Leírás
Dear Colleague,
It is our pleasure to invite you to the next talk in our Online Number Theory Seminar, on
12 April (Friday) at 17:00 CEST (8:00 PDT, 11:00 EDT, 15:00 GMT, 18:00 Israel Daylight Time, 20:30 Indian Standard Time; already Saturday 2:00 AEDT, 4:00 NZDT)
Speaker: N. Moshchevitin (Moscow Lomonosov State University)
Title: On (non)primitive Diophantine Approximation
Abstract: In 1959 Chalk and Erd\H{o}s proved the following result on coprime inhomogeneous approximation to a real number:
{\it
for any given $\alpha\in \mathbb{R}\setminus\mathbb{Q} $
and any real number $\eta$, there exists an absolute constant $ C$ such that
$$
|q\alpha - \eta - r| \le C \cdot\frac{1}{q}\,\left( \frac{\log q}{\log\log q}
\right)^2
$$
is satisfied by infinitely many coprime integers $ (q,r), q\ge 1$.}
Recently problems related to approximation with coprime numbers became popular again.
I will give a talk about classical and recent results related to Chalk-Erd\H{o}s' theorem.
Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m21f6c4baa1ec6f3eb1b029d823dc932b
Meeting number: 2787 376 1942
Please, share the link with colleagues who are interested, tell us if you have a proposal for a talk, and
also inform us in case you are not willing to receive announcements of these events. The email address of the
seminar is ntrg@science.unideb.hu . We keep the program updated at https://ntrg.math.unideb.hu/seminar.html ,
where (upon the agreement of the Speaker), you can also find the video and the slides of the talk.
We are looking forward to meeting you, with kind regards,
the organizers (K.Győry, Á.Pintér, L.Hajdu, A.Bérczes, Sz.Tengely, I.Pink, Debrecen Number Theory Research Group , University of Debrecen)