A correspondence between the isobaric ring and multiplicative arithmetic functions
From MaRDI portal
Publication:691277
DOI10.1216/RMJ-2012-42-4-1247zbMath1275.11027arXiv0711.3620MaRDI QIDQ691277
Publication date: 30 November 2012
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.3620
symmetric polynomialsisobaric basislinear recursions generalized Fibonacci sequencesmultiplicative arithmetic functions
Symmetric functions and generalizations (05E05) Recurrences (11B37) Arithmetic functions; related numbers; inversion formulas (11A25)
Related Items
Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ The convolution ring of arithmetic functions and symmetric polynomials ⋮ TWO GENERALIZATIONS OF THE BUSCHE–RAMANUJAN IDENTITIES
Cites Work
- Degree \(k\) linear recursions mod \((p)\) and number fields
- The ring of number-theoretic functions
- Introduction to arithmetical functions
- Linear recursive sequences
- Some properties of specially multiplicative functions
- On recurrence characterization of rational arithmetic functions
- On a convolution of linear recurring sequences over finite fields
- On a convolution of linear recurring sequences over finite fields. II
- Recurrent sequences and Schur functions
- Some characterizations of specially multiplicative functions
- Logarithmic operators and characterizations of completely multiplicative functions
- The combinatorial power of the companion matrix
- Some characterizations of totients
- A subgroup of the group of units in the ring of arithmetic functions
- Properties of rational arithmetic functions
- Differential operators and weighted isobaric polynomials
- Operators on algebras of arithmetic functions
- The trigonometry of numbers
- Reflections on symmetric polynomials and arithmetic functions
- On a class of multiplicative arithmetic functions.
- The Theory of Multiplicative Arithmetic Functions
- A Characterization of Completely Multiplicative Arithmetic Functions
- Euler’s “De Partitio Numerorum”
- On the convolution ring of arithmetic functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item