Mathematical series | Complex analysis
In the field of mathematical analysis, a general Dirichlet series is an infinite series that takes the form of where , are complex numbers and is a strictly increasing sequence of nonnegative real numbers that tends to infinity. A simple observation shows that an 'ordinary' Dirichlet series is obtained by substituting while a power series is obtained when . (Wikipedia).
The World Wars: Hitler Seizes Control Of Germany (S1, E2) | History
In this scene, Hitler eliminates his opposition and becomes supreme ruler of Germany. Subscribe for more The World Wars: http://histv.co/SubscribeHistoryYT Check out exclusive The World Wars videos and full episodes: http://www.history.com/shows/the-world-wars #WorldWars Check out our
From playlist War & Battle | History
D-Day In HD: Tanks Engage In A Duel | History
In this scene, the large British tanks find themselves outmanuevered by the smaller and more nimble German tanks. Subscribe for more D-Day In HD: http://histv.co/SubscribeHistoryYT #DDay Check out our Facebook games, and other exclusive content: https://www.facebook.com/History Keep up
From playlist D-Day In HD | History
Third Century Crisis - The Tetrarchy - Extra History - #4
Watch this video ad-free on Nebula: https://nebula.tv/videos/extra-history-third-century-crisis-the-tetrarchy-extra-history-4 The Third Century Crisis becomes manageable under Diocletian, but the emperor still faces many problems, and not all of them as exciting as assassination. The ramp
From playlist Extra History (ALL EPISODES)
The World Wars: Hitler Turns On Stalin (S1, E2) | History
In this scene, Hitler invades Russia despite his agreement with Stalin. Subscribe for more The World Wars: http://histv.co/SubscribeHistoryYT Check out exclusive The World Wars videos and full episodes: http://www.history.com/shows/the-world-wars #WorldWars Check out our Facebook games
From playlist War & Battle | History
Catherine the Great - Lies - Extra History
Listen to this Extra History series as a podcast! http://becausegamesmatter.com/podcast Catherine the Great ruled for many years - too many for a six episode show to cover completely. James talks about the mistakes we made and the stories we left out! ---- Miss an episode in our Catherine
From playlist Extra History: Chronological Order (1700 CE - Present)
Napoleon Bonaparte: Master of Europe - Part 2
This is part two of my Napoleon Bonaparte Series how he came to power in the french revolution and the help of Robespierre to launch a continent spanning war and declaring himself master of Europe and emperor of the french Explaining why he's so revered in history and what made him specia
From playlist Biographies
WWI The First Modern War: The Western Front Inspires the Tank | History
In this scene, a British journal proposes the creation of the first tanks, after witnessing the carnage of the Western Front. Subscribe for more WWI: http://histv.co/SubscribeHistoryYT Check out our Facebook games, and other exclusive content: https://www.facebook.com/History Keep up to
From playlist War & Battle | History
Ten Minute History - The French Revolution and Napoleon (Short Documentary)
Twitter: https://twitter.com/Tenminhistory Patreon: https://www.patreon.com/user?u=4973164 This episode of Ten Minute History (like a documentary, only shorter) covers the French Revolution and the Napoleonic Wars from the beginning of King Louis XVI's reign all the way to the death of Na
From playlist Ten Minute World History (Chronological)
Theory of numbers: Dirichlet series
This lecture is part of an online undergraduate course on the theory of numbers. We describe the correspondence between Dirichlet series and arithmetic functions, and work out the Dirichlet series of the arithmetic functions in the previous lecture. Correction: Dave Neary pointed out t
From playlist Theory of numbers
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)
9. General Boulanger and Captain Dreyfus
France Since 1871 (HIST 276) Two of the major crises of nineteenth-century France, the Boulanger Affair and the Dreyfus Affair, can be understood in terms of the rising forces of anti-Semitism and Far Right politics. The German conquest of Alsace and Lorraine, in particular, fueled nati
From playlist France Since 1871 with John Merriman
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 45 Dirichlet series
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 introduce Dirichlet series as generating functions of arithmetical functions and give so
From playlist Introduction to number theory (Berkeley Math 115)
CTNT 2022 - 100 Years of Chebotarev Density (Lecture 3) - by Keith Conrad
This video is part of a mini-course on "100 Years of Chebotarev Density" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - 100 Years of Chebotarev Density (by Keith Conrad)
Lecture 16: Fejer’s Theorem and Convergence of Fourier Series
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=8IxHMVf3jcA&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
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)
Bourbaki - 18/06/2016 - 4/4 - Kannan SOUNDARARAJAN
Kannan SOUNDARARAJAN — The Liouville function in short intervals [after Matomäki and Radziwiłł] The Liouville function λ(n) is a completely multiplicative function, taking the value 1 if n has an even number of prime factors (counted with multiplicity) and −1 if n has an odd number of prim
From playlist Bourbaki - 18 juin 2016
Introduction to number theory lecture 46. Products of Dirichlet series
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 discuss products of Dirichlet series and show how to use them to prove identities involv
From playlist Introduction to number theory (Berkeley Math 115)
Vicious Invaders Spark a New Era of Roman History | Colosseum
A new era of Roman history begins after a vicious threat from Barbadian invaders. See more in this clip from Season 1, "The Pagan." Watch all new episodes of Colosseum, Sundays at 9/8c, and stay up to date on all of your favorite The HISTORY Channel shows at http://history.com/schedule.
From playlist Colosseum: Official Series Playlist | History
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)