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Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.

2 votes

zeros of perturbations of truncations of $\sin(z)$

This is not a direct and explicit answer. You may check papers by Varga and Carpenter etc "Zeros of partial sums of $\cos(z)$ and $\sin(z)$ I(2000), II(2001), III(2010)" and by Kappert (1996) "On the …
mike's user avatar
  • 603
9 votes
2 answers
2k views

References on Taylor series expansion of Riemann xi function

I am looking for the references on Taylor series expansion of Riemann xi function at $\frac{1}{2}$. $$ \xi (s)=\sum_0^{\infty}a_{2n}(s-\frac{1}{2})^{2n}$$ where $$a_{2n}=4\int_1^{\infty}\frac{d[x^{3/ …
mike's user avatar
  • 603