The Resource Frontiers in combinatorics and number theory, Volume 4, Zhi-Wie Sun, editor

Frontiers in combinatorics and number theory, Volume 4, Zhi-Wie Sun, editor

Label
Frontiers in combinatorics and number theory, Volume 4
Title
Frontiers in combinatorics and number theory
Title number
Volume 4
Statement of responsibility
Zhi-Wie Sun, editor
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
This book contains papers on topics in combinatorics (including graph theory) or number theory. The subject areas within correspond to the MSC (Mathematics Subject Classification) codes 05, 11, 20D60, and 52. Some topics included in this compilation are pseudorandom binary functions on rooted plane trees; class number one criteria for real quadratic fields with discriminant k2p2±4p; some product-to-sum identities; a zeta function for juggling sequences; divisibility properties of hypergeometric polynomials; the distance between perfect numbers; a new proof of a theorem of Hamidoune avoiding; c
Member of
Cataloging source
MiAaPQ
Dewey number
512.7
Index
index present
Language note
English
LC call number
QA164
LC item number
.F764 2013
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Sun, Zhi-Wei
Series statement
Frontiers of combinatorics and number theory
Series volume
4
http://library.link/vocab/subjectName
  • Combinatorial analysis
  • Number theory
Label
Frontiers in combinatorics and number theory, Volume 4, Zhi-Wie Sun, editor
Instantiates
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • ""FRONTIERS OF COMBINATORICS AND NUMBER THEORY. VOLUME 4""; ""FRONTIERS OF COMBINATORICS AND NUMBER THEORY. VOLUME 4""; ""LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA""; ""CONTENTS""; ""PREFACE""; ""Chapter 1: PSEUDORANDOM BINARY FUNCTIONS ON ROOTED PLANE TREES""; ""Abstract""; ""1. Introduction""; ""2. Notation, Terminology, Definitions""; ""3. The Measures of Pseudorandomness of Binary Functions on Almost Uniform Trees""; ""4. The Measures of Pseudorandomness of Binary Functions on General Trees""
  • ""5. Measures of Pseudorandomness for a Truly Random Binary Function Defined on a Given Tree""""6. Connection between the Measures of Pseudorandomness""; ""7. Finding a Binary Function with Strong Pseudorandom Properties on an Arbitrary Tree""; ""References""; ""Chapter 2: CLASS NUMBER ONE CRITERIA FOR REAL QUADRATIC FIELDS WITH DISCRIMINANT k2p2 ± 4p""; ""Abstract""; ""1. Introduction""; ""2. Preliminaries""; ""3. Class Number One Criteria for = k2p2 ± 4p""; ""References""; ""Chapter 3: SOME PRODUCT-TO-SUM IDENTITIES""; ""Abstract""; ""1. Introduction""; ""2. A Product-to-Sum Identity""
  • ""3. Proof of Theorem 1.1""""4. Proof of Theorem 1.2""; ""5. Proof of Theorem 1.3""; ""6. Final Remarks""; ""Chapter 4: A ZETA FUNCTION FOR JUGGLING SEQUENCES""; ""Abstract""; ""1. Introduction""; ""2. Background and Notation: Juggling""; ""3. Background and Notation: Zeta Functions""; ""4. A Norm on Juggling Sequences""; ""5. Zeta Functions for Ground State Juggling Sequences""; ""6. A 3-Ball Juggling Zeta Function""; ""7. A Juggling Zeta Function on b Balls""; ""8. Locating the Zeroes of the Zeta Function on b Balls""; ""9. Conclusion""; ""References""
  • ""Chapter 5: A QUADRATIC TWIST OF THE ELLIPTIC CURVE""""Abstract""; ""1. Introduction""; ""2. A Family of Twists""; ""3. The Rank of the Family""; ""4. Explicit Computation of the Rank""; ""References""; ""Chapter 6: DIVISIBILITY PROPERTIES OF HYPERGEOMETRIC POLYNOMIALS""; ""Abstract""; ""1. Introduction and Results""; ""2. Proof of Theorem 1.1 and 1.2""; ""References""; ""Chapter 7: FOR WHICH p-ADIC INTEGERS x CANXk xk â??1 BE DEFINED?""; ""Abstract""; ""1. Introduction""; ""2. Some p-Exponents of f(n)""; ""3. Results for Good Primes and 23""; ""4. 2-Primary Results""
  • ""5. Proofs Relevant to the Case p(f(c â?? 1)) = 2""""References""; ""Chapter 8: ON THE DISTANCE BETWEEN PERFECT NUMBERS""; ""Abstract""; ""1. Introduction""; ""2. A Property of the Distance between Two Perfect Numbers""; ""3. Special Values of the Distance between Two Perfect Numbers""; ""References""; ""Chapter 9: A NEW PROOF OF A THEOREM OF HAMIDOUNE AVOIDING CAYLEY GRAPHS""; ""Abstract""; ""1. Introduction""; ""2. Proof of Theorem 1.1""; ""Acknowledgments""; ""References""; ""Chapter 10: ON SOME CONJECTURES ON THE MONOTONICITY OF SOME ARITHMETICAL SEQUENCES""; ""Abstract""
