Operations on L-functions (RH Saga S1E5)

This is the fifth episode of the RH Saga.

We consider various operations with L-functions as input and/or output. There are binary operations called addition and multiplication (also known as "direct sum" and "tensor product"). There are also unary operations (like the symmetric square), a kind of "inner product", and the ubiquitous idea of a "family of L-functions".

The overall aim of RH Saga Season 1 is to map the landscape of L-functions, as a foundation for future in-depth exploration of some of the most immortal math problems of all time.

This video is part of a PeakMath course. Join the journey at https://www.peakmath.org/

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Chapters:
00:00 - Intro
02:54 - Families
08:01 - Addition
14:44 - Multiplication
23:28 - Lambda-operations
28:54 - Selberg inner product
32:44 - Final remarks

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Links:

1. LMFDB:
https://www.lmfdb.org/

2. Amazon link to the book "Fearless Symmetry":
https://www.amazon.com/Fearless-Symme...


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Errata:

No errors found yet.

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Social:

https://www.peakmath.org/

#RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga #Langlands