On the friable mean value of additive arithmetic functions

Συγγραφείς: Wannes, Walid^{Aff1, Aff2, IDs44426025000111_cor1}, Zouari, Hichem

Πηγή: Acta Universitatis Sapientiae, Mathematica. 17(1)

Products of extended binomial coefficients and their partial factorizations

Συγγραφείς: Du, Lara^{Aff1, Aff2}, Lagarias, Jeffrey^{Aff1, IDs11139025011280_cor1}, Yangjit, Wijit^{Aff1, Aff3}

Πηγή: The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 68(1)

A generalisation of q-additive functions

Συγγραφείς: Mišík, Ladislav^{j_ms-2025-0038_aff_001}, Porubský, Štefan^{j_ms-2025-0038_aff_002}

Πηγή: Mathematica Slovaca. 75(3):525-536

Διαθεσιμότητα: https://www.degruyter.com/document/doi/10.1515/ms-2025-0038/html

On the frequency of the digits of the largest prime factor of an integer

Συγγραφείς: Wannes, Walid^{Aff1, Aff2, IDs4059002400671y_cor1}

Πηγή: Boletín de la Sociedad Matemática Mexicana: Third Series. 30(3)

A technique for securing digital audio files based on rotation and XOR operations

Συγγραφείς: Joshi, Anand B.^{Aff1, IDs00500023093495_cor1}, Gaffar, Abdul

Πηγή: Soft Computing: A Fusion of Foundations, Methodologies and Applications. :1-18

On the binary digits of n and n2

Συγγραφείς: Aloui, Karam ^{a, b}, Jamet, Damien ^{c, ⁎}, Kaneko, Hajime ^{d, e}, Kopecki, Steffen, Popoli, Pierre ^{f, g, ⁎}, Stoll, Thomas ^{f, g, ⁎}

Πηγή: In Theoretical Computer Science 4 January 2023 939:119-139

The truncated sum of digits function of polynomial sequences

Συγγραφείς: Qi, Yuchan, Liu, Huaning^{Aff1, IDs1113902100539z_cor2}

Πηγή: The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 59(1):1-29

MÖBIUS ORTHOGONALITY FOR THE ZECKENDORF SUM-OF-DIGITS FUNCTION

Συγγραφείς: DRMOTA, MICHAEL, MÜLLNER, CLEMENS, SPIEGELHOFER, LUKAS

Πηγή: Proceedings of the American Mathematical Society, 2018 Sep 01. 146(9), 3679-3691.

Σύνδεσμος πρόσβασης: https://www.jstor.org/stable/90023744

Divisibility of Fibonomial coefficients in terms of their digital representations and applications

Συγγραφείς: Phakhinkon Phunphayap, Prapanpong Pongsriiam

Πηγή: AIMS Mathematics, Vol 7, Iss 4, Pp 5314-5327 (2022)

Θεματικοί όροι: Prime Number Theory and L-Functions, fibonomial coefficient, 0102 computer and information sciences, fibonacci number, 01 natural sciences, Algebraic Geometry and Moduli Theory, Prime (order theory), QA1-939, FOS: Mathematics, binomial coefficient, divisibility, 0101 mathematics, Algebra and Number Theory, Fibonacci Numbers, Arithmetic, digit, Physics, 4. Education, sum of digits function, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Optics, asymptotic, Discrete mathematics, Physics and Astronomy, Combinatorics, Physical Sciences, Geometry and Topology, Divisibility rule, Mathematics, Characterization (materials science)

Σύνδεσμος πρόσβασης: https://doaj.org/article/486350775f9d486f8dfb107315b596f0

The truncated sum-of-digits function of powers

Συγγραφείς: Liu, H., Qi, Y.^{Aff1, IDs10474022012676_cor2}

Πηγή: Acta Mathematica Hungarica. :1-23

The sum-of-digits function on arithmetic progressions

Συγγραφείς: Spiegelhofer, Lukas, Stoll, Thomas

Συνεισφορές: Stoll, Thomas

Πηγή: Mosc. J. Comb. Number Theory 9, no. 1 (2020), 43-49

Θεματικοί όροι: arithmetic progression, 11A63, Mathematics - Number Theory, FOS: Mathematics, sum-of-digits function, Number Theory (math.NT), 11B25, 0101 mathematics, Cusick's conjecture, 11A63, 11B25, 01 natural sciences, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1909.08849
http://arxiv.org/abs/1909.08849
https://projecteuclid.org/journals/moscow-journal-of-combinatorics-and-number-theory/volume-9/issue-1/The-sum-of-digits-function-on-arithmetic-progressions/10.2140/moscow.2020.9.43.full
https://ui.adsabs.harvard.edu/abs/2019arXiv190908849S/abstract
https://msp.org/moscow/2020/9-1/p04.xhtml
https://msp.org/moscow/2020/9-1/moscow-v9-n1-p04-s.pdf
https://arxiv.org/pdf/1909.08849
https://arxiv.org/abs/1909.08849
https://projecteuclid.org/euclid.moscow/1584669685

Large Bias Amongst Products of Two Primes

Συγγραφείς: Wannes, Walid^{Aff1, IDs40840021012095_cor1}

Πηγή: Bulletin of the Malaysian Mathematical Sciences Society. 45(2):623-629

Certain codes related to generalized paperfolding sequences

Συγγραφείς: KAMIYA, Yuichi, MURATA, Leo

Πηγή: Journal de Théorie des Nombres de Bordeaux, 2015 Jan 01. 27(1), 149-169.

