Exponential sums and their applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Dordrecht u.a.
Kluwer Acad. Publ.
1992
|
| Schriftenreihe: | Mathematics and its applications / Soviet series
80 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | XV, 208 S. |
| ISBN: | 0792316479 |
Internformat
MARC
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| 100 | 1 | |a Korobov, Nikolaj M. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Trigonometričeskie summy i ich priloženija |
| 245 | 1 | 0 | |a Exponential sums and their applications |c by N. M. Korobov |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1992 | |
| 300 | |a XV, 208 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications / Soviet series |v 80 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 4 | |a Sommes exponentielles | |
| 650 | 7 | |a Sommes exponentielles |2 ram | |
| 650 | 4 | |a Sommes trigonométriques | |
| 650 | 7 | |a Sommes trigonométriques |2 ram | |
| 650 | 4 | |a Trigonometric sums | |
| 650 | 4 | |a Exponential sums | |
| 650 | 0 | 7 | |a Exponentialsumme |0 (DE-588)4201355-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Exponentialsumme |0 (DE-588)4201355-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 810 | 2 | |a Soviet series |t Mathematics and its applications |v 80 |w (DE-604)BV004708148 |9 80 | |
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Datensatz im Suchindex
| _version_ | 1804120110644854784 |
|---|---|
| adam_text | CONTENTS
SERIES EDITOR S PREFACE v
PREFACE lx
INTRODUCTION ix
CHAPTER I. COMPLETE EXPONENTIAL SUMS 1
§1. Sums of the first degree 1
§2. General properties of complete sums 7
§3. Gaussian sums 13
§4. Simplest complete sums 22
§5. Mordell s method 29
§6. Systems of congruences 34
§7. Sums with exponential function 40
§8. Distribution of digits in complete period of periodic
fractions 45
§9. Exponential sums with recurrent function 53
§10. Sums of Legendre s symbols 61
CHAPTER II. WEYL S SUMS 68
§11. Weyl s method 68
§12. Systems of equations 78
§13. Vinogradov s mean value theorem 87
§14. Estimates of Weyl s sums 97
§15. Repeated application of the mean value theorem 110
§16. Sums arising in zeta function theory 119
§17. Incomplete rational sums 126
§18. Double exponential sums 133
§19. Uniform distribution of fractional parts 139
viii Contents
CHAPTER III. FRACTIONAL PARTS DISTRIBUTION,
NORMAL NUMBERS, AND QUADRATURE
FORMULAS 139
§19. Uniform distribution of fractional parts 139
§20. Uniform distribution of functions systems and
completely uniform distribution 149
§21. Normal and conjunctly normal numbers 159
§22. Distribution of digits in period part of periodical
fractions 166
§23. Connection between exponential sums, quadrature
formulas and fractional parts distribution 176
§24. Quadrature and interpolation formulas with the
number theoretical nets 187
REFERENCES 203
SUBJECT INDEX 207
INDEX OF NAMES 209
|
| any_adam_object | 1 |
| author | Korobov, Nikolaj M. |
| author_facet | Korobov, Nikolaj M. |
| author_role | aut |
| author_sort | Korobov, Nikolaj M. |
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| building | Verbundindex |
| bvnumber | BV005920164 |
| callnumber-first | Q - Science |
| callnumber-label | QA246 |
| callnumber-raw | QA246.8.T75K6713 1992 |
| callnumber-search | QA246.8.T75K6713 1992 |
| callnumber-sort | QA 3246.8 T75 K6713 41992 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 470 |
| ctrlnum | (OCoLC)25247019 (DE-599)BVBBV005920164 |
| dewey-full | 512/.7320 512/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.73 20 512/.73 |
| dewey-search | 512/.73 20 512/.73 |
| dewey-sort | 3512 273 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005920164 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:36:53Z |
| institution | BVB |
| isbn | 0792316479 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003707176 |
| oclc_num | 25247019 |
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| physical | XV, 208 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Korobov, Nikolaj M. Verfasser aut Trigonometričeskie summy i ich priloženija Exponential sums and their applications by N. M. Korobov Dordrecht u.a. Kluwer Acad. Publ. 1992 XV, 208 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 80 Aus d. Russ. übers. Sommes exponentielles Sommes exponentielles ram Sommes trigonométriques Sommes trigonométriques ram Trigonometric sums Exponential sums Exponentialsumme (DE-588)4201355-0 gnd rswk-swf Exponentialsumme (DE-588)4201355-0 s DE-604 Soviet series Mathematics and its applications 80 (DE-604)BV004708148 80 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003707176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Korobov, Nikolaj M. Exponential sums and their applications Sommes exponentielles Sommes exponentielles ram Sommes trigonométriques Sommes trigonométriques ram Trigonometric sums Exponential sums Exponentialsumme (DE-588)4201355-0 gnd |
| subject_GND | (DE-588)4201355-0 |
| title | Exponential sums and their applications |
| title_alt | Trigonometričeskie summy i ich priloženija |
| title_auth | Exponential sums and their applications |
| title_exact_search | Exponential sums and their applications |
| title_full | Exponential sums and their applications by N. M. Korobov |
| title_fullStr | Exponential sums and their applications by N. M. Korobov |
| title_full_unstemmed | Exponential sums and their applications by N. M. Korobov |
| title_short | Exponential sums and their applications |
| title_sort | exponential sums and their applications |
| topic | Sommes exponentielles Sommes exponentielles ram Sommes trigonométriques Sommes trigonométriques ram Trigonometric sums Exponential sums Exponentialsumme (DE-588)4201355-0 gnd |
| topic_facet | Sommes exponentielles Sommes trigonométriques Trigonometric sums Exponential sums Exponentialsumme |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003707176&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
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