Abstract
In the present paper, we study various Erdős type geometric problems in the setting of the integers modulo q, where \(q=p^l\) is an odd prime power. More precisely, we prove certain results about the distribution of triangles and triangle areas among the points of \(E\subset \mathbb {Z}_q^2\).
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Acknowledgments
The author is grateful to Alex Iosevich and Jonathan Pakianathan for their guidance and support. She would like to thank the referee for the careful reading of the paper and for comments improving the exposition.
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Communicated by Hans G. Feichtinger.
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Aksoy Yazici, E. Erdős Type Problems in Modules over Cyclic Rings. J Fourier Anal Appl 22, 237–250 (2016). https://doi.org/10.1007/s00041-015-9417-y
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DOI: https://doi.org/10.1007/s00041-015-9417-y