Distance between consecutive elements of the multiplicative group of integers modulo n

Συγγραφείς: Steven Brown

Πηγή: Notes on Number Theory and Discrete Mathematics, Vol 30, Iss 1, Pp 081-099 (2024)

Θεματικοί όροι: sieves, sieve of eratosthenes, modular arithmetic, multiplicative group of integers modulo, chinese remainder theorem, inclusion-exclusion principle, euler's phi function, nagell's totient function, prime numbers, jacobsthal function, primorial, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: https://nntdm.net/papers/nntdm-30/NNTDM-30-1-081-099.pdf; https://doaj.org/toc/1310-5132; https://doaj.org/toc/2367-8275

Σύνδεσμος πρόσβασης: https://doaj.org/article/18a74519b5fe4804aa081ffacc0ddf9c

A class of solutions of the equation d(n²) = d(φ(n))

Συγγραφείς: Zahra Amroune, Djamel Bellaouar, Abdelmadjid Boudaoud

Πηγή: Notes on Number Theory and Discrete Mathematics, Vol 29, Iss 2, Pp 284-309 (2023)

Θεματικοί όροι: diophantine equations, euler's phi function, Mathematics, QA1-939

Περιγραφή αρχείου: electronic resource

Relation: https://nntdm.net/papers/nntdm-29/NNTDM-29-2-284-309.pdf; https://doaj.org/toc/1310-5132; https://doaj.org/toc/2367-8275

Σύνδεσμος πρόσβασης: https://doaj.org/article/41122e8f81a64ac583b8bfa4a0557f2e

On Determination of

Συγγραφείς: Debnath, Anjan^Aff11, Adhikari, Avishek^Aff12

Συνεισφορές: Cavas-Martínez, Francisco, Series Editor^Aff1, Chaari, Fakher, Series Editor^Aff2, Gherardini, Francesco, Series Editor^Aff3, Haddar, Mohamed, Series Editor^Aff4, Ivanov, Vitalii, Series Editor^Aff5, Kwon, Young W., Series Editor^Aff6, Trojanowska, Justyna, Series Editor^Aff7, Mishra, S. R., editor^Aff8, Dhamala, T. N., editor^Aff9, Makinde, O. D., editor^Aff10

Πηγή: Recent Trends in Applied Mathematics : Select Proceedings of AMSE 2019. :47-58

A simple proof of generalizations of number-theoretic sums

Συγγραφείς: Yanapat Tongron, Narakorn Rompurk Kanasri

Πηγή: Songklanakarin Journal of Science and Technology (SJST), Vol 44, Iss 2, Pp 450-458 (2022)

Θεματικοί όροι: arithmetic function, euler’s phi-function, möbius function, möbius inversion formula, Technology, Technology (General), T1-995, Science, Science (General), Q1-390

Περιγραφή αρχείου: electronic resource

Relation: https://rdo.psu.ac.th/sjst/journal/44-2/22.pdf; https://doaj.org/toc/0125-3395

Σύνδεσμος πρόσβασης: https://doaj.org/article/8863d723529544afa4ba7555e3ea076a

Inequalities for the Arithmetical Functions of Euler and Dedekind

Συγγραφείς: Alzer, Horst^{Aff1, IDCMJ2020053018_cor1}, Kwong, Man Kam

Πηγή: Czechoslovak Mathematical Journal. 70(3):781-791

A Note on Variants of Euler's Φ-Function

Συγγραφείς: Sertbas, Doga Can, Goral, Haydar, Buyukasik, Engin

Θεματικοί όροι: Bernoulli numbers, Euler's phi-function, prime number theory

Relation: Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/11147/14645; https://doi.org/10.5486/PMD.2024.9674; 105; WOS:001303046100005; Q3

Διαθεσιμότητα: https://hdl.handle.net/11147/14645
https://doi.org/10.5486/PMD.2024.9674

New properties of even perfect numbers and the mathematical reasons that suggest there are no odd perfect numbers ; Nuevas propiedades de números perfectos pares y las razones matemáticas que sugieren que no existen números perfectos impares

Συγγραφείς: Villarroel, Alexander, Villarroel, Francisco

Πηγή: Impacto Científico; Vol. 18 Núm. 1 (2023): Revista Impacto Científico; 129-162 ; 2542-3207 ; 1856-5042

Θεματικοί όροι: Euler's phi function, even perfect numbers, odd perfect numbers, triangular numbers, hexagonal numbers, Función phi de Euler, números perfectos pares, números perfectos impares, números triangulares, números hexagonales

