Analytic number theory:
This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive...
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| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1997
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| Schriftenreihe: | London Mathematical Society lecture note series
247 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (vi, 382 pages) |
| ISBN: | 9780511666179 |
| DOI: | 10.1017/CBO9780511666179 |
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| 505 | 8 | |a Subvarieties of linear Tori and the unit equation : a survey ; Remarks on the analytic complexity of zeta functions / E. Bombieri -- Normal distribution of zeta functions and applications / E. Bombieri and A. Perelli -- Goldbach numbers and uniform distribution / J. Brüdern and A. Perelli -- The number of algebraic numbers of given degree approximating of a given algebraic number / J.-H. Evertse -- The Brun-Titchmarsh theorem / J. Friedlander and H. Iwaniec -- A decomposition of Riemann's zeta-function / A. Granville -- Multiplicative properties of consecutive integers / A.J. Hildebrand -- On the equation (x [superscript m] -1)/(x-1) = y[superscript q] with x power / N. Hirata-Kohno and T.N. Shorey -- Congruence families of exponential sums / M.N. Huxley and N. Watt -- On some results concerning the Riemann hypothesis / A. Ivić -- Mean values of Dirichlet series via Laplace transforms / M. Jutila -- The mean square of the error term in a generalization of the Dirichlet divisor problem / K.-Y. Lam and K.M. Tsang -- The Goldbach problem with primes in arithmetic progressions / M.-C. Liu and T. Zhan -- On the sum of the three squares of primes / H. Mikawa -- Trace formula over the hyberbolic upper half space / Y. Motohashi -- Modular forms and the Chebotarev density theorem II / V.K. Murty -- Congruences between modular forms / M.R. Murty -- Regular singularities in G-function theory / M. Nagata -- Spectral theory and L-functions / P. Sarnak -- Irrationality criteria for numbers of Mahler's type / T.N. Shorey and R. Tijdeman -- Hypergeometric functions and irrationality measures / C. Viola -- Forms in many variables / T.D. Wooley -- Remark on the Kuznetsov trace formula / E. Yoshida | |
| 520 | |a This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author2 | Motohashi, Y. |
| author2_role | edt |
| author2_variant | y m ym |
| author_facet | Motohashi, Y. |
| building | Verbundindex |
| bvnumber | BV043942419 |
| classification_rvk | SI 320 SK 180 |
| collection | ZDB-20-CBO |
| contents | Subvarieties of linear Tori and the unit equation : a survey ; Remarks on the analytic complexity of zeta functions / E. Bombieri -- Normal distribution of zeta functions and applications / E. Bombieri and A. Perelli -- Goldbach numbers and uniform distribution / J. Brüdern and A. Perelli -- The number of algebraic numbers of given degree approximating of a given algebraic number / J.-H. Evertse -- The Brun-Titchmarsh theorem / J. Friedlander and H. Iwaniec -- A decomposition of Riemann's zeta-function / A. Granville -- Multiplicative properties of consecutive integers / A.J. Hildebrand -- On the equation (x [superscript m] -1)/(x-1) = y[superscript q] with x power / N. Hirata-Kohno and T.N. Shorey -- Congruence families of exponential sums / M.N. Huxley and N. Watt -- On some results concerning the Riemann hypothesis / A. Ivić -- Mean values of Dirichlet series via Laplace transforms / M. Jutila -- The mean square of the error term in a generalization of the Dirichlet divisor problem / K.-Y. Lam and K.M. Tsang -- The Goldbach problem with primes in arithmetic progressions / M.-C. Liu and T. Zhan -- On the sum of the three squares of primes / H. Mikawa -- Trace formula over the hyberbolic upper half space / Y. Motohashi -- Modular forms and the Chebotarev density theorem II / V.K. Murty -- Congruences between modular forms / M.R. Murty -- Regular singularities in G-function theory / M. Nagata -- Spectral theory and L-functions / P. Sarnak -- Irrationality criteria for numbers of Mahler's type / T.N. Shorey and R. Tijdeman -- Hypergeometric functions and irrationality measures / C. Viola -- Forms in many variables / T.D. Wooley -- Remark on the Kuznetsov trace formula / E. Yoshida |
| ctrlnum | (ZDB-20-CBO)CR9780511666179 (OCoLC)967776402 (DE-599)BVBBV043942419 |
| dewey-full | 512/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 |
| dewey-search | 512/.72 |
| dewey-sort | 3512 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511666179 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511666179 |
| language | English |
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| publishDate | 1997 |
