Transcendence methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ontario
Queen's Univ.
1979
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| Series: | Queen's papers in pure and applied mathematics
52 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | getr. Zählung |
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Record in the Search Index
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| adam_text | TRANSCENDENCE METHODS
Michel WALDSCHMIDT
Lecture 1: Preliminary results
§1.1 Liouville estimates p.1.1
§1.2 Siegel s lemma p.1.6
§1.3 Schwarz lemma p.1.10
Lecture 2: Gelfond s method
§2.1 Gel fond s solution of Hilbert s seventh problem _ p.2.1
§2.2 Schneider Lang s criterion p.2.7
Lecture 3: Schneider s method
§3.1 Schneider s solution of Hilbert s seventh problem p.3.1
§3.2 Consequences of Schneider s method p.3,5
§3.3 On the product of the conjugates outside the unit
circle of an algebraic integer. p. 3.8
Lecture 4: Baker s method
§4.1 The results (qualitative form) p.4.1
§4.2 Sketch of the proof p.4.2
§4.3 The proof p.4. 5
§4.4 Conclusion of the proof p.4.8
§4.5 Further results and comments a p.4.11
Lecture 5: Kummer s theory
§5.1 An alternative method for the last step p. 5.2
§5.2 A second proof of Baker s theorem p.5.3
§5.3 Final descent p. 5.8
§5^.4 Lower bounds for linear forms in logarithms p.5.10
Lecture 6: Linear independence of elliptic logarithms
§6.1 The results (qualitative form) p. 6.1
§6.2 The lemma of Baker Coates Anderson p. 6.3
§6.3 The main lemma p. 6.7
§6.4 Bashmakov s theorem p.6.12
§6.5 Further results and comments p.6.13
Lecture 7: Transcendence and linear independence of periods.
§7.1 Historical survey p. 7.1
§7.2 Elliptic integrals of the third kind p. 7.6
§7.3 Further results and comments p.7.11
Lecture 8: Algebraic independence of periods
§8.1 Choodnovsky s results p. 8.1
§8.2 Gel1fond s transcendence criterion p.8.5
§8.3 Zeroes of polynomials in z,$J(z), C(z) p.8.6
§8.4 Proof of Choodnovsky s theorem p.8.11
§8.5 Further results and comments p.8.15
Lecture 9: Schneider s method in several variables
§9.1 Polynomials in several variables p. 9.2
§9.2 A Schwarz lemma in several variables p. 9. 5
§9.3 A new proof of Baker s theorem in the real case p.9.9
§9.4 Generalized Dirichlet exponent p.9.12
Lecture 10: Gel fond s method in several variables
§10.1 Singularities of algebraic hypersurfaces and L
estimates p.10.1
§10.2 Bombieri s theorem p.10.4
§10.3 Further results and comments p.10.7
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| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.73 510 |
| dewey-search | 512/.73 510 |
| dewey-sort | 3512 273 |
| dewey-tens | 510 - Mathematics |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:40:18Z |
| institution | BVB |
| language | English |
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| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Waldschmidt, Michel 1946- Verfasser (DE-588)1022267817 aut Transcendence methods by Michel Waldschmidt Kingston, Ontario Queen's Univ. 1979 getr. Zählung txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 52 Algebraic number theory Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd rswk-swf Transzendente Zahl (DE-588)4225034-1 s DE-604 Queen's papers in pure and applied mathematics 52 (DE-604)BV001889470 52 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003853848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Waldschmidt, Michel 1946- Transcendence methods Queen's papers in pure and applied mathematics Algebraic number theory Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd |
| subject_GND | (DE-588)4225034-1 |
| title | Transcendence methods |
| title_auth | Transcendence methods |
| title_exact_search | Transcendence methods |
| title_full | Transcendence methods by Michel Waldschmidt |
| title_fullStr | Transcendence methods by Michel Waldschmidt |
| title_full_unstemmed | Transcendence methods by Michel Waldschmidt |
| title_short | Transcendence methods |
| title_sort | transcendence methods |
| topic | Algebraic number theory Transcendental numbers Transzendente Zahl (DE-588)4225034-1 gnd |
| topic_facet | Algebraic number theory Transcendental numbers Transzendente Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003853848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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