Department of

February 2018 March 2018 April 2018 Su Mo Tu We Th Fr Sa Su Mo Tu We Th 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 20 21 22 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

Thursday, March 29, 2018

Thursday, April 5, 2018

Thursday, April 12, 2018

Thursday, April 19, 2018

Thursday, April 26, 2018

Tuesday, May 1, 2018

Thursday, August 30, 2018

Thursday, September 6, 2018

Thursday, September 13, 2018

Thursday, September 20, 2018

Thursday, September 27, 2018

Thursday, October 4, 2018

Thursday, October 11, 2018

Thursday, October 18, 2018

Thursday, October 25, 2018

Thursday, November 1, 2018

Thursday, November 15, 2018

Thursday, November 29, 2018

Thursday, December 6, 2018