Combinatorial and Additive Number Theory II

1. On a Conjecture of Fox and Kleitman on the Degree of Regularity of a Certain Linear Equation
Sukumar Das Adhikari, Shalom Eliahou

2. Open Problems About Sumsets in Finite Abelian Groups: Minimum Sizes and Critical Numbers
Béla Bajnok

3. Benford Behavior of Generalized Zeckendorf Decompositions
Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor, Caroline Turnage-Butterbaugh, Madeleine Weinstein

4. Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions
Andrew Best, Karen Huan, Nathan McNew, Steven J. Miller, Jasmine Powell, Kimsy Tor, Madeleine Weinstein

5. Recurrence Identities of b-ary Partitions
Dakota Blair

6. Cryptographic Hash Functions and Some Applications to Information Security
Lisa Bromberg

7. Numerical Sets, Core Partitions, and Integer Points in Polytopes
Hannah Constantin, Ben Houston-Edwards, Nathan Kaplan

8. Pairs of Dot Products in Finite Fields and Rings
David Covert, Steven Senger

9. Characteristic, Counting, and Representation Functions Characterized
Charles Helou

10. Partitions into Parts Simultaneously Regular, Distinct, And/or Flat
William J. Keith

11. White’s Theorem
Mizan R. Khan, Karen M. Rogers

12. A Misère-Play



$$star -Operator
Matthieu Dufour, Silvia Heubach, Urban Larsson

13. A New Proof of Khovanskiĭ’s Theorem on the Geometry of Sumsets
Jaewoo Lee

14. Initial Sums of the Legendre Symbol: Is



$$min + max ge 0 ?
Kieren MacMillan, Jonathan Sondow

15. A Second Wave of Expanders in Finite Fields
Brendan Murphy, Giorgis Petridis

16. Sumsets Contained in Sets of Upper Banach Density 1
Melvyn B. Nathanson

17. The Erdős Paradox
Melvyn B. Nathanson

18. Limits and Decomposition of de Bruijn’s Additive Systems
Melvyn B. Nathanson

19. Extending Babbage’s (Non-)Primality Tests
Jonathan Sondow

20. Conjectures on Representations Involving Primes
Zhi-Wei Sun

Keywords: Mathematics, Number Theory, Combinatorics, Mathematical Applications in Computer Science