Number theory and polynomials:
Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a varie...
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| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Series: | London Mathematical Society lecture note series
352 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book's contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman's inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiv, 349 pages) |
| ISBN: | 9780511721274 |
| DOI: | 10.1017/CBO9780511721274 |
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| 505 | 8 | 0 | |t The trace problem for totally positive algebraic integers |t Appendix |r Julian Aguirre and |r Juan Carlos Peral |r Jean-Pierre Serre |t Mahler's measure: from Number theory to geometry |r Marie Jose Bertin |t Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps |r Frits Beukers and |r Hans Montanus |t The merit factor problem |r Peter Borwein |r Ron Ferguson and |r Joshua Knauer |t Barker sequences and flat polynomials |r Peter Borwein and |r Michael Mossinghoff |t The Hansen-Mullen primitivity conjecture: completion of proof |r Stephen Cohen and |r Mateja Presern |t An inequality for the multiplicity of the roots of a polynomial |r Arturas Dubickas |t Newman's inequality for in creasing exponential sums |r Tamas Erdelyi |t On primitive divisors of n² + b |r Graham Everest and |r Glyn Harman |t Irreducibility and greatest common divisor algorithms for sparse polynomials |r Michael Filaseta |r Andrew Granville and |r Andrzej Schinzel |t Consequences of the continuity of the monic integer transfinite diameter |r Jan Hilmar |t Nonlinear recurrence sequences and Laurent polynomials |r Andrew Hone |t Conjugate algebraic numbers on conics : a survey |r James McKee |t On polynomial ergodic averages and square functions |r Radhakrishnan Nair |t Polynomial inequalities, Mahler's measure, and multipliers |r Igor E. Pritsket |t Integer transfinite diameter and computation of polynomials |r Georges Rhin and |r Qiang Wu |t Smooth divisors of polynomials |r Eira Scourfield |t Self-inversive polynomials with all zeros on the unit circle |r Christopher Sinclair and |r Jeffrey Vaaler |
| 505 | 8 | 0 | |t The Mahler measure of algebraic numbers: a survey |r Chris Smyth |
| 520 | |a Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book's contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman's inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory | ||
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Record in the Search Index
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|---|---|
| any_adam_object | |
| author2 | McKee, James Smyth, Chris |
| author2_role | edt edt |
| author2_variant | j m jm c s cs |
| author_additional | Julian Aguirre and Juan Carlos Peral Jean-Pierre Serre Marie Jose Bertin Frits Beukers and Hans Montanus Peter Borwein Ron Ferguson and Joshua Knauer Peter Borwein and Michael Mossinghoff Stephen Cohen and Mateja Presern Arturas Dubickas Tamas Erdelyi Graham Everest and Glyn Harman Michael Filaseta Andrew Granville and Andrzej Schinzel Jan Hilmar Andrew Hone James McKee Radhakrishnan Nair Igor E. Pritsket Georges Rhin and Qiang Wu Eira Scourfield Christopher Sinclair and Jeffrey Vaaler Chris Smyth |
| author_facet | McKee, James Smyth, Chris |
| building | Verbundindex |
| bvnumber | BV043941280 |
| classification_rvk | SI 320 SK 180 |
| collection | ZDB-20-CBO |
| contents | The trace problem for totally positive algebraic integers Appendix Mahler's measure: from Number theory to geometry Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps The merit factor problem Barker sequences and flat polynomials The Hansen-Mullen primitivity conjecture: completion of proof An inequality for the multiplicity of the roots of a polynomial Newman's inequality for in creasing exponential sums On primitive divisors of n² + b Irreducibility and greatest common divisor algorithms for sparse polynomials Consequences of the continuity of the monic integer transfinite diameter Nonlinear recurrence sequences and Laurent polynomials Conjugate algebraic numbers on conics : a survey On polynomial ergodic averages and square functions Polynomial inequalities, Mahler's measure, and multipliers Integer transfinite diameter and computation of polynomials Smooth divisors of polynomials Self-inversive polynomials with all zeros on the unit circle The Mahler measure of algebraic numbers: a survey |
| ctrlnum | (ZDB-20-CBO)CR9780511721274 (OCoLC)847068843 (DE-599)BVBBV043941280 |
| 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/CBO9780511721274 |
| format | Electronic eBook |
