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# Questions tagged [exponential-polynomials]

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### Is it possible to solve for y in this equation? [closed]

Is it possible to solve for $y$ in this equation? $$-y^{-x}+y-1=0$$ People have mentioned the use of the Lambert W function or other non-elementary functions, but I haven't been able to make use of ...
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### Introductory text book for Linear Recurrence Sequences

What is a good introductory text for linear recurrence sequences? What all are the necessary prerequisite for it? (My background is in Euclidean Fourier Analysis.) After browsing through several ...
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### Queries about the Skolem-Mahler-Lech theorem (integer zeros of exponential polynomials)

The Skolem-Mahler-Lech Theorem says that the integer zeros of an exponential polynomial are the union of complete arithmetic progressions and a finite number of exceptional zeros. http://terrytao....
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### Relation between entire function of exponential type and exponential polynomials

Is it true in general that the theory of entire function of exponential type and and that of exponential polynomials (with purely imaginary exponents) are analogous ? Can one derive results about ...
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### How to find the almost period of an exponential polynomial

Let $u(t) = \Sigma_{k=1}^n c_k e^{i \lambda_k t} (c_k \in \mathbb C, \lambda_k \in \mathbb R)$ be an exponential polynomial of order $n$ with purely imaginary exponents. We can assume that the ...
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### Approximation by exponential polynomials

Let $u(t) = \Sigma_{k=1}^n c_k e^{\lambda_k t} (c_k \in \mathbb C, \lambda_k \in \mathbb C)$ be an exponential polynomial of order $n$. Define $E_n$ to be the collection of all exponential ...
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### Salem Inequality

I have come across this inequality in the paper "Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type" http://www.math.msu.edu/~fedja/...
Let $p(t) = \Sigma_{k=1}^n c_k e^{i \lambda_k t}$ be an exponential polynomial. In the paper "Local estimates for exponential polynomials and their applications to inequalities of the uncertainty ...
Consider the following extension of polynomials. The rational exponential expressions (REXes) are given by: The leaves 1 and $x$ for $x$ drawn from a class of variables; and Closed under the binary ...