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scienceMar 11, 202515:39pending

J Fractions, Q-Series, and the Divisor Function

About this episode

Dive into a new kind of continued fraction called the J fraction, its link to q-series, and how these tools unlock the divisor function. We’ll unpack how carefully chosen q-dependent coefficients connect J fractions to q-Pochhammer symbols, generate divisor and sum-of-divisors generating functions, and illustrate with concrete calculations.


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J Fractions, Q-Series, and the Divisor Function

Intellectually Curious

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