Number theory: dreaming in dreams : proceedings of the 5th China-Japan Seminar : Higashi-Osaka, Japan 27-31 August 2008
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 direc...
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| Körperschaft: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2010
|
| Schriftenreihe: | Series on number theory and its applications
v. 6 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | xvi, 252 p. ill |
| ISBN: | 9789814289924 |
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| 520 | |a 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 | ||
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Datensatz im Suchindex
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| author_corporate | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> |
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| author_facet | China-Japan Seminar on Number Theory < 2008, Higashi-Osaka, Japan> |
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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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 Pub. Co. c2010 xvi, 252 p. ill 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 Number theory / Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content 2\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Arithmetische Geometrie (DE-588)4131383-5 s 3\p DE-604 Aoki, Takashi 1953- Sonstige oth Kanemitsu, Shigeru Sonstige oth Liu, Jianya Sonstige oth Erscheint auch als Druck-Ausgabe 9789814289849 Erscheint auch als Druck-Ausgabe 9814289841 http://www.worldscientific.com/worldscibooks/10.1142/7528#t=toc Verlag URL des Erstveroeffentlichers 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 3\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 Number theory / Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd |
| subject_GND | (DE-588)4131383-5 (DE-588)1071861417 (DE-588)4143413-4 |
| 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 | Number theory / Congresses Arithmetische Geometrie (DE-588)4131383-5 gnd |
| topic_facet | Number theory / Congresses Arithmetische Geometrie Konferenzschrift Aufsatzsammlung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7528#t=toc |
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