Pretentiously detecting power cancellation.Lemke Oliver, Robert J.
Granville and Soundararajan have recently introduced the notion of pretentiousness in the study of multiplicative functions of modulus bounded by 1, essentially the idea that two functions which are similar in a precise sense should exhibit similar behavior. It turns out, somewhat surprisingly, that this does not directly extend to detecting power cancellation - there are multiplicative functions ... read more
- Number theory.
- Arithmetic functions.
- Tufts University. Department of Mathematics.
- Permanent URL
- Original publication
- JUNG, JUNEHYUK, and ROBERT J. LEMKE OLIVER. "Pretentiously Detecting Power Cancellation." Mathematical Proceedings of the Cambridge Philosophical Society 154, no. 03 (January 17, 2013): 481-498. doi:10.1017/s0305004112000655.