Combinatorial Number Theory Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011
This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annua...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | eBook Book |
| Language: | English |
| Published: |
Germany
De Gruyter
2013
De Gruyter, Inc |
| Edition: | 1 |
| Series: | De Gruyter Proceedings in Mathematics |
| Subjects: | |
| ISBN: | 9783110280616, 3110280612, 3110280485, 9783110280487 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks.
This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences. |
|---|---|
| AbstractList | This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks.
This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences. These proceedings consist of several articles based on talks given at the "Integers Conference 2011" in the area of combinatorial number theory. They present a range of important and modern research topics in the areas of number, partition, combinatorial game, Ramsey, additive number, and multiplicative number theory. The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. |
| Author | Nowakowski, Richard J. Landman, Bruce Nathanson, Melvyn Bernard Pomerance, Carl Robertson, Aaron Integers Conference (2011 : Carrollton, Georgia, USA) Nešetřil, Jaroslav |
| Author_xml | – sequence: 1 fullname: Integers Conference (2011 : Carrollton, Georgia, USA) – sequence: 2 fullname: Landman, Bruce – sequence: 3 fullname: Nathanson, Melvyn Bernard – sequence: 4 fullname: Nowakowski, Richard J. – sequence: 5 fullname: Nešetřil, Jaroslav – sequence: 6 fullname: Pomerance, Carl – sequence: 7 fullname: Robertson, Aaron |
| BackLink | https://cir.nii.ac.jp/crid/1130000794913938048$$DView record in CiNii |
| BookMark | eNplj0tPwkAQgNf4iIgcPXEhxsR4QGe72-3uURt8JEQvxOtm2m6hUrq4WyT8e4slMehkMo_MN68zclTZyhByQeGWhjS8U5FklEIgQVBxQHp7-eGf_IR0ZCgjEVABp6Tn_QcA0EYFCzukH9tFUlRYW1dgOXhdLRLjBpOZsW5zTo5zLL3p7XyXvD-OJvHzcPz29BLfj4fIQEkY5kmWIgCaJFBBggmHHAORSjBhLgxVOaeSIgKyKGOpzELOQbKM54oZxTiwLrlpB6Ofm7Wf2bL2-qs0ibVzr_e--WXXWNbGZWbqVpsm0At06T_2umWXzn6ujK_1z8jUVLXDUo8eYkoZMMEasr8jjSvN1Op2tQib84KmetVWq6LQabG128ZGIsUVZYpJ4LLBLlssRY9lg-mFrezU4XLmdUh5pIKIfQOqlH4I |
| ContentType | eBook Book |
| DBID | I4C RYH YSPEL |
| DEWEY | 510 |
| DOI | 10.1515/9783110280616 |
| DatabaseName | Casalini Torrossa eBooks Institutional Catalogue CiNii Complete Perlego |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| DocumentTitleAlternate | Proceedings of the Integers Conference 2011, Carrollton, Georgia, USA, October 26-29, 2011 |
| EISBN | 9783110280616 3110280612 |
| Edition | 1 |
| Editor | Nathanson, Melvyn B Landman, Bruce Nešetril, Jaroslav Nowakowski, Richard J |
| Editor_xml | – sequence: 1 fullname: Landman, Bruce – sequence: 2 fullname: Nathanson, Melvyn B – sequence: 3 fullname: Nešetril, Jaroslav – sequence: 4 fullname: Nowakowski, Richard J |
| ExternalDocumentID | 9783110280616 EBC1130363 653402 BB13536106 5147927 |
| Genre | Electronic books |
