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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2019 • Question 8

Question

Math 6210 • Real Analysis Spring 2019 • Question 8

Is there an entire function so that \[ f\left (\frac {1}{p}\right )=\frac {1}{1+p} \] for all primes \(p\)?

Raw LaTeX

Is there an entire function so that
\[
f\left(\frac{1}{p}\right)=\frac{1}{1+p}
\]
for all primes \(p\)?

Topic Tags

Entire Functions and Liouville-Type Theorems