A panorama in number theory or the view from Baker's garden:
Alan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of the leaders in the subject were brought together to present an account of research in the last ce...
Gespeichert in:
Weitere beteiligte Personen: | , |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2002
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Schlagwörter: | |
Links: | https://doi.org/10.1017/CBO9780511542961 https://doi.org/10.1017/CBO9780511542961 https://doi.org/10.1017/CBO9780511542961 |
Zusammenfassung: | Alan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of the leaders in the subject were brought together to present an account of research in the last century as well as speculations for possible further research. The papers in this volume cover a broad spectrum of number theory including geometric, algebrao-geometric and analytic aspects. This volume will appeal to number theorists, algebraic geometers, and geometers with a number-theoretic background. However, it will also be valuable for mathematicians (in particular research students) who would like to be informed of the state of number theory at the start of the 21st century and in possible developments for the future |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Umfang: | 1 online resource (xv, 356 pages) |
ISBN: | 9780511542961 |
DOI: | 10.1017/CBO9780511542961 |
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505 | 8 | |a One century of logarithmic forms / G. Wüstholz -- Report on p-adic logarithmic forms / Kunrui Yu -- Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko Hirata-Kohno -- Solving diophantine equations by Baker's theory / Kálmán Győry -- Baker's method and modular curves / Yuri F. Bilu -- Application of the Andrè-Oort conjecture to some questions in transcendence / Paula B. Cohen & Gilbert Wüstholz -- Regular dessins, endomorphisms of Jacobians, and transcendence / Jürgen Wolfart -- Maass cusp forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture / Dorian Goldfeld -- On the algebraic independence of numbers / Yu. V. Nesterenko -- Ideal lattices / Eva Bayer-Fluckiger -- Integral points and Mordell-Weil lattices / Tetsuji Shioda -- Forty years of effective results in diophantine theory / Enrico Bombieri -- Points on subvarieties of Tori / Jan-Hendrik Evertse -- A new application of diophantine approximations / G. Faltings -- Search bounds for diophantine equations / D.W. Masser -- Regular systems, ubiquity and diophantine approximation / V.V. Beresnevich, V.I. Bernik & M.M. Dodson -- Diophantine approximation, lattices and flows on homogeneous spaces / Gregory Margulis -- On linear ternary equations with prime variables / Ming-Chit Liu & Tianze Wang -- Powers in arithmetic progression / T.N. Shorey -- On the greatest common divisor of two univariate polynomials / A. Schinzel -- Heilbronn's exponential sum and transcendence theory / D.R. Heath-Brown | |
520 | |a Alan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of the leaders in the subject were brought together to present an account of research in the last century as well as speculations for possible further research. The papers in this volume cover a broad spectrum of number theory including geometric, algebrao-geometric and analytic aspects. This volume will appeal to number theorists, algebraic geometers, and geometers with a number-theoretic background. However, it will also be valuable for mathematicians (in particular research students) who would like to be informed of the state of number theory at the start of the 21st century and in possible developments for the future | ||
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Datensatz im Suchindex
_version_ | 1818982576201662464 |
---|---|
any_adam_object | |
author2 | Baker, Alan 1939-2018 Wüstholz, Gisbert 1948- |
author2_role | edt edt |
author2_variant | a b ab g w gw |
author_GND | (DE-588)134145275 (DE-588)129338710 |
author_facet | Baker, Alan 1939-2018 Wüstholz, Gisbert 1948- |
building | Verbundindex |
bvnumber | BV043945120 |
classification_rvk | SD 1999 SK 180 |
collection | ZDB-20-CBO |
contents | One century of logarithmic forms / G. Wüstholz -- Report on p-adic logarithmic forms / Kunrui Yu -- Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko Hirata-Kohno -- Solving diophantine equations by Baker's theory / Kálmán Győry -- Baker's method and modular curves / Yuri F. Bilu -- Application of the Andrè-Oort conjecture to some questions in transcendence / Paula B. Cohen & Gilbert Wüstholz -- Regular dessins, endomorphisms of Jacobians, and transcendence / Jürgen Wolfart -- Maass cusp forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture / Dorian Goldfeld -- On the algebraic independence of numbers / Yu. V. Nesterenko -- Ideal lattices / Eva Bayer-Fluckiger -- Integral points and Mordell-Weil lattices / Tetsuji Shioda -- Forty years of effective results in diophantine theory / Enrico Bombieri -- Points on subvarieties of Tori / Jan-Hendrik Evertse -- A new application of diophantine approximations / G. Faltings -- Search bounds for diophantine equations / D.W. Masser -- Regular systems, ubiquity and diophantine approximation / V.V. Beresnevich, V.I. Bernik & M.M. Dodson -- Diophantine approximation, lattices and flows on homogeneous spaces / Gregory Margulis -- On linear ternary equations with prime variables / Ming-Chit Liu & Tianze Wang -- Powers in arithmetic progression / T.N. Shorey -- On the greatest common divisor of two univariate polynomials / A. Schinzel -- Heilbronn's exponential sum and transcendence theory / D.R. Heath-Brown |
ctrlnum | (ZDB-20-CBO)CR9780511542961 (OCoLC)849969272 (DE-599)BVBBV043945120 |
