Diophantine analysis and related fields: DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Melville, N.Y.
American Institute of Physics
2008
|
| Schriftenreihe: | AIP conference proceedings
976 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "This volume consists of contributions presented by participants at both the Diophantine Analysis and Related Fields 2007 (DARF 2007) conference and the upcoming Diophantine Analysis and Related Fields 2008 (DARF 2008) conference ."--Pref. Includes bibliographical references and author index |
| Beschreibung: | xiii, 211 p. ill. 24 cm |
| ISBN: | 073540495X 9780735404953 |
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| 245 | 1 | 0 | |a Diophantine analysis and related fields |b DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |c ed. Takao Komatsu |
| 264 | 1 | |a Melville, N.Y. |b American Institute of Physics |c 2008 | |
| 300 | |a xiii, 211 p. |b ill. |c 24 cm | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a AIP conference proceedings |v 976 | |
| 500 | |a "This volume consists of contributions presented by participants at both the Diophantine Analysis and Related Fields 2007 (DARF 2007) conference and the upcoming Diophantine Analysis and Related Fields 2008 (DARF 2008) conference ."--Pref. | ||
| 500 | |a Includes bibliographical references and author index | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface
...............................................................
vii
List of Participants in
2007..............................................
is
List of Contributed Speakers in
2008......................................xi
Conference Photo in
2007................................................xiii
Measure of Irrationality for Certain Infinite Series
..........................1
K.
Amano
and Y. Tachiya
Irrationality via the Hypergeometric Method
................................7
M. A. Bennett
On a Mixed Littlewood Conjecture in Fields of Power Series
.................19
Y. Bugeaud and
B. de Mathan
Inhomogeneous Diophantine Approximation of Some Hurwitzian
Numbers
..............................................................31
R. T. Bumby and M. E. Flahive
The Divided Cell Algorithm and the Inhomogeneous
Lagrange
and
Markoff Spectra
.......................................................43
R. T. Bumby and M. E. Flahive
Conjectures and Results on the Size and Number of Diophantine
Tuples
................................................................58
A. Dujella
On Series Involving Fibonacci and Lucas Numbers 1
........................62
D. Duverney and I. Shiokawa
Reciprocal Sums of Fibonacci Numbers
...................................77
C. Eisner, S. Shimomura, and I. Shiokawa
Diophantine Quadruples Containing Some Triples and the Number of
Diophantine Quintuples
.................................................90
Y. Fuj
ita
Dedekind Sums for Finite Fields
.........................................96
Y. Hamahata
Certain Integers Related to Ankeny-Artin-Chowla Conjecture
...............103
R. Hashimoto
Diophantine Approximation of the Values of Hypergeometric
Function of Gauss
.....................................................106
N.
Fiirata-Kohno and M. Huttner
Expansion of Real Numbers by Algebraic Numbers
........................
Ill
H. Kaneko
A Note on Poly-Bernoulli Numbers and Multiple
Zeta
Values
................118
M. Kaneko
A Note on Periodicity of
/»-adic
Analytic Functions
.........................125
K. Kobayashi and R. Takada
Leaping
Convergents
of Hurwitz Continued Fractions
......................130
T. Komatsu
The Irrationality Criteria of
Brun
and
Badea
Are Essentially
Equivalent
...........................................................144
V Laohakosol and K. Kuhapatanakul
On Approximation Measures of Certain (/-continued Fractions
..............160
T. Matala-aho and V.
Melila
On tbe Finiteness and Nonexistence of Certain mod
2
Galois
Representations of Quadratic Fields
.....................................169
H. Moon and Y. Taguohi
On Exponential Sums of Digital Sums Related to Gclfond s Theorem
.........176
T. Okada, Z. Kobayashi, T. Sekiguchi, and Y. Shiota
Remarkable Algebraic Independence Property of Certain Series
Related to Continued Fractions
.........................................190
T.-A. Tanaka
Recent Progress on Certain Quartic Diophantine Equations
.................205
P. G. Walsh
Author Index
.........................................................211
|
| adam_txt |
CONTENTS
Preface
.
vii
List of Participants in
2007.
is
List of Contributed Speakers in
2008.xi
Conference Photo in
2007.xiii
Measure of Irrationality for Certain Infinite Series
.1
K.