| GroupedDBID | -VX 089 20A 38. A4J AABBV AAUSU AAZEP ABARN ABHWV ABIAV ABONK ABQPQ ACBYE ACEOT ACISH ACJKV ACLGV ADDXO ADVEM ADVQQ AEAED AEDVL AENMB AERYV AETUO AEYCP AFHFQ AFOJC AFRFP AGLJD AIOLA AIPRK AIUUY AIXPE AJFER AKHYG ALMA_UNASSIGNED_HOLDINGS AMYDA ARPAB ARSQP AZZ BBABE BFRBX CZZ DLQEV DUGUG EBSCA ECOWB GEOUK I4C IVK IWG MYL PQQKQ QD8 XI1 YSPEL AAHDW ABMRC AGJRM AHWGJ RYH AAGUP AVGCG AHRPT |
| ID | FETCH-LOGICAL-a30980-fbdca00aeb292bab40fa26c80e5f6e19f4181aa0a37d3c8d544083d4f93e93403 |
| ISBN | 9783110280616 3110280612 3110280485 9783110280487 |
| IngestDate | Fri Nov 08 03:09:56 EST 2024 Fri Nov 21 22:14:00 EST 2025 Wed Dec 10 13:23:38 EST 2025 Tue Dec 02 18:25:28 EST 2025 Wed Aug 20 04:14:26 EDT 2025 Wed Feb 19 02:58:59 EST 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| Keywords | Integers Partition Combinatorial Game Ramsey Theory Combinatorial Number Theory Number Theory Combinatorics |
| LCCallNum_Ident | QA |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-a30980-fbdca00aeb292bab40fa26c80e5f6e19f4181aa0a37d3c8d544083d4f93e93403 |
| Notes | Includes bibliographical references and idex Other editors: Melvyn B. Nathanson, Jaroslav Nešetřil, Richard J. Nowakowski, Carl Pomerance, Aaron Robertson |
| OCLC | 858762160 |
| PQID | EBC1130363 |
| PageCount | 166 pages |
| ParticipantIDs | askewsholts_vlebooks_9783110280616 walterdegruyter_marc_9783110280616 proquest_ebookcentral_EBC1130363 perlego_books_653402 nii_cinii_1130000794913938048 casalini_monographs_5147927 |
| PublicationCentury | 2000 |
| PublicationDate | 2013 c2013 [2013] 2013-08-29 |
| PublicationDateYYYYMMDD | 2013-01-01 2013-08-29 |
| PublicationDate_xml | – year: 2013 text: 2013 |
| PublicationDecade | 2010 |
| PublicationPlace | Germany |
| PublicationPlace_xml | – name: Germany – name: Berlin – name: Berlin/Boston – name: Boston |
| PublicationSeriesTitle | De Gruyter Proceedings in Mathematics |
| PublicationYear | 2013 |
| Publisher | De Gruyter De Gruyter, Inc |
| Publisher_xml | – name: De Gruyter – name: De Gruyter, Inc |
| RestrictionsOnAccess | restricted access |
| SSID | ssj0001001635 |
| Score | 2.0010738 |
| Snippet | This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial... The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a... These proceedings consist of several articles based on talks given at the "Integers Conference 2011" in the area of combinatorial number theory. They present a... |
| SourceID | askewsholts walterdegruyter proquest perlego nii casalini |
| SourceType | Aggregation Database Publisher |
| SubjectTerms | Combinatorial Game Combinatorial Number Theory Combinatorial number theory -- Congresses Combinatorics Congresses Integers MATHEMATICS MATHEMATICS / Algebra / General MATHEMATICS / Combinatorics MATHEMATICS / Discrete Mathematics MATHEMATICS / Finite Mathematics MATHEMATICS / Number Theory MATHEMATICS / Reference MATHEMATICS / Research Number Theory Partition Ramsey Theory |
| Subtitle | Proceedings of the "Integers Conference 2011", Carrollton, Georgia, USA, October 26-29, 2011 |