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| spelling | Number theory and polynomials [edited by] James McKee, Chris Smyth Number Theory & Polynomials Cambridge Cambridge University Press 2008 1 online resource (xiv, 349 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 352 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The trace problem for totally positive algebraic integers Appendix Julian Aguirre and Juan Carlos Peral Jean-Pierre Serre Mahler's measure: from Number theory to geometry Marie Jose Bertin Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps Frits Beukers and Hans Montanus The merit factor problem Peter Borwein Ron Ferguson and Joshua Knauer Barker sequences and flat polynomials Peter Borwein and Michael Mossinghoff The Hansen-Mullen primitivity conjecture: completion of proof Stephen Cohen and Mateja Presern An inequality for the multiplicity of the roots of a polynomial Arturas Dubickas Newman's inequality for in creasing exponential sums Tamas Erdelyi On primitive divisors of n² + b Graham Everest and Glyn Harman Irreducibility and greatest common divisor algorithms for sparse polynomials Michael Filaseta Andrew Granville and Andrzej Schinzel Consequences of the continuity of the monic integer transfinite diameter Jan Hilmar Nonlinear recurrence sequences and Laurent polynomials Andrew Hone Conjugate algebraic numbers on conics : a survey James McKee On polynomial ergodic averages and square functions Radhakrishnan Nair Polynomial inequalities, Mahler's measure, and multipliers Igor E. Pritsket Integer transfinite diameter and computation of polynomials Georges Rhin and Qiang Wu Smooth divisors of polynomials Eira Scourfield Self-inversive polynomials with all zeros on the unit circle Christopher Sinclair and Jeffrey Vaaler The Mahler measure of algebraic numbers: a survey Chris Smyth Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book's contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman's inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory Number theory / Congresses Polynomials / Congresses Polynom (DE-588)4046711-9 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Zahlentheorie (DE-588)4067277-3 s Polynom (DE-588)4046711-9 s 1\p DE-604 McKee, James edt Smyth, Chris edt Erscheint auch als Druckausgabe 978-0-521-71467-9 https://doi.org/10.1017/CBO9780511721274 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Number theory and polynomials The trace problem for totally positive algebraic integers Appendix Mahler's measure: from Number theory to geometry Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps The merit factor problem Barker sequences and flat polynomials The Hansen-Mullen primitivity conjecture: completion of proof An inequality for the multiplicity of the roots of a polynomial Newman's inequality for in creasing exponential sums On primitive divisors of n² + b Irreducibility and greatest common divisor algorithms for sparse polynomials Consequences of the continuity of the monic integer transfinite diameter Nonlinear recurrence sequences and Laurent polynomials Conjugate algebraic numbers on conics : a survey On polynomial ergodic averages and square functions Polynomial inequalities, Mahler's measure, and multipliers Integer transfinite diameter and computation of polynomials Smooth divisors of polynomials Self-inversive polynomials with all zeros on the unit circle The Mahler measure of algebraic numbers: a survey Number theory / Congresses Polynomials / Congresses Polynom (DE-588)4046711-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4046711-9 (DE-588)4067277-3 (DE-588)1071861417 |
| title | Number theory and polynomials |
| title_alt | Number Theory & Polynomials The trace problem for totally positive algebraic integers Appendix Mahler's measure: from Number theory to geometry Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps The merit factor problem Barker sequences and flat polynomials The Hansen-Mullen primitivity conjecture: completion of proof An inequality for the multiplicity of the roots of a polynomial Newman's inequality for in creasing exponential sums On primitive divisors of n² + b Irreducibility and greatest common divisor algorithms for sparse polynomials Consequences of the continuity of the monic integer transfinite diameter Nonlinear recurrence sequences and Laurent polynomials Conjugate algebraic numbers on conics : a survey On polynomial ergodic averages and square functions Polynomial inequalities, Mahler's measure, and multipliers Integer transfinite diameter and computation of polynomials Smooth divisors of polynomials Self-inversive polynomials with all zeros on the unit circle The Mahler measure of algebraic numbers: a survey |
| title_auth | Number theory and polynomials |
| title_exact_search | Number theory and polynomials |
| title_full | Number theory and polynomials [edited by] James McKee, Chris Smyth |
| title_fullStr | Number theory and polynomials [edited by] James McKee, Chris Smyth |
| title_full_unstemmed | Number theory and polynomials [edited by] James McKee, Chris Smyth |
| title_short | Number theory and polynomials |
| title_sort | number theory and polynomials |
| topic | Number theory / Congresses Polynomials / Congresses Polynom (DE-588)4046711-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Number theory / Congresses Polynomials / Congresses Polynom Zahlentheorie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511721274 |
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