Description
Dear Colleague,
It is our pleasure to invite you to the next talk in our Online Number Theory Seminar, on
13 September (Friday) at 17:00 CET (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: I. Z. Ruzsa (Alfréd Rényi Institute of Mathematics)
Title: On the equation $(x^2+1)(y^2+1)=z^2+1$
Abstract: It is known that all solutions of this equation (and some more general ones) can be obtained from some basic solutions by repeated application of some transformations. However, the following properties were seemingly not observed before. These transformations form
(a) a free semigroup if only positive solutions are considered,
(b) the free product of two-element groups if the sign is not restricted.
We also consider the possibility of finding parametric solutions, and the distribution of solutions.
Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m7560269d3594e9405928230665ff19bf
Meeting number: 2789 363 0200
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)