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Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016 de Melvyn B. Nathanson

Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016: Springer Proceedings in Mathematics & Statistics, cartea 220

Editat de Melvyn B. Nathanson
en Limba Engleză Hardback – 14 ian 2018
Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling. 
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Specificații

ISBN-13: 9783319680309
ISBN-10: 3319680307
Pagini: 290
Ilustrații: VIII, 310 p. 13 illus., 9 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.63 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Cham, Switzerland

Cuprins

1. ​Sukumar Das Adhikari and Shalom Eliahou, "On a conjecture of Fox and Kleitman on the degree of regularity of a certain linear equation".- 2. Béla Bajnok, \Open problems about sumsets in finite abelian groups: Minimum sizes and critical numbers".- 3. Andrew Best, Pat&rick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh and Madeleine Weinstein, "Benford behavior of generalized Zeckendorf decompositions".- 4. Andrew Best, Karen Huan, Nathan McNew, Steven J. Miller, Jasmine. Powell, Kimsy Tor, and Madeleine Weinstein, "Ramsey theory problems over the integers: Avoiding generalized progressions".- 5. Dakota Blair, "Recurrence identities of b-ary partitions".- 6. Lisa Bromberg, "Hashing with SL(2;Fp) and some applications to information security".- 7. Hannah Constantin, Ben Houston-Edwards, and Nathan Kaplan, "Numerical sets, core partitions, and integer points in polytopes".- 8. David Covert and Steven Senger, "Pairs of dot products infinite fields and rings".- 9. Charles Helou, "Characteristic, counting, and representation functions.- 10.&nbWiln>liam J. Keith, \Partitions into parts simultaneously regular, distinct, and/or flat".- 11. Mizan R. Khan and Karen M. Rogers, "An exposition of White's characterization of empty lattice tetrahedra".- 12. Urban Larsson, \A misèere-play ?-operator".- 13. Jaewoo Lee, "A new proof of Khovanski's theorem on the geometry of sumsets.- 14. >;Kieren MacMillan and Jonathan Sondow, "Initial sums of the Legendre symbol: Is min+max 0 ?".- 15. Brendan Murphy and Giorgis Petridis, "A second wave of expanders in finite fi elds".- 16. Melvyn B. Nathanson, "The Erd}os paradox".- 17. Melvyn B. Nathanson, "Limits and decomposition of de Bruijn's additive systems".- 18. Jonathan Sondow, "Extending Babbage's (non-)primality tests".- 19. Zhi-Wei Sun, "Conjectures on representations involving primes".

Notă biografică

Melvyn B. Nathanson is a Professor of Mathematics at the City University of New York.

Textul de pe ultima copertă

Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling. 

Caracteristici

Collates recent advances in combinatorial and additive number theory from distinguished mathematicians in the field Points to future areas of research All papers feature original, peer-reviewed content