Sieve methods, exponential sums, and their applications in number theory: proceedings of a symposium held on Cardiff, July 1995
This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particula...
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| Other Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1997
|
| Series: | London Mathematical Society lecture note series
237 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 344 pages) |
| ISBN: | 9780511526091 |
| DOI: | 10.1017/CBO9780511526091 |
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| 505 | 8 | 0 | |t The exceptional set for Goldbach's problem in short intervals |r R.C. Baker, G. Harman and J. Pintz |t On an additive property of stable sets |r A. Balog and I.Z. Ruzsa |t Squarefree values of polynomials and the abc-conjecture |r J. Browkin [and others] |t The values of binary linear forms at prime arguments |r J. Brudern, R.J. Cook and A. Perelli |t Some applications of sieves of dimension exceeding 1 |r H. Diamond and H. Halberstam |t Representations by the determinant and mean values of L-functions |r W. Duke, J. Friedlander and H. Iwaniec |t On the Montgomery-Hooley asymptotic formula |r D.A. Goldston and R.C. Vaughan |
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Record in the Search Index
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| any_adam_object | |
| author2 | Greaves, G. R. H. 1941- Harman, G. 1956- Huxley, M. N. |
| author2_role | edt edt edt |
| author2_variant | g r h g grh grhg g h gh m n h mn mnh |
| author_additional | R.C. Baker, G. Harman and J. Pintz A. Balog and I.Z. Ruzsa J. Browkin [and others] J. Brudern, R.J. Cook and A. Perelli H. Diamond and H. Halberstam W. Duke, J. Friedlander and H. Iwaniec D.A. Goldston and R.C. Vaughan |
| author_facet | Greaves, G. R. H. 1941- Harman, G. 1956- Huxley, M. N. |
| building | Verbundindex |
| bvnumber | BV043941480 |
| classification_rvk | SD 1995 SI 320 SK 180 |
| collection | ZDB-20-CBO |
| contents | The exceptional set for Goldbach's problem in short intervals On an additive property of stable sets Squarefree values of polynomials and the abc-conjecture The values of binary linear forms at prime arguments Some applications of sieves of dimension exceeding 1 Representations by the determinant and mean values of L-functions On the Montgomery-Hooley asymptotic formula |
| ctrlnum | (ZDB-20-CBO)CR9780511526091 (OCoLC)849906627 (DE-599)BVBBV043941480 |
| dewey-full | 512/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.73 |
| dewey-search | 512/.73 |
| dewey-sort | 3512 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526091 |
| format | Electronic eBook |
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| spelling | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 edited by G.R.H. Greaves, G. Harman, M.N. Huxley Sieve Methods, Exponential Sums, & their Applications in Number Theory Cambridge Cambridge University Press 1997 1 online resource (x, 344 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 237 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The exceptional set for Goldbach's problem in short intervals R.C. Baker, G. Harman and J. Pintz On an additive property of stable sets A. Balog and I.Z. Ruzsa Squarefree values of polynomials and the abc-conjecture J. Browkin [and others] The values of binary linear forms at prime arguments J. Brudern, R.J. Cook and A. Perelli Some applications of sieves of dimension exceeding 1 H. Diamond and H. Halberstam Representations by the determinant and mean values of L-functions W. Duke, J. Friedlander and H. Iwaniec On the Montgomery-Hooley asymptotic formula D.A. Goldston and R.C. Vaughan This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function Sieves (Mathematics) / Congresses Exponential sums / Congresses Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Exponentialsumme (DE-588)4201355-0 gnd rswk-swf Siebmethode (DE-588)4181206-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Siebmethode (DE-588)4181206-2 s Exponentialsumme (DE-588)4201355-0 s Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 Algebraische Zahlentheorie (DE-588)4001170-7 s 2\p DE-604 Greaves, G. R. H. 1941- edt Harman, G. 1956- edt Huxley, M. N. edt Erscheint auch als Druckausgabe 978-0-521-58957-4 https://doi.org/10.1017/CBO9780511526091 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 The exceptional set for Goldbach's problem in short intervals On an additive property of stable sets Squarefree values of polynomials and the abc-conjecture The values of binary linear forms at prime arguments Some applications of sieves of dimension exceeding 1 Representations by the determinant and mean values of L-functions On the Montgomery-Hooley asymptotic formula Sieves (Mathematics) / Congresses Exponential sums / Congresses Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Exponentialsumme (DE-588)4201355-0 gnd Siebmethode (DE-588)4181206-2 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4067277-3 (DE-588)4201355-0 (DE-588)4181206-2 (DE-588)1071861417 |
| title | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 |
| title_alt | Sieve Methods, Exponential Sums, & their Applications in Number Theory The exceptional set for Goldbach's problem in short intervals On an additive property of stable sets Squarefree values of polynomials and the abc-conjecture The values of binary linear forms at prime arguments Some applications of sieves of dimension exceeding 1 Representations by the determinant and mean values of L-functions On the Montgomery-Hooley asymptotic formula |
| title_auth | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 |
| title_exact_search | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 |
| title_full | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 edited by G.R.H. Greaves, G. Harman, M.N. Huxley |
| title_fullStr | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 edited by G.R.H. Greaves, G. Harman, M.N. Huxley |
| title_full_unstemmed | Sieve methods, exponential sums, and their applications in number theory proceedings of a symposium held on Cardiff, July 1995 edited by G.R.H. Greaves, G. Harman, M.N. Huxley |
| title_short | Sieve methods, exponential sums, and their applications in number theory |
| title_sort | sieve methods exponential sums and their applications in number theory proceedings of a symposium held on cardiff july 1995 |
| title_sub | proceedings of a symposium held on Cardiff, July 1995 |
| topic | Sieves (Mathematics) / Congresses Exponential sums / Congresses Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Exponentialsumme (DE-588)4201355-0 gnd Siebmethode (DE-588)4181206-2 gnd |
| topic_facet | Sieves (Mathematics) / Congresses Exponential sums / Congresses Algebraische Zahlentheorie Zahlentheorie Exponentialsumme Siebmethode Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511526091 |
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