Cayley Digraphs Associated to Arithmetic Groups
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DOI: 10.1007/s00373-018-2002-9
Abstract: We explore a paradigm which ties together seemingly disparate areas in number theory, additive combinatorics, and geometric combinatorics including the classical Waring problem, the Furstenberg–Sárközy theorem on squares in sets of integers with positive density,… read more here.
Keywords: arithmetic groups; cayley digraphs; number; digraphs associated ... See more keywords
On the existence of hyperrings associated to arithmetic functions
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DOI: 10.1016/j.jnt.2016.10.017
Abstract: Abstract After introducing the definition of hyperring by Krasner, the study of hyperrings has been of great importance. In this paper, we define a new hyperoperation associated to the set G of all arithmetic functions… read more here.
Keywords: arithmetic functions; hyperrings associated; hyperoperation; existence hyperrings ... See more keywords
Uncertainties Associated with Arithmetic Map Operations in GIS.
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DOI: 10.1590/0001-3765201820170589
Abstract: Arithmetic map operations are very common procedures used in GIS to combine raster maps resulting in a new and improved raster map. It is essential that this new map be accompanied by an assessment of… read more here.
Keywords: arithmetic map; operations gis; map; map operations ... See more keywords