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On the asymmetric additive energy of polynomials.

Authors :
McGrath, Oliver
Source :
Transactions of the American Mathematical Society; Jul2024, Vol. 377 Issue 7, p4895-4930, 36p
Publication Year :
2024

Abstract

We prove a general result concerning the paucity of integer points on a certain family of 4-dimensional affine hypersurfaces. As a consequence, we deduce that integer-valued polynomials have small asymmetric additive energy. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POLYNOMIALS
ADDITIVES
INTEGERS

Details

Language :
English
ISSN :
00029947
Volume :
377
Issue :
7
Database :
Complementary Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
178534042
Full Text :
https://doi.org/10.1090/tran/9144