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Petty's Notebook

Ghost
blog.alexpetty.com· irregular· Published 5 months ago

A long-running blog exploring number-theoretic structures such as digit collisions in long division, Dedekind sums and carry boundaries, with links to L-functions and modular forms. Each issue develops a research thread and walks through concrete examples like dividing 1 by 7 in various bases.

digit collisionslong divisiondedekind sumsl-functionsriemann zetacarry boundariesbernoulli numbersmodular formsrademacher reciprocityrecurrence sequencesarithmeticsawtooth function
Platform
Ghost
Frequency
Irregular
Latest issue
Jun 4, 2026
Language
English
Written for
Mathematicians and advanced students interested in number theory research
Tone
analytical
Tracked since
Oct 23, 2026

Website: https://blog.alexpetty.com/