Combinatorial and Additive Number Theory II

CANT, New York, NY, USA, 2015 and 2016

Buch | Softcover

VIII, 310 Seiten

2019 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-88534-6 (ISBN)

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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.

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

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".

Erscheinungsdatum	28.01.2019
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	VIII, 310 p. 13 illus., 9 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	486 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	additive number theory • combinatorial number theory • combinatorics • cryptography • Goldbach conjecture • mathematics and computer science • Newman conjecture • Selberg class of L-functions
ISBN-10	3-319-88534-0 / 3319885340
ISBN-13	978-3-319-88534-6 / 9783319885346
Zustand	Neuware