Geometric Configurations in the Ring of Integers Modulo P^ℓ

David Covert; Alex Iosevichc; Jonathan Pakianathan

doi:10.1512/iumj.2012.61.4751

Geometric Configurations in the Ring of Integers Modulo P^ℓ

David Covert, Alex Iosevichc, Jonathan Pakianathan

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

<div class="line" id="line-5"> We study variants of the Erd&dblac;os distance problem and the dot products problem in the setting of the integers modulo q, where q = p^&ell; is a power of an odd prime. </div>

Original language	American English
Journal	Indiana University Mathematics Journal
Volume	61
DOIs	https://doi.org/10.1512/iumj.2012.61.4751
State	Published - May 27 2011

Disciplines

Computer Sciences
Mathematics

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Cite this

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title = "Geometric Configurations in the Ring of Integers Modulo P\textasciicircum{}ℓ",

abstract = " We study variants of the Erd\&dblac;os distance problem and the dot products problem in the setting of the integers modulo q, where q = p\textasciicircum{}\&ell; is a power of an odd prime.\ ",

author = "David Covert and Alex Iosevichc and Jonathan Pakianathan",

year = "2011",

month = may,

day = "27",

doi = "10.1512/iumj.2012.61.4751",

language = "American English",

volume = "61",

journal = "Indiana University Mathematics Journal",

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AU - Covert, David

AU - Iosevichc, Alex

AU - Pakianathan, Jonathan

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Y1 - 2011/5/27

N2 - We study variants of the Erd&dblac;os distance problem and the dot products problem in the setting of the integers modulo q, where q = p^&ell; is a power of an odd prime. 

AB - We study variants of the Erd&dblac;os distance problem and the dot products problem in the setting of the integers modulo q, where q = p^&ell; is a power of an odd prime. 

U2 - 10.1512/iumj.2012.61.4751

DO - 10.1512/iumj.2012.61.4751

M3 - Article

VL - 61

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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