[DissKoll] DissKoll, Change of schedule

[Klemens Katterbauer]

Dear visitors of the DissKoll (Dissertantenkolloquium),

Due to organizational circumstances and the thankful acceptance of
Clemens Bruschek, Victor Cuauhtemoc Garcia (Postdoc at the BOKU) will
talk on June, 18th about "Additive properties of the Ramanujan tau
function"  (joint work with M. Garaev and S. Konyagin), as he will be
in Vienna only up to the end of September.

I beg pardon to all that were looking forward to the talk of Clemens
Bruschek and hope to have him as a speaker in Fall 09.

Details:

Thursday, 18 June 2009
Victor Cuauhtemoc Garcia
"Additive properties of the Ramanujan tau function"

Abstract:
In this talk, after a brief introduction, I am planing to show how
arithmetic properties of the Ramanujan tau function $\tau(n)$ can be
combined with the Waring-Goldbach problem to prove that the set of the
values $\tau(n)$ forms a finite additive basis for the set of
integers. Moreover, for every integer $|N|\ge 2$, the Diophantine
equation $$ \tau(n_1)+ \ldots + \tau(n_{148000})=N, $$ has a solution
in positive integers $n_1, \ldots, n_{148000},$ satisfying the
condition $$ \max_{1\le i \le 148000}n_i \ll |N|^{2/11}e^{-c \log
|N|/\log \log|N|}, $$ for some absolute constant $c >0.$ In view of a
result of Deligne, this result reflects the best possible order of the
integers $n_i,$ apart from the value of the constant $c.$


Program and further information you can find at
http://www.mat.univie.ac.at/~disskoll/

If you are interested in giving a talk, then please contact Klemens
Katterbauer via the below given E-mail address or cell phone number.

To join the mailing list, visit
http://www.mat.univie.ac.at/mailman/listinfo/disskoll

Comments and feedback are welcomed.

Victor Cuauhtemoc Garcia
Clemens Hanel
Klemens Katterbauer


-- 
Klemens Katterbauer
Student of Mathematics
Tel. No. (+43) 664 7375 4846
homepage: http://members.aon.at/klemensk/

Klemens Katterbauer
Matematik öğrencisi
Tel. numarası: (+43) 664 7375 4846
anasayfa: http://members.aon.at/klemensk/


Klemens Katterbauer
대학생 수학
전화번호: (+43) 664 7375 4846

克林  卡塔尔柏尔-克林-泼辣
学生, 数学和经济学
维也纳大学
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