| Publications |
Current Preprints (see also
here) :
1. Why should one expect to find long runs of (non)-Ramanujan primes ? January 21. PDF
N.B.: This is purely a discussion paper, I do not intend to submit it to a journal. I was asked to make it available, in order to hopefully stimulate further investigation of Ramanujan primes.
2. On m-covering families of Beatty sequences with irrational moduli.
August 11. PDF
Published Papers (see also
here) :
3. A Cauchy-Davenport type result for arbitrary regular graphs,
Integers 11 (2011), 227-235.
PDF
4. (with Urban Larsson and Aviezri Fraenkel) Invariant and dual subtraction games resolving the Duchene-Rigo conjecture, Theoret. Comput. Sci. 412 (2011), 729-735. PDF
5. The postage stamp problem and essential subsets in integer bases, in: David and Gregory Chudnovsky (eds.), Additive Number Theory : Festschrift in Honor of the Sixtieth Birthday of Melvyn B. Nathanson , pp. 153-170. Springer-Verlag, New York (Sep. 1, 2010).
PDF
6. (with Peter Dukes and Sarada Herke) On the possible orders of a basis for a finite cyclic group. Electron. J. Combin. 17 (2010), no.1, Paper R79 (10pp). PDF
7. (with Desmond MacHale) Minimal odd order automorphism
groups. J. Group Theory 13 (2010), no.2, 243-256.
PDF.
8. Urban Larsson, Two-pile Nim with a restricted number of move-size imitations
(with an appendix by Peter Hegarty). Integers 9 (2009),
671-690. PDF.
9. Answers to two questions posed by Farhi concerning additive bases.
J. Number Theory 129 (2009), no.12, 3052-3058.
PDF
10. (with Steven J. Miller) When almost all sets are difference dominated.
Random Structures and Algorithms 35 (2009), no.1, 118-136.
PDF.
11. Essentialities in additive bases. Proc. Amer. Math. Soc. 137
(2009), no.5, 1657-1661.
PDF
12. Finite groups with an automorphism cubing a large fraction of
elements. Math. Proc. R. Ir. Acad. (Series A) 109 (2009), no.1,
79-99.
PDF.
13. The inverse problem for representation functions for general linear forms.
Integers 8 (2008), Paper A16, 17pp. (electronic)
PDF
14. Some explicit constructions of sets with more sums than differences.
Acta Arithmetica 130 (2007), no.1, 61-77. PDF.
15. Extremal subsets of {1,...,n} avoiding solutions to linear equations in
three variables. Electron. J. Combin. 14 (2007), Paper R74, 22pp.
(electronic) PDF
16. An improved upper bound on the maximum size of k-primitive sets. Integers 6 (2006), Paper A28, 5pp. (electronic) PDF
17. (with Urban Larsson) Permutations of the natural numbers with prescribed difference multisets. Integers 6 (2006), Paper A3, 25pp.
(electronic)
PDF
18. Soluble groups with an automorphism inverting many elements. Math. Proc. R. Ir. Acad. 105A (2005), no.1, 59-73. PDF
19. (with Andreas Baltz, Urban Larsson, Jonas Knape and Tomasz Schoen) The structure of maximum subsets of {1,...,n} with no solutions to a+b=kc. Electron. J. Combin. 12 (2005), Paper No. 19, 16pp. (electronic) PDF
20. A variant of the discrete isoperimetric problem. Ars Combin. 73 (2004), 263-274. PDF
21. Permutations avoiding arithmetic patterns. Electron. J. Combin. 11 (2004), no.1, Paper 39, 21pp. (electronic) PDF
22. On a conjecture of Zimmerman about group automorphisms. Arch. Math. (Basel) 80 (2003), no.1, 1-11. PDF
23. (with Desmond MacHale) Two-groups in which an automorphism inverts precisely half the elements. Bull. London Math. Soc. 30 (1998), no.2, 129-135. PDF
24. Autocommutator subgroups of finite groups. J. Algebra 190 (1997), no.2, 556-562.
25. Writing commutators of group commutators as products of cubes. Irish Math. Soc. Bull. 37 (1996), 25-29.
26. Automorphism groups of order p^2 q^2. Math. Proc. R. Ir. Acad. 95A (1995), no.2, 149-152.
27. Minimal abelian automorphism groups of finite groups. Rend. Sem. Mat. Univ. Padova 94 (1995), 121-135.
28. (with Desmond MacHale) Products of group commutators. Irish Math. Soc. Bull. 34 (1995), 14-21.
29. The absolute centre of a group. J. Algebra 169 (1994), no.3, 929-935.
30. Eisenstein Series for Orthogonal Groups. Ph.D. thesis, Princeton University, October 1998.
31. Finite Automorphism Groups of Groups, M.Sc. thesis, National University of Ireland, August 1994.
| Links |
| Home |
Last modified: Sat Jan 21 13:20:00 CET 2012