Σύνδεσμος πρόσβασης: https://www.jstor.org/stable/26273986

On the correlation of the Thue–Morse sequence

Συγγραφείς: Aloui, Karam^{Aff1, Aff2, IDs11139021004347_cor1}

Πηγή: The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. :1-29

On the distribution of the truncated sum-of-digits function of polynomial sequences in residue classes

Συγγραφείς: Liu, H.^{Aff1, IDs10474021011519_cor1}, Mauduit, C.

Πηγή: Acta Mathematica Hungarica. 164(2):360-376

A joint central limit theorem for the sum-of-digits function, and asymptotic divisibility of Catalan-like sequences

Συγγραφείς: Christian Krattenthaler, Michael Drmota

Πηγή: Proceedings of the American Mathematical Society. 147:4123-4133

Θεματικοί όροι: Central binomial coefficients, Sum-of-digits function, Mathematics - Number Theory, Central limit theorem, central limit theorem, 101012 Combinatorics, central binomial coefficients, 01 natural sciences, Quasi-additive functions, CENSUS, FOS: Mathematics, Mathematics - Combinatorics, 101012 Kombinatorik, Number Theory (math.NT), Combinatorics (math.CO), Primary 11K65, Secondary 05A15 11A63 11N60 60F05, Catalan numbers, 0101 mathematics, quasi-additive functions

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1803.02178
https://ucrisportal.univie.ac.at/de/publications/e5d3e25a-a3cd-4f6a-8501-6ba5cf3c45ef
https://doi.org/10.1090/proc/14349
https://www.ams.org/journals/proc/2019-147-10/S0002-9939-2019-14349-5/home.html
http://ui.adsabs.harvard.edu/abs/2018arXiv180302178D/abstract

On the binary digits of n and n²

Συγγραφείς: Aloui, Karam, Jamet, Damien, Kaneko, Hajime, Kopecki, Steffen, Popoli, Pierre, Stoll, Thomas

Συνεισφορές: Tunis El Manar University University of Tunis El Manar Tunisia = Université de Tunis El Manar Tunisie = جامعة تونس المنار (ar) (UTM), جامعة صفاقس - Université de Sfax - University of Sfax, Department of Algorithms, Computation, Image and Geometry (LORIA - ALGO), Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Université de Tsukuba = University of Tsukuba, Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), The third author was supported by JSPS KAKENHI Grant Number 19K03439., ANR-15-IDEX-0004,LUE,Isite LUE(2015), ANR-18-CE40-0018,EST,Représentations, systèmes dynamiques et pavages(2018), ANR-20-CE91-0006,ArithRand,Aléa arithmétique(2020)

Πηγή: https://hal.science/hal-03605029 ; 2022.

Θεματικοί όροι: Digital expansions, numeration system, sum of digits function, sequences and sets, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2203.05451; ARXIV: 2203.05451

Διαθεσιμότητα: https://hal.science/hal-03605029
https://hal.science/hal-03605029v2/document
https://hal.science/hal-03605029v2/file/main.pdf

On the normal number of prime factors of φ(n) subject to certain congruence conditions

Συγγραφείς: Mkaouar, M. ^⁎, Wannes, W.

Πηγή: In Journal of Number Theory March 2016 160:629-645

Smooth numbers with digital restriction ; Les entiers friables sous contraintes digitales

Συγγραφείς: Zouari, Hichem

Συνεισφορές: Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), جامعة صفاقس - Université de Sfax - University of Sfax, Bourse - Faculté des Sciences de Sfax, Université de Lorraine, Université de Sfax (Tunisie), Manfred Madritsch, Mohamed Hbaib

Πηγή: https://hal.univ-lorraine.fr/tel-05010571 ; Mathematics [math]. Université de Lorraine; Université de Sfax (Tunisie), 2024. English. ⟨NNT : 2024LORR0255⟩.

Θεματικοί όροι: Exponential function, Smooth numbers, Sum of digits function, K free integers, Les entiers friables, La fonction somme des chiffres, La fonction somme d'exponentielle, Les entiers k libres, [MATH]Mathematics [math]

Relation: NNT: 2024LORR0255

Διαθεσιμότητα: https://hal.univ-lorraine.fr/tel-05010571
https://hal.univ-lorraine.fr/tel-05010571v1/document
https://hal.univ-lorraine.fr/tel-05010571v1/file/DDOC_T_2024_0255_ZOUARI.pdf

Les entiers friables sous contraintes digitales ; Smooth numbers with digital restriction

Συγγραφείς: Zouari, Hichem

Συνεισφορές: Université de Lorraine, Université de Sfax (Tunisie), Madritsch, Manfred, Hbaib, Mohamed

Θεματικοί όροι: Les entiers friables, La fonction somme des chiffres, La fonction somme d'exponentielle, Les entiers k libres, Exponential function, Smooth numbers, Sum of digits function, K free integers, 512.72

Relation: http://www.theses.fr/2024LORR0255/document

Διαθεσιμότητα: http://www.theses.fr/2024LORR0255/document