On the correlation of multiplicative and the sum of additive arithmetic functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1994
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
538 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 112, Number 538 (second of 4 numbers) |
| Physical Description: | VII, 88 S. |
| ISBN: | 0821825984 |
Staff View
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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 | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 538 | |
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| 650 | 7 | |a Getaltheorie |2 gtt | |
| 650 | 7 | |a Teoria Dos Numeros |2 larpcal | |
| 650 | 4 | |a Arithmetic functions | |
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Record in the Search Index
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| 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 |
| bvnumber | BV010006637 |
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| dewey-full | 510 512/.73 |
| 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 | 2024-07-09T17:44:49Z |
| 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 |
| spelling | Elliott, Peter D. T. A. 1941- Verfasser (DE-588)110705041 aut On the correlation of multiplicative and the sum of additive arithmetic functions P. D. T. A. Elliott Providence, RI American Math. Soc. 1994 VII, 88 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 538 Volume 112, Number 538 (second of 4 numbers) Aritmetische functies gtt Getaltheorie gtt Teoria Dos Numeros larpcal Arithmetic functions Number theory Korrelation (DE-588)4165343-9 gnd rswk-swf Additive Funktion (DE-588)4141383-0 gnd rswk-swf Arithmetische Funktion (DE-588)4368429-4 gnd rswk-swf Multiplikative Funktion (DE-588)4324235-2 gnd rswk-swf Summe (DE-588)4193845-8 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Arithmetische Funktion (DE-588)4368429-4 s DE-604 Additive Funktion (DE-588)4141383-0 s Summe (DE-588)4193845-8 s Multiplikative Funktion (DE-588)4324235-2 s Korrelation (DE-588)4165343-9 s American Mathematical Society: Memoirs of the American Mathematical Society 538 (DE-604)BV008000141 538 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |