Note on partitions into polynomials with number of parts in an arithmetic progression-Reference-Cited by-同舟云学术

Note on partitions into polynomials with number of parts in an arithmetic progression

Published:2021-04-20 Issue:09 Volume:17 Page:1951-1963
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Zhou Nian Hong¹²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Guangxi Normal University, No. 1 Yanzhong Road, Yanshan District, 541006, Guilin, Guangxi, P. R. China

2. School of Mathematical Sciences, East China Normal University, 500 Dongchuan Road, Minhang District, 200241, Shanghai, P. R. China

Abstract

Let [Formula: see text] be a polynomial with the property that corresponding to every prime [Formula: see text] there exists an integer [Formula: see text] such that [Formula: see text]. In this paper, we establish some equidistributed results between the number of partitions of an integer [Formula: see text] whose parts are taken from the sequence [Formula: see text] and the number of parts of those partitions which are in a certain arithmetic progression.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042121500718

Reference10 articles.

1. Encyclopedia of Mathematics and its Applications;Andrews G. E.,1976

2. Asymptotics and inequalities for partitions into squares

3. Asymptotic Formulaae in Combinatory Analysis

4. A Tauberian Theorem for Partitions

5. Analytic Number Theory

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