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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6220 • Complex Analysis

Fall 2020 • Question 3

Question

Math 6220 • Complex Analysis Fall 2020 • Question 3

Prove or disprove: An entire function \(f\) so that \(f(n)=0\) for all \(n\in \mathbb {Z}\) is identically 0.

Raw LaTeX

Prove or disprove: An entire function \(f\) so that \(f(n)=0\) for all \(n\in\mathbb{Z}\) is
identically 0.

Topic Tags

Entire Functions and Liouville-Type Theorems