Merit Factors of Polynomials Formed by Jacobi Symbols
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Bibliographic record
Abstract
Abstract We give explicit formulas for the L 4 norm (or equivalently for the merit factors) of various sequences of polynomials related to the polynomials and where is the Jacobi symbol. Two cases of particular interest are when N = pq is a product of two primes and p = q + 2 or p = q + 4. This extends work of Høholdt, Jensen and Jensen and of the authors. This study arises from a number of conjectures of Erdȍs, Littlewood and others that concern the norms of polynomials with −1, 1 coefficients on the disc. The current best examples are of the above form when N is prime and it is natural to see what happens for composite N .
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
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