COMBINATORIAL FORMULAS FOR ARITHMETIC DENSITY

Robert Schneider; Andrew V. Sills

COMBINATORIAL FORMULAS FOR ARITHMETIC DENSITY

Robert Schneider
, Andrew V. Sills

Mathematical Sciences

University of Georgia

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let d_S denote the arithmetic density of a subset [Formula Presented]. We derive a power series in [Formula Presented], with coëfficients related to integer partitions and integer compositions, that yields 1/d_S in the limit as q → 1 radially.

Original language	English
Article number	A63
Journal	Integers
Volume	22
State	Published - 2022

Scopus Subject Areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Cite this

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title = "COMBINATORIAL FORMULAS FOR ARITHMETIC DENSITY",

abstract = "Let dS denote the arithmetic density of a subset [Formula Presented]. We derive a power series in [Formula Presented], with co{\"e}fficients related to integer partitions and integer compositions, that yields 1/dS in the limit as q → 1 radially.",

author = "Robert Schneider and Sills, \{Andrew V.\}",

year = "2022",

language = "English",

volume = "22",

journal = "Integers",

issn = "1553-1732",

publisher = "Colgate University",

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T1 - COMBINATORIAL FORMULAS FOR ARITHMETIC DENSITY

AU - Schneider, Robert

AU - Sills, Andrew V.

PY - 2022

Y1 - 2022

N2 - Let dS denote the arithmetic density of a subset [Formula Presented]. We derive a power series in [Formula Presented], with coëfficients related to integer partitions and integer compositions, that yields 1/dS in the limit as q → 1 radially.

AB - Let dS denote the arithmetic density of a subset [Formula Presented]. We derive a power series in [Formula Presented], with coëfficients related to integer partitions and integer compositions, that yields 1/dS in the limit as q → 1 radially.

UR - https://www.scopus.com/pages/publications/85134199953

M3 - Article

AN - SCOPUS:85134199953

SN - 1553-1732

VL - 22

JO - Integers

JF - Integers

M1 - A63

ER -

COMBINATORIAL FORMULAS FOR ARITHMETIC DENSITY

Abstract

Scopus Subject Areas

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