Work

Partitio Numerorum: sums of a prime and a number of $k$-th powers

Year: 2024

Type: article

Abstract: Let k be a natural number and let c=2.134693\ldots be the unique real solution of the equation 2c=2+\log (5c-1) in [1,\infty) . For s\ge ck+4 , we establish an asymptotic lower bound of the expected order of magnitude for the number of representations of a large positive integer as the sum of one prime and s positive integral k -th powers.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1567

Authors: Jörg Brüdern, Trevor D. Wooley

Institutions: University of Göttingen, Purdue University West Lafayette

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404827740

FWCI: 1.153

Cites:

Cited by: 1

Related to: 10