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100   $a20040910d2004      uy         0
101 0 $aeng
135   $aurun#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aTrigonometric sums in number theory and analysis /$fby G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba
205   $a1st ed.
210   $aBerlin ;$aNew York $cWalter de Gruyter$dc2004
215   $a1 online resource (564 p.)
225 1 $aDe Gruyter expositions in mathematics ;$v39
300   $aDescription based upon print version of record.
311 0 $a3-11-016266-0 
320   $aIncludes bibliographical references (p. [539]-551) and index.
327   $tFront matter --$tContents --$tIntroduction --$tChapter 1. Trigonometric integrals --$tChapter 2. Rational trigonometric sums --$tChapter 3. Weyl sums --$tChapter 4. Mean value theorems for multiple trigonometric sums --$tChapter 5. Estimates for multiple trigonometric sums --$tChapter 6. Several applications --$tChapter 7. Special cases of the theory of multiple trigonometric sums --$tChapter 8. The Hilbert-Kamke problem and its generalizations --$tChapter 9. The padic method in three problems of number theory --$tChapter 10. Estimates of multiple trigonometric sums with prime numbers --$tChapter 11. Some applications of trigonometric sums and integrals --$tChapter 12. Short Kloosterman sums --$tBackmatter
330   $aThe book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ?s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
410  0$aGruyter expositions in mathematics ;$v39.
606   $aTrigonometric sums
615  0$aTrigonometric sums.
676   $a512.7
686   $aSK 180$2rvk
700   $aArkhipov$b Gennadii Ivanovich$01632621
701   $aChubarikov$b Vladimir Nikolaevich$01763468
701   $aKaratsuba$b Anatolii Alekseevich$01632623
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910819014203321
996   $aTrigonometric sums in number theory and analysis$94203910
997   $aUNINA