Περιγραφή αρχείου: application/pdf

Relation: https://www.produccioncientificaluz.org/index.php/impacto/article/view/40290/45723; https://www.produccioncientificaluz.org/index.php/impacto/article/view/40290

Διαθεσιμότητα: https://www.produccioncientificaluz.org/index.php/impacto/article/view/40290

Representation Numbers of Stars

Συγγραφείς: Akhtar, Reza^{aff1_w2aab2b8c15b1b7b1aab1b3b3Aa}, Evans, Anthony B.^{aff2_w2aab2b8c15b1b7b1aab1b3b4Aa}, Pritikin, Dan^{aff1_w2aab2b8c15b1b7b1aab1b3b3Aa}

Πηγή: Integers. 10(6):733-745

Διαθεσιμότητα: https://www.degruyter.com/document/doi/10.1515/integ.2010.054/html

An extension of a result of Lehmer on numbers coprime to n

Συγγραφείς: CODECA', Paolo, NAIR, Mohan K.

Πηγή: The Ramanujan Journal. 16:59-71

Θεματικοί όροι: 0101 mathematics, 01 natural sciences, Euler's phi-function, Discrepancy, Lehmer's bounds

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s11139-007-9095-8
https://core.ac.uk/display/9358760

Some Mean Values Related to Average Multiplicative Orders of Elements in Finite Fields: Some mean values related to average multiplicative orders of elements in finite fields

Συγγραφείς: Florian Luca

Πηγή: The Ramanujan Journal. 9:33-44

Θεματικοί όροι: Euler's phi function, enumeration problems, Asymptotic results on counting functions for algebraic and topological structures, cyclic groups, finite fields, asymptotic estimates, 0101 mathematics, average order, Asymptotic enumeration, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s11139-005-0823-7

Criptografia: A Teoria e a prática em sala de aula ; Cryptography: Theory and practice in the classroom

Συγγραφείς: Reis, Matheus Alves Machado

Συνεισφορές: Coelho, Francielle Rodrigues de Castro, http://buscatextual.cnpq.br/buscatextual/visualizacv.do, jsessionid=E6094A90D6CE33CC8D4846B98CDA5944.buscatextual_0, Silva, Flávia Souza Machado da, http://lattes.cnpq.br/9625562877284120, Galves, Ana Paula Tremura, http://lattes.cnpq.br/2733373203786930

Θεματικοί όροι: Congruência modular, Função phi de Euler, Cifra de César, Criptografia RSA, Modular congruence, Euler’s phi function, Caesar’s cipher, RSA cryptography, CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA::TEORIA DOS NUMEROS, Matemática, Criptografia de dados (Computação), Proteção de dados

Περιγραφή αρχείου: application/pdf

Relation: https://repositorio.ufu.br/handle/123456789/39270; http://doi.org/10.14393/ufu.di.2023.517

Διαθεσιμότητα: https://repositorio.ufu.br/handle/123456789/39270
https://doi.org/10.14393/ufu.di.2023.517

On the determinants of divisor matrices

Συγγραφείς: R. H. Jeurissen

Πηγή: Discrete Mathematics. 265:375-383

Θεματικοί όροι: Euler's phi function, divisor matrices, Arithmetic progressions, Discrete Mathematics and Combinatorics, determinants, Determinants, permanents, traces, other special matrix functions, 0102 computer and information sciences, 0101 mathematics, Kronecker products of matrices, 01 natural sciences, Divisor matrices, Determinants, Theoretical Computer Science

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1915555
https://doi.org/10.1016/s0012-365x(02)00880-4
https://www.sciencedirect.com/science/article/pii/S0012365X02008804
https://dblp.uni-trier.de/db/journals/dm/dm265.html#Jeurissen03
http://www.sciencedirect.com/science/article/pii/S0012365X02008804

On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ: On some problems of Mąkowski-Schinzel and Erdős concerning the arithmetical functions \(\varphi\) and \(\sigma\)

Συγγραφείς: Florian Luca, Carl Pomerance

Πηγή: Colloquium Mathematicum. 92:111-130

Θεματικοί όροι: sum-of-divisors function, maximal order, normal order, Arithmetic functions, related numbers, inversion formulas, Asymptotic results on arithmetic functions, Rate of growth of arithmetic functions, 0101 mathematics, average order, Euler's phi-function, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/87975?download.pdf
https://www.impan.pl/shop/publication/transaction/download/product/87975?download.pdf
https://eudml.org/doc/283450
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/92/1/87975/on-some-problems-of-m-akowski-8211-schinzel-and-erdos-concerning-the-arithmetical-functions-phi-and-sigma
http://journals.impan.pl/cgi-bin/doi?cm92-1-10
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-10

On the distribution of the density of maximal order elements in general linear groups

Συγγραφείς: Aivazidis, S., Sofos, E.

