Number theory: dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008
Gespeichert in:
| Körperschaft: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
c2010
|
| Schriftenreihe: | Series on number theory and its applications
v. 6 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory - quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms - Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi-Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students Includes bibliographical references and index Recent progress on the quantitative arithmetic of del Pezzo surfaces / Tim D. Browning -- Additive representation in thin sequences, VIII : Diophantine inequalities in review / Jörg Brüdern, Koichi Kawada and Trevor D. Wooley -- Recent progress on dynamics of a special arithmetic function / Chaohua Jia -- Some Diophantine problems arising from the isomorphism problem of generic polynomials / Akinari Hoshi and Katsuya Miyake -- A statistical relation of roots of a polynomial in different local fields II / Yoshiyuki Kitaoka -- Generalized modular functions and their Fourier coefficients / Winfried Kohnen -- Functional relations for zeta-functions of root systems / Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura -- A quick introduction to Maass forms / Jianya Liu -- The number of non-zero cofficients of a polynomial-solved and unsolved problems / Andrzej Schinzel -- Open problems on exponential and character sums / Igor E. Shparlinski -- Errata to "a general modular relation in analytic number theory" / Haruo Tsukada -- Bibliography on determinantal expressions of relative class numbers of imaginary abelian number fields / Ken Yamamura |
| Beschreibung: | 1 Online-Ressource (xvi, 252 p.) |
| ISBN: | 9789814289849 9789814289924 9814289841 9814289922 |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Recent progress on the quantitative arithmetic of del Pezzo surfaces / Tim D. Browning -- Additive representation in thin sequences, VIII : Diophantine inequalities in review / Jörg Brüdern, Koichi Kawada and Trevor D. Wooley -- Recent progress on dynamics of a special arithmetic function / Chaohua Jia -- Some Diophantine problems arising from the isomorphism problem of generic polynomials / Akinari Hoshi and Katsuya Miyake -- A statistical relation of roots of a polynomial in different local fields II / Yoshiyuki Kitaoka -- Generalized modular functions and their Fourier coefficients / Winfried Kohnen -- Functional relations for zeta-functions of root systems / Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura -- A quick introduction to Maass forms / Jianya Liu -- The number of non-zero cofficients of a polynomial-solved and unsolved problems / Andrzej Schinzel -- Open problems on exponential and character sums / Igor E. Shparlinski -- Errata to "a general modular relation in analytic number theory" / Haruo Tsukada -- Bibliography on determinantal expressions of relative class numbers of imaginary abelian number fields / Ken Yamamura | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author_corporate | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> |
| author_corporate_role | aut |
| author_facet | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> |
| author_sort | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| isbn | 9789814289849 9789814289924 9814289841 9814289922 |
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| spelling | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> Verfasser aut Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 editors, Takashi Aoki, Shigeru Kanemitsu, Jianya Liu Singapore World Scientific c2010 1 Online-Ressource (xvi, 252 p.) txt rdacontent c rdamedia cr rdacarrier Series on number theory and its applications v. 6 This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory - quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms - Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi-Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers. Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students Includes bibliographical references and index Recent progress on the quantitative arithmetic of del Pezzo surfaces / Tim D. Browning -- Additive representation in thin sequences, VIII : Diophantine inequalities in review / Jörg Brüdern, Koichi Kawada and Trevor D. Wooley -- Recent progress on dynamics of a special arithmetic function / Chaohua Jia -- Some Diophantine problems arising from the isomorphism problem of generic polynomials / Akinari Hoshi and Katsuya Miyake -- A statistical relation of roots of a polynomial in different local fields II / Yoshiyuki Kitaoka -- Generalized modular functions and their Fourier coefficients / Winfried Kohnen -- Functional relations for zeta-functions of root systems / Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura -- A quick introduction to Maass forms / Jianya Liu -- The number of non-zero cofficients of a polynomial-solved and unsolved problems / Andrzej Schinzel -- Open problems on exponential and character sums / Igor E. Shparlinski -- Errata to "a general modular relation in analytic number theory" / Haruo Tsukada -- Bibliography on determinantal expressions of relative class numbers of imaginary abelian number fields / Ken Yamamura MATHEMATICS / Number Theory bisacsh Number theory Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Arithmetische Geometrie (DE-588)4131383-5 s 1\p DE-604 Aoki, Takashi Sonstige oth Kanemitsu, Shigeru Sonstige oth Liu, Jianya Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340636 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 MATHEMATICS / Number Theory bisacsh Number theory Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd |
| subject_GND | (DE-588)4131383-5 (DE-588)1071861417 |
| title | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 |
| title_auth | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 |
| title_exact_search | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 |
| title_full | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 editors, Takashi Aoki, Shigeru Kanemitsu, Jianya Liu |
| title_fullStr | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 editors, Takashi Aoki, Shigeru Kanemitsu, Jianya Liu |
| title_full_unstemmed | Number theory dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 editors, Takashi Aoki, Shigeru Kanemitsu, Jianya Liu |
| title_short | Number theory |
| title_sort | number theory dreaming in dreams proceedings of the 5th china japan seminar higashi osaka japan 27 31 august 2008 |
| title_sub | dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008 |
| topic | MATHEMATICS / Number Theory bisacsh Number theory Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd |
| topic_facet | MATHEMATICS / Number Theory Number theory Congresses Arithmetische Geometrie Konferenzschrift |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340636 |
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