MathematischeGesellschaft "Counting Rational Points on Lines and Conics" |  |  |
Vortragende Person:Prof. Roger Heath-Brown, University of Oxford
Veranstalter:Mathematisches Institut
Beschreibung:
Let N(B) be the number of rational points (u/w,v/w) on the line ax+by+c=0 with |u|,|v|,|w| all at most B. We ask:- "How does N(B) grow as B tends to infinity?" The answer to this has been well understood for some time, but displays some subtleties. We then turn to the corresponding question for conics Q(x,y)=0, where it is known that N(B) is asymptotic to cB as B tends to infinity (provided there is at least one rational point). We ask "How large must B be in terms of Q for one to see this behaviour?", and "What happens for smaller values of B?"
Ähnliche Veranstaltungen nach Schlagwort finden:
Veranstaltungsart:Kolloquium
Veranstaltungssprache:Englisch
Kategorie:Forschung
Export als iCalendar/ICS-Datei:
Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=16890
EN DE
