ON ITERATED PRODUCT SETS WITH SHIFTS

DOI10.1112/S0025579319000081zbMath1445.11113arXiv1801.07982OpenAlexW3100573305WikidataQ127862002 ScholiaQ127862002MaRDI QIDQ5377121

Oliver Roche-Newton, Brandon Hanson, Dmitrii Zhelezov

Publication date: 23 May 2019

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07982

zbMATH Keywords

product setsDirichlet polynomials

Mathematics Subject Classification ID

Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

On iterated product sets with shifts. II ⋮ ON ITERATED PRODUCT SETS WITH SHIFTS ⋮ On some applications of GCD sums to arithmetic combinatorics ⋮ Asymmetric estimates and the sum-product problems

Cites Work

• On sum sets of sets having small product set
• Small points on subvarieties of a torus
• On the size of the set \(A(A + 1)\)
• On S-unit equations in two unknowns
• The Erdős-Szemerédi problem on sum set and product set
• Linear equations in variables which lie in a multiplicative group
• Improved bounds on the set \(A(A+1)\)
• The equation x+y=1 in finitely generated groups
• On the size of $k$-fold sum and product sets of integers
• Some remarks on sets with small quotient set
• MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
• ON ITERATED PRODUCT SETS WITH SHIFTS
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