[Turkmath:579] GSÜ Matematik Bölümü seminer duyurusu: Emek Demirci Akarsu

Ayberk Zeytin ayberkz at gmail.com
Mon Jun 22 10:59:02 UTC 2015


Değerli liste üyeleri, 

Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 24 Haziran (Çarşamba günü) saat 15.00'da FEF 06 nolu sınıftaki konuşmacımız Emek Demirci Akarsu (
Recep Tayyip Erdogan Universitesi) olacaktır. Konuşma ile ilgili detaylı bilgiler şöyledir: 

Başlık: Rational points on horocycles and incomplete Gauss sums

Özet: In this seminar I will talk about the connection between the limiting distributions of rational
points on horocycle flows and the value distribution of incomplete Gauss sums. A key property of the horocycle fow on a finite-area hyperbolic surface is that long closed horocycles are uniformly distributed. We embed rational points on such horocycles on the modular surface and investigate their equidistribution properties.

On the other hand, it is well known that the classical Gauss sums can be evaluated in closed form depending on the residue class of the number of terms in the sum modulo 4. This is not the case for the incomplete Gauss sums, where we restrict the range of summation to a sub-interval and study their limiting behavior at random argument as the number of terms goes to infinity.

If the time permits, I also establish an analogue of the weak invariance principle for incomplete Gauss sums.

Bölümümüzdeki genel seminerlere ve diger araştırma faaliyetlerine: 

http://math.gsu.edu.tr/faaliyet.html 

adresinden ulaşabilirsiniz. 

Saygılarımla, 

-- 
Ayberk Zeytin 
Matematik Bölümü 
Galatasaray Üniversitesi 
http://math.gsu.edu.tr/azeytin/


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