Smooth numbers in arithmetic progressions
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Thu, 16/02/2012 16:00 |
Adam Harper (Cambridge) |
Number Theory Seminar  |
L3 |
A number is said to be  -smooth if all of its prime factors are
at most . A lot of work has been done to establish the (equi)distribution
of smooth numbers in arithmetic progressions, on various ranges of  ,
and  (the common difference of the progression). In this talk I will
explain some recent results on this problem. One ingredient is the use of a
majorant principle for trigonometric sums to carefully analyse a certain
contour integral. |
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