Number theory seminar

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Spring Semester 2020

Date / Time

Speaker

Title

Location

21 February 2020
14:15-15:15

Maxim Gerspach
ETH Zurich, Switzerland

Event Details

Number Theory Seminar

Title	Pseudomoments of the Riemann zeta function
Speaker, Affiliation	Maxim Gerspach, ETH Zurich, Switzerland
Date, Time	21 February 2020, 14:15-15:15
Location	HG G 43
Abstract	The pseudomoments of the Riemann zeta function are the moments of the partial sums associated with zeta on the critical line. Using probabilistic methods of Harper, we provide bounds which give the order of magnitude of all pseudomoments. We also provide upper and lower bounds for the pseudomoments of the powers of zeta that are almost-matching when combined with previous bounds of Bondarenko, Heap and Seip, and behave in a somewhat different manner than perhaps expected at first. In this talk, I will try to explain heuristically why the results are in fact reasonable to expect and give some insight into the proof strategy.

Pseudomoments of the Riemann zeta functionread_more

HG G 43

6 March 2020
14:15-15:15

Dr. Sarah Peluse
Oxford University

Event Details

Number Theory Seminar

Title	An asymptotic version of the prime power conjecture for perfect difference sets
Speaker, Affiliation	Dr. Sarah Peluse, Oxford University
Date, Time	6 March 2020, 14:15-15:15
Location	HG G 43
Abstract	A subset D of a finite cyclic group Z/mZ is called a "perfect difference set" if every nonzero element of Z/mZ can be written uniquely as the difference of two elements of D. If such a set exists, then a simple counting argument shows that m=n^2+n+1 for some nonnegative integer n. Singer constructed examples of perfect difference sets in Z/(n^2+n+1)Z whenever n is a prime power, and it is an old conjecture that these are the only such n for which a perfect difference set exists. In this talk, I will discuss a proof of an asymptotic version of this conjecture: the number of n less than N for which Z/(n^2+n+1)Z contains a perfect difference set is ~N/log(N).

An asymptotic version of the prime power conjecture for perfect difference setsread_more

HG G 43

20 March 2020
14:15-15:15

Prof. Dr. Jörg Brüdern
Universität Göttingen

Event Details

Number Theory Seminar

Title	The circle method and limit periodic functions
Speaker, Affiliation	Prof. Dr. Jörg Brüdern, Universität Göttingen
Date, Time	20 March 2020, 14:15-15:15
Location	HG G 43

The circle method and limit periodic functions (CANCELLED)

HG G 43

3 April 2020
14:15-15:15

Prof. Dr. Ana Caraiani
Imperial College

Event Details

Number Theory Seminar

Title	Title T.B.A.
Speaker, Affiliation	Prof. Dr. Ana Caraiani, Imperial College
Date, Time	3 April 2020, 14:15-15:15
Location	HG G 43

Title T.B.A. (CANCELLED)

HG G 43

* 17 April 2020

Event Details

Number Theory Seminar

Title	No Seminar (Easter Vacation)
Speaker, Affiliation
Date, Time	17 April 2020,
Location	HG G 43

No Seminar (Easter Vacation)

HG G 43

* 1 May 2020

Event Details

Number Theory Seminar

Title	No Seminar (May 1st)
Speaker, Affiliation
Date, Time	1 May 2020,
Location	HG G 43

No Seminar (May 1st)

HG G 43

Note: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

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