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A Small Taste from My New Book: Season 2 Episode 11

Posted by Nikitas Sotiropoulos on May 02, 2026

Airy functions The Airy Integral

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A Small Taste from My New Book: Episode 6

Posted by Nikitas Sotiropoulos on December 23, 2025

Analytic continuation Borel Summation Entire Functions Laplace–Borel Transform Power Series

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Nikitas Sotiropoulos: Exploring math, code, and complex ideas.

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Advanced Mathematics
Airy functions
Algorithms
Analytic continuation
Analytic number theory
Applications in Analysis and Number Theory
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Asymptotic Analysis
asymptotic behavior
Asymptotic formulas for Euler’s constant and the harmonic series

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A Small Taste from My New Book: Season 2 Episode 8

A Small Taste from My New Book: Season 2 Episode 9

A Small Taste from My New Book: Season 2 Episode 7

Mathematicians sometimes overlook the fact that their audience may not share the same familiarity with the terminology and conventions used in a lecture or written exposition. This is particularly challenging for readers encountering a topic for the first time, or for those who are not accustomed to the author’s personal notation and style. As a result, even well-presented ideas can become difficult to follow if the foundational language is not made explicit. To avoid unnecessary confusion and to make the discussion as accessible as possible, we will begin by carefully introducing the basic concepts, notation, and assumptions that will be used throughout this text. Establishing this common ground will allow us to focus on the mathematical ideas themselves, rather than on decoding terminology, and will provide a clear baseline from which more advanced material can be developed. In “ The Riemann Hypothesis Revealed ” at the section “The growth notation” I explain the idea behind Bi...

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