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LEADER: 02738fam a2200373 a 4500
001 1565233
005 20220608191108.0
008 940707t19941994riua b 100 0 eng
010 $a 94026864
020 $a0821807374
035 $a(OCoLC)30811108
035 $a(OCoLC)ocm30811108
035 $9AKF1370CU
035 $a(NNC)1565233
035 $a1565233
040 $aDLC$cDLC$dDLC$dOrLoB$dOrLoB
050 00 $aQA1$b.R33 no. 84$aQA241
082 00 $a510 s$a512/.73$220
100 1 $aMontgomery, Hugh L.$0http://id.loc.gov/authorities/names/n80139839
245 10 $aTen lectures on the interface between analytic number theory and harmonic analysis /$cHugh L. Montgomery.
260 $aProvidence, R.I. :$bPublished for the Conference Board of the Mathematical Sciences by the American Mathematical Society,$c[1994], ©1994.
300 $axiii, 220 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aRegional conference series in mathematics,$x0160-7642 ;$vno. 84
500 $a"Expository lectures from the NSF-CBMS regional conference held at Kansas State University, Manhattan, May 22-25, 1990"--T.p. verso.
504 $aIncludes bibliographical references (p. 210-213) and index.
505 0 $aCh. 1. Uniform Distribution -- Ch. 2. van der Corput Sets -- Ch. 3. Exponential Sums I: The Methods of Weyl and van der Corput -- Ch. 4. Exponential Sums II: Vinogradov's Method -- Ch. 5. An Introduction to Turan's Method -- Ch. 6. Irregularities of Distribution -- Ch. 7. Mean and Large Values of Dirichlet Polynomials -- Ch. 8. Distribution of Reduced Residue Classes in Short Intervals -- Ch. 9. Zeros of L-functions -- Ch. 10. Small Polynomials with Integral Coefficients.
520 $aThis book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature.
520 8 $aThis book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.
650 0 $aNumber theory$vCongresses.$0http://id.loc.gov/authorities/subjects/sh2008108511
650 0 $aHarmonic analysis$vCongresses.$0http://id.loc.gov/authorities/subjects/sh2008105487
830 0 $aRegional conference series in mathematics ;$vno. 84.$0http://id.loc.gov/authorities/names/n42020953
852 00 $bmat$hQA1$i.R33 no.84