The Story of Chinese Character :井
井 depicts a well with side support braces.
From playlist The Story of HanZi (Chinese Characters)
Representation theory: Dirichlet's theorem
In this talk we see how to use characters of finite abelian groups to prove Dirichlet's theorem that there are infinitely many primes in certain arithmetic progressions. We first recall Euler's proof that there are infinitely many primes, which is the simplest case of Dirichlet's proof. T
From playlist Representation theory
Introduction to number theory lecture 49. Dirichlet's theorem
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We give an overview of the proof of Dirichlet's theorem, and give some examples of Dirichle
From playlist Introduction to number theory (Berkeley Math 115)
Low moments of character sums - Adam Harper
Joint IAS/Princeton University Number Theory Seminar Topic: Low moments of character sums Speaker: Adam Harper Affiliation: University of Warwick Date: April 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Introduction to number theory lecture 50. Dirichlet characters
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We review some properties of Dirichlet characters in preparation for the proof of Dirichlet
From playlist Introduction to number theory (Berkeley Math 115)
Weil conjectures 4 Fermat hypersurfaces
This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T
From playlist Algebraic geometry: extra topics
Introduction to number theory lecture 52. Nonvanishing of L series at s=1.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We sketch how to show that Dirichlet L functions do not vanish at s=1, completing the proo
From playlist Introduction to number theory (Berkeley Math 115)
Alexandra Florea: The Ratios Conjecture over function fields
I will talk about some recent joint work with H. Bui and J. Keating where we study the Ratios Conjecture for the family of quadratic L-functions over function fields. I will also discuss the closely related problem of obtaining upper bounds for negative moments of L-functions, which allows
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
Introduction to number theory lecture 51. Proof of Dirichlet's theorem
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show how to prove Dirichlet's theorem on primes in arithmetic progressions, assuming tha
From playlist Introduction to number theory (Berkeley Math 115)
Some remarks on Landau--Siegel zeros - Alexandru Zaharescu
Joint IAS/Princeton University Number Theory Seminar Some remarks on Landau--Siegel zeros Alexandru Zaharescu University of Illinois at Urbana–Champaign Date: March 11, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Kannan Soundararajan - 2/4 L-function
Kannan Soundararajan - L-function
From playlist École d'été 2014 - Théorie analytique des nombres
The Story of Chinese Character : 介
介 depicts a man standing between two walls, which has the meaning of ‘between’.
From playlist The Story of HanZi (Chinese Characters)