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Showing 2007 · math.NTShow all
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math.NT2007
A bound for the "torsion conductor" of a non-CM elliptic curve
Nathan Jones
Given a non-CM elliptic curve E over Q, define the ``torsion conductor'' m_E to be the smallest positive integer so that the Galois representation on the torsion of E has image Pi^…
math.NT2007
Difference sets and shifted primes
Jason Lucier
We show that if A is a subset of {1, ..., n} such that it has no pairs of elements whose difference is equal to p-1 with p a prime number, then the size of A is O(n(loglog n)^(-clo…
math.NT2007★ 2 cited
Multiplicative functions in arithmetic progressions
Antal Balog, Andrew Granville, K. Soundararajan
We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…