  • ""1. Introduction""
Dimensions
unknown
Extent
1 online resource (100 p.)
Form of item
online
Isbn
9781628089585
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3710000000057076
  • (EBL)2193782
  • (OCoLC)868975108
  • (SSID)ssj0001158747
  • (PQKBManifestationID)11748916
  • (PQKBTitleCode)TC0001158747
  • (PQKBWorkID)11107830
  • (PQKB)11386207
  • (MiAaPQ)EBC2193782
  • (EXLCZ)993710000000057076
Label
Frontiers in combinatorics and number theory, Volume 4, Zhi-Wie Sun, editor
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • ""FRONTIERS OF COMBINATORICS AND NUMBER THEORY. VOLUME 4""; ""FRONTIERS OF COMBINATORICS AND NUMBER THEORY. VOLUME 4""; ""LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA""; ""CONTENTS""; ""PREFACE""; ""Chapter 1: PSEUDORANDOM BINARY FUNCTIONS ON ROOTED PLANE TREES""; ""Abstract""; ""1. Introduction""; ""2. Notation, Terminology, Definitions""; ""3. The Measures of Pseudorandomness of Binary Functions on Almost Uniform Trees""; ""4. The Measures of Pseudorandomness of Binary Functions on General Trees""
  • ""5. Measures of Pseudorandomness for a Truly Random Binary Function Defined on a Given Tree""""6. Connection between the Measures of Pseudorandomness""; ""7. Finding a Binary Function with Strong Pseudorandom Properties on an Arbitrary Tree""; ""References""; ""Chapter 2: CLASS NUMBER ONE CRITERIA FOR REAL QUADRATIC FIELDS WITH DISCRIMINANT k2p2 ± 4p""; ""Abstract""; ""1. Introduction""; ""2. Preliminaries""; ""3. Class Number One Criteria for = k2p2 ± 4p""; ""References""; ""Chapter 3: SOME PRODUCT-TO-SUM IDENTITIES""; ""Abstract""; ""1. Introduction""; ""2. A Product-to-Sum Identity""
  • ""3. Proof of Theorem 1.1""""4. Proof of Theorem 1.2""; ""5. Proof of Theorem 1.3""; ""6. Final Remarks""; ""Chapter 4: A ZETA FUNCTION FOR JUGGLING SEQUENCES""; ""Abstract""; ""1. Introduction""; ""2. Background and Notation: Juggling""; ""3. Background and Notation: Zeta Functions""; ""4. A Norm on Juggling Sequences""; ""5. Zeta Functions for Ground State Juggling Sequences""; ""6. A 3-Ball Juggling Zeta Function""; ""7. A Juggling Zeta Function on b Balls""; ""8. Locating the Zeroes of the Zeta Function on b Balls""; ""9. Conclusion""; ""References""
  • ""Chapter 5: A QUADRATIC TWIST OF THE ELLIPTIC CURVE""""Abstract""; ""1. Introduction""; ""2. A Family of Twists""; ""3. The Rank of the Family""; ""4. Explicit Computation of the Rank""; ""References""; ""Chapter 6: DIVISIBILITY PROPERTIES OF HYPERGEOMETRIC POLYNOMIALS""; ""Abstract""; ""1. Introduction and Results""; ""2. Proof of Theorem 1.1 and 1.2""; ""References""; ""Chapter 7: FOR WHICH p-ADIC INTEGERS x CANXk xk â??1 BE DEFINED?""; ""Abstract""; ""1. Introduction""; ""2. Some p-Exponents of f(n)""; ""3. Results for Good Primes and 23""; ""4. 2-Primary Results""
  • ""5. Proofs Relevant to the Case p(f(c â?? 1)) = 2""""References""; ""Chapter 8: ON THE DISTANCE BETWEEN PERFECT NUMBERS""; ""Abstract""; ""1. Introduction""; ""2. A Property of the Distance between Two Perfect Numbers""; ""3. Special Values of the Distance between Two Perfect Numbers""; ""References""; ""Chapter 9: A NEW PROOF OF A THEOREM OF HAMIDOUNE AVOIDING CAYLEY GRAPHS""; ""Abstract""; ""1. Introduction""; ""2. Proof of Theorem 1.1""; ""Acknowledgments""; ""References""; ""Chapter 10: ON SOME CONJECTURES ON THE MONOTONICITY OF SOME ARITHMETICAL SEQUENCES""; ""Abstract""
  • ""1. Introduction""
Dimensions
unknown
Extent
1 online resource (100 p.)
Form of item
online
Isbn
9781628089585
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3710000000057076
  • (EBL)2193782
  • (OCoLC)868975108
  • (SSID)ssj0001158747
  • (PQKBManifestationID)11748916
  • (PQKBTitleCode)TC0001158747
  • (PQKBWorkID)11107830
  • (PQKB)11386207
  • (MiAaPQ)EBC2193782
  • (EXLCZ)993710000000057076

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