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SIMBa: The LLL algorithm and its application to number theory

simba1

El proper dimecres, 1 de juny, se celebrarà una nova xerrada  del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Shehzad Hathi
Universitat: UNSW Canberra at ADFA

Data: Wednesday, June 1st, 2022.
Hora: 11:00, coffee break; 11:20, talk.
Lloc: UB (FMI aula B1) and Zoom
Idioma: English

Títol: The LLL algorithm and its application to number theory
Resum: The Lenstra-Lenstra-Lovász algorithm is a polynomial-time algorithm to find a short and nearly orthogonal basis of a lattice. Besides applications in cryptanalysis, it was also used by Odlyzko and te Riele (in 1985) to disprove Merten’s conjecture. We will look at how this algorithm can be adapted for a number-theoretic problem like Merten’s conjecture.

 

Si voleu estar al cas de les xerrades previstes, podeu consultar el calendari. Si voleu proposar una xerrada, ompliu el formulari. Si voleu contactar amb els responsables podeu escriure un missatge a seminari(dot)simba(at)ub(dot)edu.


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SIMBa: The circle method and Linnik–Goldbach problems

SIBMa

El proper dimecres, 7 d’octubre, se celebrarà una nova xerrada —en format virtual— del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Shehzad Hathi.
Universitat: UNSW Canberra at ADFA.

Data: Wednesday, October 7th, 2020
Hora: 12:00,virtual coffee break; 12:20, talk.
Lloc: Zoom (L’enllaç apareixerà al web del SIMBA el mateix dia de cada xerrada.)
Idioma: English

Títol: The circle method and Linnik–Goldbach problems
Resum: The circle method has its roots in a 1918 paper by Hardy and Ra-manujan which dealt mainly with the partition function, but also withthe representation of numbers as sums of squares. Since then, it hasbeen used with remarkable success by Hardy, Littlewood, Vinogradov,among others, in the field of additive number theory. In this talk, wewill focus on the main ideas of the circle method and illustrate its usein the Linnik–Goldbach problems.

 

Si voleu estar al cas de les xerrades previstes, podeu consultar el calendari. Si voleu proposar una xerrada, ompliu el formulari. Si voleu contactar amb els responsables podeu escriure un missatge a seminari(dot)simba(at)ub(dot)edu.