| TableOfContents | Intro -- Preface -- 1 The Misère Monoid of One-Handed Alternating Games -- 1.1 Introduction -- 1.1.1 Background -- 1.2 Equivalences -- 1.3 Outcomes -- 1.4 The Misère Monoid -- 2 Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra -- 2.1 Introduction -- 2.2 The Various Notions of Size -- 2.3 The Functions fa and ha -- 2.4 Preservation of J -Sets, C-Sets, and C*-Sets -- 2.5 Preservation of Ideals -- 3 On the Differences Between Consecutive Prime Numbers, I -- 3.1 Introduction and Statement of Results -- 3.2 The Hardy-Littlewood Prime k-Tuple Conjectures -- 3.3 Inclusion-Exclusion for Consecutive Prime Numbers -- 3.4 Proof of the Theorem -- 4 On Sets of Integers Which Are Both Sum-Free and Product-Free -- 4.1 Introduction -- 4.2 The Upper Density -- 4.3 An Upper Bound for the Density in ℤ/nℤ -- 4.4 Examples With Large Density -- 5 Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems -- 5.1 Introduction -- 5.2 Counting Fields in General -- 5.2.1 Counting Torsion Elements in Class Groups -- 5.3 Davenport-Heilbronn, Delone-Faddeev, and the Main Terms -- 5.3.1 TheWork of Belabas, Bhargava, and Pomerance -- 5.4 The Four Approaches -- 5.5 The Shintani Zeta-Function Approach -- 5.5.1 Nonequidistribution in Arithmetic Progressions -- 5.6 A Refined Geometric Approach -- 5.6.1 Origin of the Secondary Term -- 5.6.2 A Correspondence for Cubic Forms -- 5.7 Equidistribution of Heegner Points -- 5.7.1 Heegner Points and Equidistribution -- 5.8 Hirzebruch Surfaces and the Maroni Invariant -- 5.9 Conclusion -- 6 Spotted Tilings and n-Color Compositions -- 6.1 Background -- 6.2 n-Color Composition Enumerations -- 6.3 Conjugable n-Color Compositions -- 7 A Class ofWythoff-Like Games -- 7.1 Introduction -- 7.2 Constant Function -- 7.2.1 A Numeration System -- 7.2.2 Strategy Tractability and Structure of the P-Positions 7.3 Superadditive Functions -- 7.4 Polynomial -- 7.5 Further Work -- 8 On the Multiplicative Order of FnC1=Fn Modulo Fm -- 8.1 Introduction -- 8.2 Preliminary Results -- 8.3 Proof of Theorem 8.1 -- 8.4 Comments and Numerical Results -- 9 Outcomes of Partizan Euclid -- 9.1 Introduction -- 9.2 Game Tree Structure -- 9.3 Reducing the Signature -- 9.3.1 Algorithm -- 9.4 Outcome Observations -- 9.5 Open Questions -- 10 Lecture Hall Partitions and theWreath Products Ck ≀ Sn -- 10.1 Introduction -- 10.2 Lecture Hall Partitions -- 10.3 Statistics on Ck ≀ Sn -- 10.4 Statistics on s-Inversion Sequences -- 10.5 From Statistics on Ck o Sn to Statistics on In,k -- 10.6 Lecture Hall Polytopes and s-Inversion Sequences -- 10.7 Lecture Hall Partitions and the Inversion Sequences In,k -- 10.8 A Lecture Hall Statistic on Ck ≀ Sn -- 10.9 Inflated Eulerian Polynomials for Ck ≀ Sn -- 10.10 Concluding Remarks Takao Komatsu, Florian Luca, Yohei Tachiya -- Pär Kurlberg, Jeffrey C. Lagarias, Carl Pomerance -- Aviezri S. Fraenkel, Yuval Tanny -- Index Neil A. McKay, Richard J. Nowakowski -- Thomas W. Pensyl, Carla D. Savage -- Preface Chapter 9: Outcomes of Partizan Euclid Neil Hindman, John H. Johnson -- Chapter 4 On Sets of Integers Which Are