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15
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Prove that this limit is $-2$, which is a trivial zero of the Riemann zeta function.

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#limits #derivatives #roots #riemann-zeta #analytic-continuation
20
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A Nested Radical Arising from a Nonlinear Recurrence

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#complex-numbers #recurrence-relations #nested-radicals #analytic-continuation
42
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How do we prove this nested radical solution?

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#complex-numbers #recurrence-relations #nested-radicals #analytic-continuation
51
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Computing ratio of two sums

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#numerical-methods #power-series #rational-functions #analytic-continuation
83
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How to find If Mellin transform has no poles?

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#complex-analysis #singularity #analytic-continuation #mellin-transform
25
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can there be fractional values in the Veblen hierarchy?

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#ordinals #analytic-continuation
32
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Useful Partial Sums

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#real-analysis #calculus #sequences-and-series #summation #analytic-continuation
65
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Analytic continuations for $(-1)^x$ over the real number line

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#real-analysis #calculus #functions #analytic-continuation
137
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Riemann continuation theorem

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#complex-analysis #analytic-continuation
58
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Simple example of analytic continuation along a path

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#complex-analysis #analytic-functions #analytic-continuation
107
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Understanding Vladimir Maz'ya's Problem 72 what is $|dy|$?

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#complex-analysis #partial-differential-equations #analytic-continuation
46
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Riemann zeta conjugate extension to real plane < 1

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#number-theory #riemann-zeta #analytic-continuation
702
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Description of Riemann surface of polynomial inverse

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#complex-analysis #polynomials #riemann-surfaces #analytic-continuation
46
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For all complex $|z| \neq 1$ : $\sum_{n=0}^{\infty} w_n \frac{z^n}{1+z^n+z^{2n}+z^{3n}+z^{4n}} = \sum_{n=0}^{\infty} u_n \frac{z^n}{1+z^n+z^{2n}}$?

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#taylor-expansion #rational-functions #analytic-continuation #cyclotomic-polynomials #lacunary-series
60
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Extending a holomorphic function on $\mathbb{C}\backslash K$ to an entire function

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#complex-analysis #entire-functions #analytic-continuation

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