Geodesic
Szemerédi-type theorems for subsets of locally compact abelian groups of positive upper Banach density
Xiongping Dai 1   ; Hailan Liang 2   ; Xinjia Tang 1
1 Department of Mathematics Nanjing University, Nanjing 210093 People’s Republic of China
2 Department of Mathematics Fuzhou University, Fuzhou 350116 People’s Republic of China
Acta Arithmetica, Tome 180 (2017) no. 2, pp. 101-109 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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By using ergodic-theoretic techniques following Hillel Fürstenberg, we prove that measurable subsets of a locally compact abelian group of positive upper density contain Szemerédi-wise configurations defined by an arbitrary compact subset of the group.
DOI : 10.4064/aa8470-4-2017
Keywords: using ergodic theoretic techniques following hillel rstenberg prove measurable subsets locally compact abelian group positive upper density contain szemer di wise configurations defined arbitrary compact subset group

Xiongping Dai  1   ; Hailan Liang  2   ; Xinjia Tang  1

1 Department of Mathematics Nanjing University, Nanjing 210093 People’s Republic of China
2 Department of Mathematics Fuzhou University, Fuzhou 350116 People’s Republic of China 
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     author = {Xiongping Dai and Hailan Liang and Xinjia Tang},
     title = {Szemer\'edi-type theorems for subsets of locally compact abelian groups of positive upper {Banach} density},
     journal = {Acta Arithmetica},
     pages = {101--109},
     year = {2017},
     volume = {180},
     number = {2},
     doi = {10.4064/aa8470-4-2017},
     language = {en},
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Xiongping Dai; Hailan Liang; Xinjia Tang. Szemerédi-type theorems for subsets of locally compact abelian groups of positive upper Banach density. Acta Arithmetica, Tome 180 (2017) no. 2, pp. 101-109. doi: 10.4064/aa8470-4-2017

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