Academic Journal
On an upper bound for biquadratic Weyl sums
| Title: | On an upper bound for biquadratic Weyl sums |
|---|---|
| Authors: | Deshouillers, Jean-Marc |
| Publisher Information: | Scuola Normale Superiore, Pisa |
| Subject Terms: | estimation of sums over multiplicative functions in residue classes, Hardy-Littlewood method, Waring problem for biquadrates, Asymptotic results on arithmetic functions, Waring's problem and variants, Estimates on exponential sums, estimates of exponential sums with explicit constants |
| Description: | In order to solve the Waring problem for biquadrates \((g(4)=19)\) it is unavoidable to apply the Hardy-Littlewood method with explicit \(O\)- constants in the error terms. In the paper under review the author proves an explicit estimation for the exponential sum \[ S_ \varepsilon= \sum_{P-{1\over 2}\varepsilon10^{80}\), \(0 |
| Document Type: | Article |
| File Description: | application/xml |
| Access URL: | https://zbmath.org/165239 |
| Accession Number: | edsair.c2b0b933574d..0f0861d63daccda7b2abc3b37b5c24e8 |
| Database: | OpenAIRE |
| Description not available. |