Seminar series
Date
Thu, 16 Feb 2012
Time
16:00 -
17:00
Location
L3
Speaker
Adam Harper
Organisation
Cambridge
A number is said to be $y$-smooth if all of its prime factors are
at most $y$. A lot of work has been done to establish the (equi)distribution
of smooth numbers in arithmetic progressions, on various ranges of $x$,$y$
and $q$ (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.