Department of

February 2018March 2018April 2018 Su Mo Tu We Th Fr Sa Su Mo TuWeTh Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 1 2 3 1 2 3 4 5 6 7 4 5 6 7 8 9 10 4 5 6 7 8 9 10 8 9 10 11 12 13 14 11 12 13 14 15 16 17 11 12 13 14 15 16 17 15 16 17 18 19 20 21 18 19 20 21 22 23 24 18 19 202122 23 24 22 23 24 25 26 27 28 25 26 27 28 25 26 27 28 29 30 31 29 30

Thursday, January 18, 2018

**Abstract:** The celebrated theorem of Levinson (1974) states that more than 1/3 of the non-trivial zeros of the Riemann zeta-function are on the critical line. This result has been improved during the last 40 years by employing linear and first order terms of a mollifier as well as by using Kloostermania techniques for the error terms. In this work, we delineate how to improve all degrees of the most natural and powerful Dirichlet series (producing an arbitrarily perfect mollification) and we also present the best error terms available with our current technology of exponential sums by elucidating a conjecture of S. Feng. A new and modest % record is thereby achieved. Joint work with Kyle Pratt, Alexandru Zaharescu and Dirk Zeindler.

Thursday, January 25, 2018

Thursday, February 1, 2018

Thursday, February 8, 2018

Thursday, February 15, 2018

Thursday, February 22, 2018

Thursday, March 1, 2018

Thursday, March 8, 2018

Tuesday, March 13, 2018

Thursday, March 15, 2018

Tuesday, March 27, 2018