Number theory | P-adic numbers

P-adic gamma function

In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by , though pointed out that implicitly used the same function. defined a p-adic analog Gp of log Γ. had previously given a definition of a different p-adic analogue of the gamma function, but his function does not have satisfactory properties and is not used much. (Wikipedia).

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In this video, I introduce the gamma function and show a few properties of it. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

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Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Reflection Formula: https://www.youtube.com/wa

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Michael Harris: Construction of p-adic L-functions for unitary groups

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John Coates: (1/4) Classical algebraic Iwasawa theory [AWS 2018]

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p-adic automorphic forms in the sense of Scholze (Lecture 2) by Debargha Banerjee

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Hilbert modular eigenvariety at exotic and CM classical points of parallel weight one by Shaunak Deo

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"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]

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From playlist Mathematics

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PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

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Why does inverse trig functions have restrictions Function explanation

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From playlist Evaluate Inverse Trigonometric Functions

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Find the value of the trigonometric expression using inverse

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From playlist Evaluate a Composition of Inverse Trigonometric Functions

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Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai

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Related pages

Cohomology | Reflection formula | Legendre symbol | Gamma function | Mathematics | Function (mathematics) | Modular arithmetic | P-adic number | Gross–Koblitz formula | Sequence | Ceiling function | P-adic exponential function