Dedekind sums:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
<<The>> Mathematical Association of America
1972
|
| Schriftenreihe: | The Carus mathematical monographs
16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 102 S. |
Internformat
MARC
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a The Carus mathematical monographs |v 16 | |
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Datensatz im Suchindex
| _version_ | 1804117025498333184 |
|---|---|
| adam_text | CONTENTS
CHAPTER PAGE
1. Introduction 1
2. Some Proofs of the Reciprocity Formula 4
A. First Proof 4
B. Second Proof 8
C. Third Proof 13
Ci. First Variant 15
C2. Second Variant 18
C3. Third Variant 21
D. Fourth Proof 22
3. Arithmetic Properties of the Dedekind Sums 26
A. Elementary Properties 26
B. Farey Fractions 28
C. Connections with the Jacobi Symbol 30
D. ZolotarefFs Theorem 35
E. Lattice Points 39
4. Dedekind Sums and Modular Transformations 45
A. The //-Function and the Function $ (M) 45
B. An Application of X (M) 53
XV
XVI CONTENTS
C. The Class Invariant j/(M) 54
D. The Dedekind Sums and the Theory of Partitions 61
E. Class Number Formulae 63
5. Generalizations 64
6. Some Remarks on the History of the Dedekind Sums 66
Appendix 81
Note 1 81
Note 2 82
Note 3 85
Note 4 87
References 94
List of Theorems and Lemmas 98
Name Index 99
Subject Index 100
|
| any_adam_object | 1 |
| author | Rademacher, Hans Grosswald, Emil 1912-1989 |
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| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)514867 (DE-599)BVBBV002645409 |
| dewey-full | 512/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 |
| dewey-search | 512/.72 |
| dewey-sort | 3512 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002645409 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:50Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001697417 |
| oclc_num | 514867 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-N32 DE-29T |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-N32 DE-29T |
| physical | XVI, 102 S. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | <<The>> Mathematical Association of America |
| record_format | marc |
| series | The Carus mathematical monographs |
| series2 | The Carus mathematical monographs |
| spelling | Rademacher, Hans Verfasser aut Dedekind sums by Hans Rademacher and Emil Grosswald Washington, DC <<The>> Mathematical Association of America 1972 XVI, 102 S. txt rdacontent n rdamedia nc rdacarrier The Carus mathematical monographs 16 Dedekind, Sommes de Dedekind sums Dedekind-Summen (DE-588)4480072-1 gnd rswk-swf Dedekind-Summen (DE-588)4480072-1 s DE-604 Grosswald, Emil 1912-1989 Verfasser (DE-588)119267551 aut The Carus mathematical monographs 16 (DE-604)BV001887236 16 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rademacher, Hans Grosswald, Emil 1912-1989 Dedekind sums The Carus mathematical monographs Dedekind, Sommes de Dedekind sums Dedekind-Summen (DE-588)4480072-1 gnd |
| subject_GND | (DE-588)4480072-1 |
| title | Dedekind sums |
| title_auth | Dedekind sums |
| title_exact_search | Dedekind sums |
| title_full | Dedekind sums by Hans Rademacher and Emil Grosswald |
| title_fullStr | Dedekind sums by Hans Rademacher and Emil Grosswald |
| title_full_unstemmed | Dedekind sums by Hans Rademacher and Emil Grosswald |
| title_short | Dedekind sums |
| title_sort | dedekind sums |
| topic | Dedekind, Sommes de Dedekind sums Dedekind-Summen (DE-588)4480072-1 gnd |
| topic_facet | Dedekind, Sommes de Dedekind sums Dedekind-Summen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001697417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001887236 |
| work_keys_str_mv | AT rademacherhans dedekindsums AT grosswaldemil dedekindsums |