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math.NT2011★ 4 cited
On finding many solutions to S-unit equations by solving linear equations on average
Adam J. Harper
We give improved lower bounds for the number of solutions of some -unit equations over the integers, by counting the solutions of some associated linear equations as the coeffic…
math.NT2011
On a paper of K. Soundararajan on smooth numbers in arithmetic progressions
Adam J. Harper
In a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than x whose prime factors are less than y are asymptotically equidistributed in arithmetic…