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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.

3 votes
2 answers
254 views

On the arithmetic of powers of subseries of the exponential series

Let $p$ be a prime number and $q=p-1$. I’m trying to prove that the nonzero coefficients $a_{qk}$ ($k\ge1$) of the power series $$ \sum_{k\ge1} a_{qk} z^{qk} := \left( \sum_{k\ge0} \frac{z^{qk+1}}{(qk …