Πηγή: The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. October 2015 38(1):35-59

Some characterizations of totients

Συγγραφείς: Haukkanen, Pentti

Συνεισφορές: University of Tampere

Πηγή: International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 2, Pp 209-217 (1996)

Θεματικοί όροι: arithmetical identities, completely multiplicative functions, Matematiikka - Mathematics, Arithmetic functions, related numbers, inversion formulas, 0102 computer and information sciences, multiplicative arithmetical functions, Euler's phi-function, 01 natural sciences, totient, totient functions, arithmetical function, QA1-939, 0101 mathematics, Mathematics, Dirichlet convolution

Περιγραφή αρχείου: application/xml; fulltext

Σύνδεσμος πρόσβασης: http://downloads.hindawi.com/journals/ijmms/1996/129618.pdf
https://doaj.org/article/fc793f01b6494c4981836224a1bff81e
https://trepo.tuni.fi/handle/10024/99109
https://downloads.hindawi.com/journals/ijmms/1996/129618.pdf
https://www.hindawi.com/journals/ijmms/1996/129618/
https://trepo.tuni.fi/handle/10024/99109

On Nontotients: On nontotients

Συγγραφείς: Zhang, M.Z.

Πηγή: Journal of Number Theory. 43:168-172

Θεματικοί όροι: 03 medical and health sciences, Algebra and Number Theory, 0302 clinical medicine, 05 social sciences, Arithmetic functions, related numbers, inversion formulas, Euler's phi-function, 0503 education, nontotient

Περιγραφή αρχείου: application/xml

Periodicity on discrete dynamical systems generated by a class

Συγγραφείς: Ignacio Bajo, Eduardo Liz, E. T. S. E. Telecomunicación, Campus Marcosende

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.dma.uvigo.es/~eliz/pdf/jdea3.pdf.

Θεματικοί όροι: Global periodicity, Discrete dynamical system, Periodic point, Rational map, Euler’s phi- function

Περιγραφή αρχείου: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.537.2713; http://www.dma.uvigo.es/~eliz/pdf/jdea3.pdf

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.537.2713
http://www.dma.uvigo.es/~eliz/pdf/jdea3.pdf

Average Order in Cyclic Groups

Συγγραφείς: Joachim Von Zur Gathen, Arnold Knopfmacher, Florian Luca, Lutz G. Lucht, Igor E. Shparlinski

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.wits.ac.za/science/number_theory/./research/gathen.ps.

Θεματικοί όροι: Average order, enumeration problems, cyclic groups, finite fields, asymptotic estimates, Euler's phi function, Euler products, Dirichlet convolution

Περιγραφή αρχείου: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.5638; http://www.wits.ac.za/science/number_theory/./research/gathen.ps

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.5638
http://www.wits.ac.za/science/number_theory/./research/gathen.ps

Development of an Arithmetic Function using Euler’s Phi Function and Study of its Properties

Συγγραφείς: Maharjan, Nischal, Budha, Bhupendra

Πηγή: Journal of the Institute of Engineering; Vol. 15 No. 2 (2019); 147-151 ; 1810-3383

Θεματικοί όροι: arithmetic function, Euler’s phi function, prime numbers

Θέμα γεωγραφικό: Engineering

Περιγραφή αρχείου: application/pdf

Relation: https://nepjol.info/index.php/JIE/article/view/27660/22852; https://nepjol.info/index.php/JIE/article/view/27660

Διαθεσιμότητα: https://nepjol.info/index.php/JIE/article/view/27660

On the Proof of a Theorem of Pálfy

Συγγραφείς: Dobson, Edward

Πηγή: The Electronic Journal of Combinatorics. 13

Θεματικοί όροι: CI-group, Euler's phi function, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: text/url

Σύνδεσμος πρόσβασης: https://www.combinatorics.org/ojs/index.php/eljc/article/download/v13i1n16/pdf
https://www.emis.de/journals/EJC/ojs/index.php/eljc/article/view/v13i1n16
https://dblp.uni-trier.de/db/journals/combinatorics/combinatorics13.html#Dobson06
https://www.combinatorics.org/Volume_13/Abstracts/v13i1n16.html
https://repozitorij.upr.si/IzpisGradiva.php?id=1454
https://hdl.handle.net/20.500.12556/RUP-1454