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| spelling | Analytic number theory edited by Y. Motohashi Cambridge Cambridge University Press 1997 1 online resource (vi, 382 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 247 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Subvarieties of linear Tori and the unit equation : a survey ; Remarks on the analytic complexity of zeta functions / E. Bombieri -- Normal distribution of zeta functions and applications / E. Bombieri and A. Perelli -- Goldbach numbers and uniform distribution / J. Brüdern and A. Perelli -- The number of algebraic numbers of given degree approximating of a given algebraic number / J.-H. Evertse -- The Brun-Titchmarsh theorem / J. Friedlander and H. Iwaniec -- A decomposition of Riemann's zeta-function / A. Granville -- Multiplicative properties of consecutive integers / A.J. Hildebrand -- On the equation (x [superscript m] -1)/(x-1) = y[superscript q] with x power / N. Hirata-Kohno and T.N. Shorey -- Congruence families of exponential sums / M.N. Huxley and N. Watt -- On some results concerning the Riemann hypothesis / A. Ivić -- Mean values of Dirichlet series via Laplace transforms / M. Jutila -- The mean square of the error term in a generalization of the Dirichlet divisor problem / K.-Y. Lam and K.M. Tsang -- The Goldbach problem with primes in arithmetic progressions / M.-C. Liu and T. Zhan -- On the sum of the three squares of primes / H. Mikawa -- Trace formula over the hyberbolic upper half space / Y. Motohashi -- Modular forms and the Chebotarev density theorem II / V.K. Murty -- Congruences between modular forms / M.R. Murty -- Regular singularities in G-function theory / M. Nagata -- Spectral theory and L-functions / P. Sarnak -- Irrationality criteria for numbers of Mahler's type / T.N. Shorey and R. Tijdeman -- Hypergeometric functions and irrationality measures / C. Viola -- Forms in many variables / T.D. Wooley -- Remark on the Kuznetsov trace formula / E. Yoshida This volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory Number theory / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Analytische Zahlentheorie (DE-588)4001870-2 s 1\p DE-604 Motohashi, Y. edt Erscheint auch als Druckausgabe 978-0-521-62512-8 https://doi.org/10.1017/CBO9780511666179 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Analytic number theory Subvarieties of linear Tori and the unit equation : a survey ; Remarks on the analytic complexity of zeta functions / E. Bombieri -- Normal distribution of zeta functions and applications / E. Bombieri and A. Perelli -- Goldbach numbers and uniform distribution / J. Brüdern and A. Perelli -- The number of algebraic numbers of given degree approximating of a given algebraic number / J.-H. Evertse -- The Brun-Titchmarsh theorem / J. Friedlander and H. Iwaniec -- A decomposition of Riemann's zeta-function / A. Granville -- Multiplicative properties of consecutive integers / A.J. Hildebrand -- On the equation (x [superscript m] -1)/(x-1) = y[superscript q] with x power / N. Hirata-Kohno and T.N. Shorey -- Congruence families of exponential sums / M.N. Huxley and N. Watt -- On some results concerning the Riemann hypothesis / A. Ivić -- Mean values of Dirichlet series via Laplace transforms / M. Jutila -- The mean square of the error term in a generalization of the Dirichlet divisor problem / K.-Y. Lam and K.M. Tsang -- The Goldbach problem with primes in arithmetic progressions / M.-C. Liu and T. Zhan -- On the sum of the three squares of primes / H. Mikawa -- Trace formula over the hyberbolic upper half space / Y. Motohashi -- Modular forms and the Chebotarev density theorem II / V.K. Murty -- Congruences between modular forms / M.R. Murty -- Regular singularities in G-function theory / M. Nagata -- Spectral theory and L-functions / P. Sarnak -- Irrationality criteria for numbers of Mahler's type / T.N. Shorey and R. Tijdeman -- Hypergeometric functions and irrationality measures / C. Viola -- Forms in many variables / T.D. Wooley -- Remark on the Kuznetsov trace formula / E. Yoshida Number theory / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| subject_GND | (DE-588)4001870-2 (DE-588)1071861417 |
| title | Analytic number theory |
| title_auth | Analytic number theory |
| title_exact_search | Analytic number theory |
| title_full | Analytic number theory edited by Y. Motohashi |
| title_fullStr | Analytic number theory edited by Y. Motohashi |
| title_full_unstemmed | Analytic number theory edited by Y. Motohashi |
| title_short | Analytic number theory |
| title_sort | analytic number theory |
| topic | Number theory / Congresses Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| topic_facet | Number theory / Congresses Analytische Zahlentheorie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511666179 |
| work_keys_str_mv | AT motohashiy analyticnumbertheory |