Jean Morlet Chair - 2014 - Sem 1 - Shparlinski - Kohel

Collection Jean Morlet Chair - 2014 - Sem 1 - Shparlinski - Kohel

Organizer(s) Prof. Igor SHPARLINSKI University of New South Wales, AUS and Dr. David KOHEL I2M Marseille Aix-Marseille Université

Date(s) 01/01/2014 - 30/06/2014

linked URL https://www.chairejeanmorlet.com/2014-1-shparlinski-kohel.html

00:00:00 / 00:00:00

25 32

Some news on bilinear decomposition of the Möbius function

By Olivier Ramaré

Also appears in collection : Prime numbers : new perspectives / Nombres premiers : nouvelles perspectives

This talk presents some news on bilinear decompositions of the Möbius function. In particular, we will exhibit a family of such decompositions inherited from Motohashi's proof of the Hoheisel Theorem that leads to $\sum_{n\leq X,(n,q)=1) }^{} \mu (n)e(na/q)\ll X\sqrt{q}/\varphi (q)$ for $q \leq X^{1/5}$ and any $a$ prime to $q$.

Information about the video

Date of recording 11/02/2014
Date of publication 14/10/2014
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18606703
Cite this video Ramaré, Olivier (11/02/2014). Some news on bilinear decomposition of the Möbius function. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18606703
URL https://dx.doi.org/10.24350/CIRM.V.18606703

Domain(s)

Number Theory

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

02:22

published on August 28, 2014

Interview at CIRM: Igor Shparlinski

By Igor Shparlinski

2 videos

published on February 2, 2022

Jean-Morlet Chair - Main conference : unlikely intersections / Chaire Jean-Morlet - Conférence principale

19 videos

published on February 2, 2022

Jean-Morlet Chair - Doctoral school : Frobenius distribution on curves / Chaire Jean-Morlet - Ecole doctorale : distribution de Frobenius sur des courbes

5 videos

published on February 2, 2022

Prime numbers : new perspectives / Nombres premiers : nouvelles perspectives

5 videos

published on July 12, 2022

On Lang and Vojta's conjectures / Autour des conjectures de Lang et Vojta

Copyright Carmin.tv 2026

Give feedback