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Showing posts with the label The Geometry Behind the Airy Function

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Deriving the Meissel–Mertens Constant

Posted by Nikitas Sotiropoulos on July 16, 2026

Meissel–Mertens constant Möbius Inversion Zeta Function

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A Small Taste from My New Book: Season 2 Episode 12

Posted by Nikitas Sotiropoulos on May 10, 2026

The Geometry Behind the Airy Function Where Complex Analysis Reveals Its Power

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

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Airy functions
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Alternating series
Analytic continuation
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Applications in Analysis and Number Theory
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Deriving the Meissel–Mertens Constant

The analysis naturally continues from Mertens’ second theorem

The Sum That Needs More Than the Universe Can Count

The harmonic mean of two numbers a and b is defined as the reciprocal of the arithmetic mean of their reciprocals, given by

A Small Taste from My New Book

In today’s installment of “A Small Taste from My New Book” , I want to share two contour integrals that illustrate how classical complex-analytic techniques unify a surprising amount of modern mathematics.

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