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An Affine Analogue of Singer's Theorem

R. C. Bose

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Abstract

James Singer by using the Finite Projective Geometry PG(2,p n ), proved the following theorem of the 'theory of numbers': Given an integer m≥2 of the form p n (p being a prime) we can find m+I integers d 0 , d 1 , d 2 ,..., d m .

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James Singer by using the Finite Projective Geometry PG(2,p n ), proved the following theorem of the 'theory of numbers': Given an integer m≥2 of the form p n (p being a prime) we can find m+I integers d 0 , d 1 , d 2 ,..., d m .

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OpenAlex reports 147 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

James Singer by using the Finite Projective Geometry PG(2,p n ), proved the following theorem of the 'theory of numbers': Given an integer m≥2 of the form p n (p being a prime) we can find m+I integers d 0 , d 1 , d 2 ,..., d m .

Key concepts: Mathematics, Integer (computer science), Affine transformation, Prime (order theory), Discrete mathematics, Combinatorics, Pure mathematics, Programming language

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