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J. Number Theory, 2024, Volume 262, Pages 58–85 (Mi jnt14)

Numbers of the form $k+f(k)$

Mikhail R. Gabdullinab, Vitalii V. Iudelevichc, Florian Lucade

a Department of mathematics, 1409 West Green Street, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
b Steklov Mathematical Institute, Gubkina str., 8, Moscow, 119333, Russia
c Moscow State University, Leninskie Gory str., 1, Moscow, 119991, Russia
d School of Maths, Wits University, Private Bag 3, Wits 2050, South Africa
e Centro de Ciencias Matemáticas UNAM, Morelia, Mexico

Received: 12.07.2023
Revised: 08.03.2024
Accepted: 11.03.2024

Language: English

DOI: https://doi.org/10.1016/j.jnt.2024.03.010



Bibliographic databases:
ArXiv: 2306.16035


© Steklov Math. Inst. of RAS, 2025