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The primes contain arbitrarily long arithmetic progressions
 Ann. of Math
"... Abstract. We prove that there are arbitrarily long arithmetic progressions of primes. ..."
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Abstract. We prove that there are arbitrarily long arithmetic progressions of primes.
Multiplicative functions in arithmetic progressions
 ANNALES MATHÉMATIQUES DU QUÉBEC
, 2012
"... We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the wellknown theory of primes in arithmetic progressions. ..."
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Cited by 6 (3 self)
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We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the wellknown theory of primes in arithmetic progressions.
Arithmetic Progressions on Edwards Curves
, 2011
"... We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the xcoordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has found arithmetic progressions on Weierstras ..."
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Cited by 4 (0 self)
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We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the xcoordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has found arithmetic progressions
Finding Longest Arithmetic Progressions
"... We describe efficient outputsensitive algorithms to find the longest arithmetic progression in a given set of numbers. ..."
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We describe efficient outputsensitive algorithms to find the longest arithmetic progression in a given set of numbers.
Long arithmetic progressions of primes
 MATHEMATICS PROCEEDINGS
, 2005
"... This is an article for a general mathematical audience on the author’s work, joint with Terence Tao, establishing that there are arbitrarily long arithmetic progressions of primes. ..."
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Cited by 4 (0 self)
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This is an article for a general mathematical audience on the author’s work, joint with Terence Tao, establishing that there are arbitrarily long arithmetic progressions of primes.
Arithmetic progressions and the primes
 EL ESCORIAL LECTURES
, 2004
"... We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length k in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes. ..."
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Cited by 5 (2 self)
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We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length k in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes.
ON NONINTERSECTING ARITHMETIC PROGRESSIONS
"... Consider a setQof positive integers, together with an associated family of integers{aq}q∈Q such that the arithmetic progressions (aq mod q) are pairwise disjoint. The purpose of this paper is to provide sharper bounds for the asymptotic growth of ..."
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Consider a setQof positive integers, together with an associated family of integers{aq}q∈Q such that the arithmetic progressions (aq mod q) are pairwise disjoint. The purpose of this paper is to provide sharper bounds for the asymptotic growth of
ARITHMETIC PROGRESSIONS WITH SQUARE ENTRIES
, 2001
"... We study properties of arithmetic progressions consisting of three squares; in particular, how one arithmetic progression generates infinitely many others, by means of explicit formulas as well as a matrix method. This suggests an equivalence relation could be defined on the arithmetic progressions, ..."
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Cited by 1 (0 self)
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We study properties of arithmetic progressions consisting of three squares; in particular, how one arithmetic progression generates infinitely many others, by means of explicit formulas as well as a matrix method. This suggests an equivalence relation could be defined on the arithmetic progressions
Results 1  10
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1,136