Amano
and Y. Tachiya
Irrationality via the Hypergeometric Method
.7
M. A. Bennett
On a Mixed Littlewood Conjecture in Fields of Power Series
.19
Y. Bugeaud and
B. de Mathan
Inhomogeneous Diophantine Approximation of Some Hurwitzian
Numbers
.31
R. T. Bumby and M. E. Flahive
The Divided Cell Algorithm and the Inhomogeneous
Lagrange
and
Markoff Spectra
.43
R. T. Bumby and M. E. Flahive
Conjectures and Results on the Size and Number of Diophantine
Tuples
.58
A. Dujella
On Series Involving Fibonacci and Lucas Numbers 1
.62
D. Duverney and I. Shiokawa
Reciprocal Sums of Fibonacci Numbers
.77
C. Eisner, S. Shimomura, and I. Shiokawa
Diophantine Quadruples Containing Some Triples and the Number of
Diophantine Quintuples
.90
Y. Fuj
ita
Dedekind Sums for Finite Fields
.96
Y. Hamahata
Certain Integers Related to Ankeny-Artin-Chowla Conjecture
.103
R. Hashimoto
Diophantine Approximation of the Values of Hypergeometric
Function of Gauss
.106
N.
Fiirata-Kohno and M. Huttner
Expansion of Real Numbers by Algebraic Numbers
.
Ill
H. Kaneko
A Note on Poly-Bernoulli Numbers and Multiple
Zeta
Values
.118
M. Kaneko
A Note on Periodicity of
/»-adic
Analytic Functions
.125
K. Kobayashi and R. Takada
Leaping
Convergents
of Hurwitz Continued Fractions
.130
T. Komatsu
The Irrationality Criteria of
Brun
and
Badea
Are Essentially
Equivalent
.144
V Laohakosol and K. Kuhapatanakul
On Approximation Measures of Certain (/-continued Fractions
.160
T. Matala-aho and V.
Melila
On tbe Finiteness and Nonexistence of Certain mod
2
Galois
Representations of Quadratic Fields
.169
H. Moon and Y. Taguohi
On Exponential Sums of Digital Sums Related to Gclfond's Theorem
.176
T. Okada, Z. Kobayashi, T. Sekiguchi, and Y. Shiota
Remarkable Algebraic Independence Property of Certain Series
Related to Continued Fractions
.190
T.-A. Tanaka
Recent Progress on Certain Quartic Diophantine Equations
.205
P. G. Walsh
Author Index
.211 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T21:07:50Z |
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| physical | xiii, 211 p. ill. 24 cm |
| publishDate | 2008 |
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| spelling | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 ed. Takao Komatsu Melville, N.Y. American Institute of Physics 2008 xiii, 211 p. ill. 24 cm txt rdacontent n rdamedia nc rdacarrier AIP conference proceedings 976 "This volume consists of contributions presented by participants at both the Diophantine Analysis and Related Fields 2007 (DARF 2007) conference and the upcoming Diophantine Analysis and Related Fields 2008 (DARF 2008) conference ."--Pref. Includes bibliographical references and author index Matemática (congressos) larpcal Diophantine analysis Congresses Diophantische Analysis (DE-588)4150020-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2007 Yokohama gnd-content (DE-588)1071861417 Konferenzschrift 2008 Kyoto gnd-content Diophantische Analysis (DE-588)4150020-9 s DE-604 Komatsu, Takao Sonstige oth DARF 2007 Yokohama Sonstige (DE-588)10346506-6 oth DARF 2008 Kyōto Sonstige (DE-588)10371392-X oth AIP conference proceedings 976 (DE-604)BV001899984 976 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016541027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 AIP conference proceedings Matemática (congressos) larpcal Diophantine analysis Congresses Diophantische Analysis (DE-588)4150020-9 gnd |
| subject_GND | (DE-588)4150020-9 (DE-588)1071861417 |
| title | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |
| title_auth | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |
| title_exact_search | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |
| title_exact_search_txtP | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |
| title_full | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 ed. Takao Komatsu |
| title_fullStr | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 ed. Takao Komatsu |
| title_full_unstemmed | Diophantine analysis and related fields DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 ed. Takao Komatsu |
| title_short | Diophantine analysis and related fields |
| title_sort | diophantine analysis and related fields darf 2007 2008 darf 2007 yokohama japan 7 9 march 2007 darf 2008 kyoto japan 5 7 march 2008 |
| title_sub | DARF 2007/2008 ; DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008 |
| topic | Matemática (congressos) larpcal Diophantine analysis Congresses Diophantische Analysis (DE-588)4150020-9 gnd |
| topic_facet | Matemática (congressos) Diophantine analysis Congresses Diophantische Analysis Konferenzschrift 2007 Yokohama Konferenzschrift 2008 Kyoto |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016541027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001899984 |
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