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

Authors: Christian Krattenthaler, Michael Drmota

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

Subject Terms: 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

Access URL: 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

Quasi-additive and quasi-multiplicative functions with regularity properties

Authors: Kátai, I., Subbarao, M. V.

Source: Publicationes Mathematicae Debrecen. 56:43-52

Subject Terms: regularity, conjecture on the characterization of \(\log n\), quasi-multiplicative functions, Arithmetic functions, related numbers, inversion formulas, 0101 mathematics, monotonicity, Erdős theorem, quasi-additive functions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1446815

Generalized stability of the Cauchy functional equation

Authors: Páles, Zsolt

Source: aequationes mathematicae. 56:222-232

Subject Terms: Természettudományok, Systems of functional equations and inequalities, Cauchy functional equation, Abelian semigroup, Functional equations for functions with more general domains and/or ranges, Hyers-Ulam stability, Matematika- és számítástudományok, 0101 mathematics, quasi-additive functions, 01 natural sciences, separation theorem

File Description: application/xml; application/pdf

Access URL: https://link.springer.com/article/10.1007/s000100050058

On $q$-Quasiadditive and $q$-Quasimultiplicative Functions

Authors: Kropf, Sara, Wagner, Stephan

Source: The Electronic Journal of Combinatorics. 24

Subject Terms: Additive functions, Central limit theorem, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0102 computer and information sciences, Regular functions, 0101 mathematics, 01 natural sciences, Quasi-additive functions

File Description: application/pdf

Access URL: http://arxiv.org/abs/1608.03700
https://dblp.uni-trier.de/db/journals/combinatorics/combinatorics24.html#KropfW17
https://scholar.sun.ac.za/handle/10019.1/104335

Quasi-Jensen functions

Authors: Chmieliński, Jacek

Subject Terms: quasi- additive functions, Systems of functional equations and inequalities, functional inequality, Functional equations for functions with more general domains and/or ranges, normed space, quasi-Jensen function

File Description: application/xml

Access URL: https://zbmath.org/639412