dewey-full | 512.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511542961 |
format | Electronic eBook |
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institution | BVB |
isbn | 9780511542961 |
language | English |
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spelling | A panorama in number theory or the view from Baker's garden edited by Gisbert Wüstholz Cambridge Cambridge University Press 2002 1 online resource (xv, 356 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) One century of logarithmic forms / G. Wüstholz -- Report on p-adic logarithmic forms / Kunrui Yu -- Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko Hirata-Kohno -- Solving diophantine equations by Baker's theory / Kálmán Győry -- Baker's method and modular curves / Yuri F. Bilu -- Application of the Andrè-Oort conjecture to some questions in transcendence / Paula B. Cohen & Gilbert Wüstholz -- Regular dessins, endomorphisms of Jacobians, and transcendence / Jürgen Wolfart -- Maass cusp forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture / Dorian Goldfeld -- On the algebraic independence of numbers / Yu. V. Nesterenko -- Ideal lattices / Eva Bayer-Fluckiger -- Integral points and Mordell-Weil lattices / Tetsuji Shioda -- Forty years of effective results in diophantine theory / Enrico Bombieri -- Points on subvarieties of Tori / Jan-Hendrik Evertse -- A new application of diophantine approximations / G. Faltings -- Search bounds for diophantine equations / D.W. Masser -- Regular systems, ubiquity and diophantine approximation / V.V. Beresnevich, V.I. Bernik & M.M. Dodson -- Diophantine approximation, lattices and flows on homogeneous spaces / Gregory Margulis -- On linear ternary equations with prime variables / Ming-Chit Liu & Tianze Wang -- Powers in arithmetic progression / T.N. Shorey -- On the greatest common divisor of two univariate polynomials / A. Schinzel -- Heilbronn's exponential sum and transcendence theory / D.R. Heath-Brown Alan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of the leaders in the subject were brought together to present an account of research in the last century as well as speculations for possible further research. The papers in this volume cover a broad spectrum of number theory including geometric, algebrao-geometric and analytic aspects. This volume will appeal to number theorists, algebraic geometers, and geometers with a number-theoretic background. However, it will also be valuable for mathematicians (in particular research students) who would like to be informed of the state of number theory at the start of the 21st century and in possible developments for the future Number theory / Congresses Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 Baker, Alan 1939-2018 (DE-588)134145275 edt Wüstholz, Gisbert 1948- (DE-588)129338710 edt Erscheint auch als Druckausgabe 978-0-521-80799-9 https://doi.org/10.1017/CBO9780511542961 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | A panorama in number theory or the view from Baker's garden One century of logarithmic forms / G. Wüstholz -- Report on p-adic logarithmic forms / Kunrui Yu -- Recent progress on linear forms in elliptic logarithms / Sinnou David & Noriko Hirata-Kohno -- Solving diophantine equations by Baker's theory / Kálmán Győry -- Baker's method and modular curves / Yuri F. Bilu -- Application of the Andrè-Oort conjecture to some questions in transcendence / Paula B. Cohen & Gilbert Wüstholz -- Regular dessins, endomorphisms of Jacobians, and transcendence / Jürgen Wolfart -- Maass cusp forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture / Dorian Goldfeld -- On the algebraic independence of numbers / Yu. V. Nesterenko -- Ideal lattices / Eva Bayer-Fluckiger -- Integral points and Mordell-Weil lattices / Tetsuji Shioda -- Forty years of effective results in diophantine theory / Enrico Bombieri -- Points on subvarieties of Tori / Jan-Hendrik Evertse -- A new application of diophantine approximations / G. Faltings -- Search bounds for diophantine equations / D.W. Masser -- Regular systems, ubiquity and diophantine approximation / V.V. Beresnevich, V.I. Bernik & M.M. Dodson -- Diophantine approximation, lattices and flows on homogeneous spaces / Gregory Margulis -- On linear ternary equations with prime variables / Ming-Chit Liu & Tianze Wang -- Powers in arithmetic progression / T.N. Shorey -- On the greatest common divisor of two univariate polynomials / A. Schinzel -- Heilbronn's exponential sum and transcendence theory / D.R. Heath-Brown Number theory / Congresses Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4067277-3 (DE-588)1071861417 |
title | A panorama in number theory or the view from Baker's garden |
title_auth | A panorama in number theory or the view from Baker's garden |
title_exact_search | A panorama in number theory or the view from Baker's garden |
title_full | A panorama in number theory or the view from Baker's garden edited by Gisbert Wüstholz |
title_fullStr | A panorama in number theory or the view from Baker's garden edited by Gisbert Wüstholz |
title_full_unstemmed | A panorama in number theory or the view from Baker's garden edited by Gisbert Wüstholz |
title_short | A panorama in number theory or the view from Baker's garden |
title_sort | a panorama in number theory or the view from baker s garden |
topic | Number theory / Congresses Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Number theory / Congresses Zahlentheorie Konferenzschrift |
url | https://doi.org/10.1017/CBO9780511542961 |
work_keys_str_mv | AT bakeralan apanoramainnumbertheoryortheviewfrombakersgarden AT wustholzgisbert apanoramainnumbertheoryortheviewfrombakersgarden |