Both Sum-Free and Product-Free Chapter 7: A Class of Wythoff-Like Games Chapter 5: Four Perspectives on Secondary Terms in the Davenport–Heilbronn Theorems Chapter 1: The Misère Monoid of One-Handed Alternating Games - Frank Thorne -- / Chapter 3: On the Differences Between Consecutive Prime Numbers, I Chapter 2: Images of C-Sets and Related Large Sets under Nonhomogeneous Spectra Contents Rebecca Milley, Richard J. Nowakowski, Paul Ottaway -- Brian Hopkins -- Chapter 6: Spotted Tilings and n-Color Compositions Frontmatter -- Chapter 8: On the Multiplicative Order of Fn+1/Fn Modulo Fm Chapter 10: Lecture Hall Partitions and the Wreath Products Ck ≀ Sn Daniel A. Goldston, Andrew H. Ledoan -- |
| Title | Combinatorial Number Theory |
| URI | http://digital.casalini.it/9783110280616 https://cir.nii.ac.jp/crid/1130000794913938048 https://www.perlego.com/book/653402/combinatorial-number-theory-proceedings-of-the-integers-conference-2011-carrollton-georgia-usa-october-2629-2011-pdf https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=1130363 https://www.degruyterbrill.com/isbn/9783110280616 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783110280616&uid=none |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLa6AhJ9QMBAlDFkTfDUhiVxbuaNjgKCrUNiQ3uLnNiZppV0arp25TfwoznHcZqmmkA88OK2ruvj9nzJufRcCHkF9zsZSikt7qrU8ritLB5FjuUzV2YyzWye6a4lh-FoFJ2d8a-t1q8qF2Y-DvM8urnhV_-V1TAHzMbU2X9g92pTmIDnwHQYge0wbmjEq5em0MDkB5i5aESjF7xs9VEmKi614V_LqqKKDHjtuugSPMcs3jr3r4fiGt4yASFTgIoJstce9DK89vTbO3w4TmcYm91zA8vlOIGfXeHtlr1Bo8Ul-kR_3nzlojgUuTSO2gYUR9rvb1LGjtR4vsx7A_RvTuVqyWQhLicL05zbVBHofX6z7uzAxhMNZ8d7uHKm18sqcLkyg5mDahLci8JbhYKv62fU6wJno_i2FueDAbYAAW0y2CJbYQCG_J2Pw-PTL7XHDtVj5mOCUEXPL0s41fRNFVeguN-g1yEdUVyC2AKRNitQBxKFwNRXUGnyCxjvXanpWJ1PGobOg4UOmZDqvPzSa5rPyUPSxmyYR6Sl8sekc7Qq8ltsk58NwNEScLQEHH1L1-BGJxnO070KELQGBEU07PVpjYU-NUjoU8BBnxqIUQ2xvl7_hHz_MDw5-GSZVh6WYDaPbCtLZCpsW6jE5W4iEs_OhBukka38LFAOzzxQNYWwBQslSyPpYyd0Jr2MM8WZZ7OnpJ1PcvWMUJYFiYyU5yglPGknoHFHwg9VKlgkEyfskr213zqej3XYQRE3GNIlOxULYrgBlOXhixjMh5C7sMUucCVOL3B08B9fUKW5hyV0GfK5S7YNv-Jy78CHM7pdQivmxZqoCbCOh4MDRyuLDA63wdQYa9Y0D_f8L-R3yP364nhB2rPptdold9P57KKYvjS4_Q1lr6qg |
| linkProvider | ProQuest Ebooks |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Combinatorial+number+theory+%3A+proceedings+of+the+%22Integers+Conference+2011%22%2C+Carrollton%2C+Georgia%2C+USA%2C+October+26-29%2C+2011&rft.au=Integers+Conference+%282011+%3A+Carrollton%2C+Georgia%2C+USA%29&rft.au=Landman%2C+Bruce&rft.au=Nathanson%2C+Melvyn+Bernard&rft.au=Nowakowski%2C+Richard+J.&rft.date=2013-01-01&rft.pub=De+Gruyter&rft.isbn=9783110280487&rft_id=info:doi/10.1515%2F9783110280616&rft.externalDocID=BB13536106 |
| thumbnail_l | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fwww.perlego.com%2Fbooks%2FRM_Books%2Fde_gruyter_frmluoo%2F9783110280616.jpg |
| thumbnail_m | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fwww.degruyterbrill.com%2Fdocument%2Fcover%2Fisbn%2F9783110280616%2Foriginal http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97831102%2F9783110280616.jpg |