On the correlation of multiplicative and the sum of additive arithmetic functions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1994
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
538 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Elliott, Peter D. T. A. |d 1941- |e Verfasser |0 (DE-588)110705041 |4 aut | |
| 245 | 1 | 0 | |a On the correlation of multiplicative and the sum of additive arithmetic functions |c P. D. T. A. Elliott |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1994 | |
| 300 | |a VII, 88 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 538 | |
| 500 | |a Volume 112, Number 538 (second of 4 numbers) | ||
| 650 | 7 | |a Aritmetische functies |2 gtt | |
| 650 | 7 | |a Getaltheorie |2 gtt | |
| 650 | 7 | |a Teoria Dos Numeros |2 larpcal | |
| 650 | 4 | |a Arithmetic functions | |
| 650 | 4 | |a Number theory | |
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Datensatz im Suchindex
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|---|---|
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| DE-BY-TUM_media_number | 040010666876 |
| _version_ | 1816711707618181121 |
| adam_text | Contents
Introduction vii
1. Correlations of Multiplicative Functions 1
1.1 Conjectures and Results 1
1.2 Applications of Theorem 1.1 9
2. The Method of the Stable Dual (1): Deriving the Approximate Functional
Equations 16
2.1 Background Philosophy 16
2.2 Operator Norm Inequalities 17
2.3 Deriving the Approximate Functional Equations 18
3. The Method of the Stable Dual (2): Solving the Approximate Functional
Equations 22
4. Orthogonality of Operators and the Present Application of the Method to
the Study of Correlations 39
5. Correlations: Main Lemma in the Proof of Theorem 1.1 43
6. Correlations: Auxiliary Lemmas for the Proof of Theorem 1.1 46
7. Correlations: An Approximate Functional Equation and Its Solution 53
8. Correlations: Proof of the Main Lemma (completion) 5!)
9. Correlations: Proof of Theorem 1.1 62
10. Sums of Additive Functions 66
10.1 Limits of Frequencies 66
10.2 Auxiliary Results 72
10.3 Proof of Theorem 10.1, Beginning 74
10.4 Proof of Theorem 10.1, Continued 77
10.5 Proof of Theorem 10.1, Necessity 80
10.6 Proof of Theorem 10.1, Sufficiency SI
11. Afterwords: Further Possibilities 82
References 84
|
| any_adam_object | 1 |
| author | Elliott, Peter D. T. A. 1941- |
| author_GND | (DE-588)110705041 |
| author_facet | Elliott, Peter D. T. A. 1941- |
| author_role | aut |
| author_sort | Elliott, Peter D. T. A. 1941- |
| author_variant | p d t a e pdta pdtae |
| building | Verbundindex |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.73 |
| dewey-search | 510 512/.73 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010006637 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:14:19Z |
| institution | BVB |
| isbn | 0821825984 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006634066 |
| oclc_num | 30738862 |
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| physical | VII, 88 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Elliott, Peter D. T. A. 1941- On the correlation of multiplicative and the sum of additive arithmetic functions American Mathematical Society: Memoirs of the American Mathematical Society Aritmetische functies gtt Getaltheorie gtt Teoria Dos Numeros larpcal Arithmetic functions Number theory Korrelation (DE-588)4165343-9 gnd Additive Funktion (DE-588)4141383-0 gnd Arithmetische Funktion (DE-588)4368429-4 gnd Multiplikative Funktion (DE-588)4324235-2 gnd Summe (DE-588)4193845-8 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4165343-9 (DE-588)4141383-0 (DE-588)4368429-4 (DE-588)4324235-2 (DE-588)4193845-8 (DE-588)4067277-3 |
| title | On the correlation of multiplicative and the sum of additive arithmetic functions |
| title_auth | On the correlation of multiplicative and the sum of additive arithmetic functions |
| title_exact_search | On the correlation of multiplicative and the sum of additive arithmetic functions |
| title_full | On the correlation of multiplicative and the sum of additive arithmetic functions P. D. T. A. Elliott |
| title_fullStr | On the correlation of multiplicative and the sum of additive arithmetic functions P. D. T. A. Elliott |
| title_full_unstemmed | On the correlation of multiplicative and the sum of additive arithmetic functions P. D. T. A. Elliott |
| title_short | On the correlation of multiplicative and the sum of additive arithmetic functions |
| title_sort | on the correlation of multiplicative and the sum of additive arithmetic functions |
| topic | Aritmetische functies gtt Getaltheorie gtt Teoria Dos Numeros larpcal Arithmetic functions Number theory Korrelation (DE-588)4165343-9 gnd Additive Funktion (DE-588)4141383-0 gnd Arithmetische Funktion (DE-588)4368429-4 gnd Multiplikative Funktion (DE-588)4324235-2 gnd Summe (DE-588)4193845-8 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Aritmetische functies Getaltheorie Teoria Dos Numeros Arithmetic functions Number theory Korrelation Additive Funktion Arithmetische Funktion Multiplikative Funktion Summe Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006634066&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT elliottpeterdta onthecorrelationofmultiplicativeandthesumofadditivearithmeticfunctions |