Lectures on sieve methods and prime number theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1983
|
| Series: | Tata Institute of Fundamental Research: Tata Institute of Fundamental Research Lectures on Mathematics and Physics / Mathematics
72 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 205 Seiten |
| ISBN: | 3540122818 0387122818 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
PREFACE
ACKNOWLEDGEMENT
NOTATION
PART I TOPICS IN SIEVE METHODS
CHAPTER I. THE A2 SIEVE
§ 1.1 Selberg s Sieve for Intervals ... 1
§ 1.2 The Hybrid Dual Sieve for Intervals ... 12
2
§ 1.3 An Auxiliary Result Relating to the A Sieve 20
§ 1.4 The Hybrid Dual Sieve for Multiplicative
Functions ... 25
NOTES (I) ... 37
CHAPTER II. ELEMENTS OF THE COMBINATORIAL SIEVE
§ 2.1 Rosser s Identity ... 43
§ 2.2 The Fundamental Lemma ... 52
§ 2.3 A Smoothed Version of Rosser s Identity ... 60
NOTES (II) ••• 65
CHAPTER III. THE LINEAR SIEVE
§ 3.1 A Difference Differential Equation ... 69
§ 3.2 The Optimal Value of p ... 77
§ 3.3 Rosser s Linear Sieve ••• 86
§ 3.4 Iwaniec s .Linear Sieve ••• 95
NOTES (III) ••• 106
PART II TOPICS IN PRIME NUMBER THEORY
CHAPTER IV. ZERO FREE REGIONS FOR ^(s) AND L(s,X)
§ 4.1 Vinogradov s Zero Free Region for £(s) ... 110
§4.2 The Deuring Heilbronn Phenomenon ... 123
§ 4.3 The Brun Titchmarsh Theorem ... 129
NOTES (IV) ... 141
CHAPTER V. ZERO DENSITY THEOREMS
§ 5.1 A Zero Density Estimate for £(s) ... 146
§ 5.2 A Zero Density Estimate of the Linnik Type... 158
NOTES (V) ... 163
CHAPTER VI. PRIMES IN SHORT INTERVALS AND SHORT
ARITHMETIC PROGRESSIONS
§ 6.1 Existence of Primes in Short Intervals ... 167
§ 6.2 Existence of Primes in Short Arithmetic
Progressions ... 183
NOTES (VI) ... 193
REFERENCES ... 198
|
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| id | DE-604.BV000435989 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:00Z |
| institution | BVB |
| isbn | 3540122818 0387122818 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000270043 |
| oclc_num | 10992504 |
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| physical | 205 Seiten |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research: Tata Institute of Fundamental Research Lectures on Mathematics and Physics / Mathematics |
| spelling | Motohashi, Yoichi 1944- Verfasser (DE-588)11030764X aut Lectures on sieve methods and prime number theory by Y. Motohashi Sieve methods and prime number theory Berlin [u.a.] Springer 1983 205 Seiten txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research: Tata Institute of Fundamental Research Lectures on Mathematics and Physics / Mathematics 72 Cribles (mathématiques) ram Nombres premiers ram Nombres, Théorie des ram Numbers, Prime Sieves (Mathematics) Primzahl (DE-588)4047263-2 gnd rswk-swf Siebmethode (DE-588)4181206-2 gnd rswk-swf Primzahltheorie (DE-588)4175715-4 gnd rswk-swf Primzahl (DE-588)4047263-2 s Siebmethode (DE-588)4181206-2 s DE-604 Primzahltheorie (DE-588)4175715-4 s Mathematics Tata Institute of Fundamental Research: Tata Institute of Fundamental Research Lectures on Mathematics and Physics 72 (DE-604)BV000015654 72 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000270043&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Motohashi, Yoichi 1944- Lectures on sieve methods and prime number theory Cribles (mathématiques) ram Nombres premiers ram Nombres, Théorie des ram Numbers, Prime Sieves (Mathematics) Primzahl (DE-588)4047263-2 gnd Siebmethode (DE-588)4181206-2 gnd Primzahltheorie (DE-588)4175715-4 gnd |
| subject_GND | (DE-588)4047263-2 (DE-588)4181206-2 (DE-588)4175715-4 |
| title | Lectures on sieve methods and prime number theory |
| title_alt | Sieve methods and prime number theory |
| title_auth | Lectures on sieve methods and prime number theory |
| title_exact_search | Lectures on sieve methods and prime number theory |
| title_full | Lectures on sieve methods and prime number theory by Y. Motohashi |
| title_fullStr | Lectures on sieve methods and prime number theory by Y. Motohashi |
| title_full_unstemmed | Lectures on sieve methods and prime number theory by Y. Motohashi |
| title_short | Lectures on sieve methods and prime number theory |
| title_sort | lectures on sieve methods and prime number theory |
| topic | Cribles (mathématiques) ram Nombres premiers ram Nombres, Théorie des ram Numbers, Prime Sieves (Mathematics) Primzahl (DE-588)4047263-2 gnd Siebmethode (DE-588)4181206-2 gnd Primzahltheorie (DE-588)4175715-4 gnd |
| topic_facet | Cribles (mathématiques) Nombres premiers Nombres, Théorie des Numbers, Prime Sieves (Mathematics) Primzahl Siebmethode Primzahltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000270043&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
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