Collected Papers of Wayne L. McDaniel:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ontario
Queen's Univ.
2001
|
| Series: | Queen's papers in pure and applied mathematics
122 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 300 S. |
| ISBN: | 0889118663 |
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MARC
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| 245 | 1 | 0 | |a Collected Papers of Wayne L. McDaniel |c Wayne L. McDaniel. Ed. Paulo Ribenboim |
| 246 | 1 | 3 | |a Collected Papers |
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Record in the Search Index
| _version_ | 1811011473245208576 |
|---|---|
| adam_text |
TABLE OF CONTENTS
Preface ,,,
Autobiography v
List of Publications VI-,-
Editor's Note ^
Chapter 1. Perfect Numbers 1
L The Non-Existence of Odd Perfect Numbers of a Certain Form 5
2. On Odd Multiply-Perfect Numbers 7
3. On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime 13
4 A New Result Concerning the Structure of Odd Perfect Numbers, co-authored 15
with Peter Hagis
5. Some Results Concerning the Non-Existence of Odd Perfect Numbers of the 19
form paM2^, co-authored with Peter Hagis
6. Perfect Gaussian Integers 23
7. On the Largest Prime Divisor of an Odd Perfect Number, co-authored with Peter 31
Hagis
8. On Multiple Prime Divisors of Cyclotomic Polynomials 35
9. On the Proof that all Even Perfect Numbers are of Euclid's Type 39
10. On the Largest Prime Divisor of an Odd Perfect Number, II, co-authored with 41
Peter Hagis
11. An Analogue in Certain Unique Factorization Domains of the Euclid-Euler 45
Theorem on Perfect Numbers
Chapter 2. Powerful Numbers and Pseudoprimes 57
1. Representations of Every Integer as the Difference of Powerful Numbers 61
2. Representations Comme la Difference des Nombres Puissants non Carres 65
3. Representations of Every Integer as the Difference of Nonsquare Powerful 71
Numbers
4. The Generalized Pseudoprime Congruence a"* = 6""* (mod n) 79
5. Some Pseudoprimes and Related Numbers having Special Forms 85
6. The Existence of Solutions of the Generalized Pseudoprime Congruence 89
^^(modw)
Chapter 3. Digits: Smith and Related Numbers 103
1. The Existence of Infinitely Many £-Smith Numbers 107
2. Powerful fc-Smith Numbers 113
3. Palindromic Smith Numbers 117
4. Difference of the Digital Sums of an Integer Base b and Its Prime Factors 121
5. The Sum of Digits Function and its Application to a Generalization of the Smith 129
Number Problem, co-authored with Samuel Yates
6. On the Digit Sum of the Divisors of an Integer 143
7. On the Constancy of the Number of l's in a Binary Integer Under Factorization 147
into Prime Factors
8. On the Intersection ofthe Sets ofBase b Smith Numbers and Niven Numbers 151
9. Palindromic Niven Numbers 155
Chapter 4. Special Sequences 159
1. Triangular Numbers in the Pell Sequence 163
2. Pronic Fibonacci Numbers 167
3. Pronic Lucas Numbers 171
4. Perfect Squares in the Sequence 3,5, 7, 11, . 175
5. On the Factorization of Lucas Numbers 181
6. On Fibonacci and Pell Numbers of the Form Ax2 (Almost Every Term has a 189
4r + 1 Prime Factor)
Chapter 5. Second Order Recurrences (Lucas and Lehmer Sequences) 193
L The G.C.D. in Lucas Sequences and Lehmer Number Sequences 197
2. Square Classes of Lucas Sequences, co-authored with Paulo Ribenboim 203
3. Squares and Double-Squares in Lucas Sequences, co-authored with Paulo 209
Ribenboim
4. Square Lehmer Numbers 215
5. The Irrationality of Certain Series whose Terms are Reciprocals of Lucas 225
Sequence Terms
6. On the Greatest Integer Function and Lucas Sequences 231
7. Diophantine Representation of Lucas Sequences 235
8. The Square Terms in Lucas Sequences, co-authored with Paulo Ribenboim 241
9. The Square Classes in Lucas Sequences with Odd Parameters, co-authored with 261
Paulo Ribenboim
10. Square Classes in Lucas Sequences having Odd Parameters, co-authored with 265
Paulo Ribenboim
11. Squares in Lucas Sequences having an Even First Parameter, co-authored with 279
Paulo Ribenboim
12. On Lucas Sequences of the Form kx2, co-authored with Paulo Ribenboim 285 |
| any_adam_object | 1 |
| author | McDaniel, Wayne L. 1931- |
| author_GND | (DE-588)173546153 (DE-588)117719404 |
| author_facet | McDaniel, Wayne L. 1931- |
| author_role | aut |
| author_sort | McDaniel, Wayne L. 1931- |
| author_variant | w l m wl wlm |
| building | Verbundindex |
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| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
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| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SF 9900 SI 380 |
| ctrlnum | (OCoLC)49242748 (DE-599)BVBBV014192798 |
| dewey-full | 512/.7 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.7 510 |
| dewey-search | 512/.7 510 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014192798 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-23T18:12:08Z |
| institution | BVB |
| isbn | 0889118663 |
| language | English |
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| physical | X, 300 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | McDaniel, Wayne L. 1931- Verfasser (DE-588)173546153 aut Sammlung Collected Papers of Wayne L. McDaniel Wayne L. McDaniel. Ed. Paulo Ribenboim Collected Papers Kingston, Ontario Queen's Univ. 2001 X, 300 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 122 McDaniel, Wayne L. 1931- (DE-588)173546153 gnd rswk-swf Mathematik Mathematics Research Number theory Sequences (Mathematics) (DE-588)4143413-4 Aufsatzsammlung gnd-content McDaniel, Wayne L. 1931- (DE-588)173546153 p DE-604 Ribenboim, Paulo 1928- Sonstige (DE-588)117719404 oth Queen's papers in pure and applied mathematics 122 (DE-604)BV001889470 122 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009728063&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McDaniel, Wayne L. 1931- Collected Papers of Wayne L. McDaniel Queen's papers in pure and applied mathematics McDaniel, Wayne L. 1931- (DE-588)173546153 gnd Mathematik Mathematics Research Number theory Sequences (Mathematics) |
| subject_GND | (DE-588)173546153 (DE-588)4143413-4 |
| title | Collected Papers of Wayne L. McDaniel |
| title_alt | Collected Papers |
| title_auth | Collected Papers of Wayne L. McDaniel |
| title_exact_search | Collected Papers of Wayne L. McDaniel |
| title_full | Collected Papers of Wayne L. McDaniel Wayne L. McDaniel. Ed. Paulo Ribenboim |
| title_fullStr | Collected Papers of Wayne L. McDaniel Wayne L. McDaniel. Ed. Paulo Ribenboim |
| title_full_unstemmed | Collected Papers of Wayne L. McDaniel Wayne L. McDaniel. Ed. Paulo Ribenboim |
| title_short | Collected Papers of Wayne L. McDaniel |
| title_sort | collected papers of wayne l mcdaniel |
| topic | McDaniel, Wayne L. 1931- (DE-588)173546153 gnd Mathematik Mathematics Research Number theory Sequences (Mathematics) |
| topic_facet | McDaniel, Wayne L. 1931- Mathematik Mathematics Research Number theory Sequences (Mathematics) Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009728063&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
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