGERS, *EIGENVALUES

Some structural aspects of the ring of arithmetical functions: Prime ideals and beyond.

Autori: Goswami, Amartya Kleyn, Danielle Porrill, Kerry

Zdroj: Journal of Algebra & Its Applications. May2025, p1. 16p.

Predmety: *PRIME ideals, *ARITHMETIC functions, *DIMENSION theory (Algebra), *NOETHERIAN rings, *IDEALS (Algebra), *MATHEMATICS

Implementation of Energy-Efficient Approximate Computing via Recursive Multiplier in Error-Tolerant Applications.

Autori: Karthikkumar, M. Kalaivani, R.

Zdroj: Journal of Circuits, Systems & Computers. 5/15/2025, Vol. 34 Issue 7, p1-23. 23p.

Predmety: *ARITHMETIC functions, *IMAGE processing, *ARITHMETIC, *LOGIC

A generalized Ramanujan sum over a residually finite Dedekind domain.

Autori: Qi, T.¹ (AUTHOR) tfqiluck@njit.edu.cn

Zdroj: Acta Mathematica Hungarica. Apr2025, Vol. 175 Issue 2, p333-351. 19p.

Predmety: *FINITE rings, *ARITHMETIC functions, *GENERALIZATION

Uniform distribution of polynomially-defined additive functions to varying moduli

Autori: Agbolade Akande

Zdroj: International Journal of Number Theory. 21:959-973

Predmety: Other results on the distribution of values or the characterization of arithmetic functions, uniform distribution, additive function, residue classes, Mathematics - Number Theory, 11A25 (Primary) 11N64, 11N36 (Secondary), Arithmetic functions, related numbers, inversion formulas, exponential sums

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.04199
https://zbmath.org/8014156
https://doi.org/10.1142/s1793042125500484

Weighted Erdős–Kac theorems via computing moments: Weighted Erdős-Kac theorems via computing moments

Autori: Fan, Kai (Steve)

Zdroj: Acta Arithmetica. 217:99-158

Predmety: Distribution functions associated with additive and positive multiplicative functions, Erdős-Kac theorem, Arithmetic functions in probabilistic number theory, method of moments, Gaussian distribution, FOS: Mathematics, Asymptotic results on arithmetic functions, Number Theory (math.NT), mean values of multiplicative functions, 11K65, 11N60, 11N37

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7981259
https://doi.org/10.4064/aa231014-9-8

The provably total functions of basic arithmetic and its extensions: The provably total functions of basic arithmetic...: M. Ardeshir et al.

Autori: Ardeshir, Mohammad Khaniki, Erfan Shahriari, Mohsen

Zdroj: Archive for Mathematical Logic. Feb2025, Vol. 64 Issue 1, p205-257. 53p.

Predmety: *PHILOSOPHY of mathematics, *ARITHMETIC functions, *CONSTRUCTIVE mathematics, *ARITHMETIC, *LOGIC

ON A PROBLEM OF PONGSRIIAM ON THE SUM OF DIVISORS.

Autori: WANG, RUI-JING¹ (AUTHOR) wangruijing271@163.com

Zdroj: Bulletin of the Australian Mathematical Society. Feb2025, Vol. 111 Issue 1, p13-18. 6p.

Predmety: *ARITHMETIC functions, *INTEGERS, *MATHEMATICS, *ARITHMETIC series

ARITHMETIC PROPERTIES OF AN ANALOGUE OF t -CORE PARTITIONS.

Autori: TALUKDAR, PRANJAL¹ (AUTHOR) pranjaltalukdar113@gmail.com

Zdroj: Bulletin of the Australian Mathematical Society. Feb2025, Vol. 111 Issue 1, p68-79. 12p.

Predmety: *PARTITION functions, *ARITHMETIC functions, *NUMBER theory, *MODULAR forms, *THETA functions, *GEOMETRIC congruences

Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization.

Autori: Fel, Leonid G.¹ (AUTHOR) lfel@technion.ac.il

Zdroj: Mathematics (2227-7390). Jan2025, Vol. 13 Issue 2, p281. 43p.

Predmety: *ASYMPTOTIC analysis, *ARITHMETIC functions, *DIRICHLET series, *NUMBER theory, *PRIME numbers

Closed-form expressions of the run-length distribution of the nonparametric double sampling precedence monitoring scheme.

Autori: Magagula, Zwelakhe Malela-Majika, Jean-Claude Human, Schalk William a ďalší

Zdroj: Computational Statistics. Jan2025, Vol. 40 Issue 1, p273-299. 27p.

Predmety: *ARITHMETIC functions, *QUALITY control charts, *MATHEMATICAL statistics, *ARTIFICIAL intelligence, *MARKOV processes