Academic Journal
On an upper bound for biquadratic Weyl sums
| Τίτλος: | On an upper bound for biquadratic Weyl sums |
|---|---|
| Συγγραφείς: | Deshouillers, Jean-Marc |
| Στοιχεία εκδότη: | Scuola Normale Superiore, Pisa |
| Θεματικοί όροι: | 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 |
| Περιγραφή: | 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 |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Σύνδεσμος πρόσβασης: | https://zbmath.org/165239 |
| Αριθμός Καταχώρησης: | edsair.c2b0b933574d..0f0861d63daccda7b2abc3b37b5c24e8 |
| Βάση Δεδομένων: | OpenAIRE |
| Η περιγραφή δεν είναι διαθέσιμη |