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Teachers’ Beliefs and Practices Regarding the Role of Executive Functions in Reading and Arithmetic
Frontiers in Psychology, 2016 The current study investigated early elementary school teachers’ beliefs and practices regarding the role of Executive Functions in reading and arithmetic.
Shirley Rapoport +2 more
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On certain equations and inequalities involving the arithmetical functions φ(n) and d(n) – II [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In papers [3] and [5] we have studied certain equations and inequalities involving the arithmetical functions φ(n) and d(n). In this paper we will consider some other equations. Some open problems will be stated, too.
József Sándor
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On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Open Mathematics, 2013 Kühleitner Manfred, Nowak Werner
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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On an additive arithmetic function [PDF]
Pacific Journal of Mathematics, 1977 Let \(n\) be a positive integer, \(n=\prod\limits_{i=1}^rp_i^{\alpha_i}\) in canonical form, and let \(A(n)=\sum\limits_{i=1}^r\alpha_ip_i\). Clearly \(A\) is an additive arithmetic function.
Alladi, K., Erdős, P.
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Objects generated by an arbitrary natural number. Part 4: New aspects [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The set Set(n), generated by an arbitrary natural number n, was defined in [3]. There, and in [5, 6], some arithmetic functions and arithmetic operators of a modal and topological types are defined over the elements of Set(n).
Krassimir Atanassov
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On certain arithmetic functions involving the greatest common divisor
Open Mathematics, 2012 Krätzel Ekkehard +2 more
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Some new arithmetic functions [PDF]
Notes on Number Theory and Discrete MathematicsWe introduce and study some new arithmetic functions, connected with the classical functions φ (Euler's totient), ψ (Dedekind's function) and σ (sum of divisors function).
József Sándor, Krassimir Atanassov
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On certain bounds for the divisor function [PDF]
Notes on Number Theory and Discrete MathematicsWe offer various bounds for the divisor function d(n), in terms of n, or other arithmetical functions.
József Sándor
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On certain arithmetical products involving the divisors of an integer [PDF]
Notes on Number Theory and Discrete MathematicsWe study the arithmetical products Π d^d, Πd^{1/d} and Πd^{log d}, where d runs through the divisors of an integer n>1.
József Sándor
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