Selected papers by Øystein J. Rødseth:
- Dissections of the generating functions of q(n) and
q0(n),
Univ. Bergen Årb. naturv. serie 1969, No 12, 1-12.
pdf
- Congruence properties of the partition functions q(n)
and q0(n),
Univ. Bergen Årb. naturv. serie 1969,
No 13, 1-27. pdf
- Some arithmetical properties of m-ary partitions, Proc. Camb.
Phil. Soc. 68 (1970), 447-453.
- On a linear Diophantine problem of Frobenius, J. reine angew.
Math. 301 (1978), 171-178.
- On a linear Diophantine problem of Frobenius. II, J. reine
angew. Math. 307/308 (1979), 431-440.
- On h-bases for n,
Math. Scand. 48 (1981), 165-183.
- On h-bases for n II,
Math. Scand. 51 (1982), 5-21.
- Two remarks on linear forms in non-negative integers,
Math. Scand. 51 (1982), 193-198.
- An upper bound for the h-range of the postage stamp problem,
Acta Arith. 54 (1990), 301-306.
- Integer Factorization, Mainzer Seminarberichte 3
(1993), 69-83. pdf
- Sums of distinct residues mod p, Acta Arith.
65 (1993), 181-184.
- A note on Brown and Shiue's paper on a remark related to the
Frobenius problem, Fibonacci Quarterly 32 (1994), 407-408.
pdf
- A note on primality tests for N = h ·2n - 1,
BIT 34 (1994), 451-454. pdf
- Weighted multi-connected loop networks, Discrete
Math. 148 (1996), 161-173. pdf
- On the addition of residue classes mod p,
Mh. Math. 121 (1996), 139-143.
- On bases for
-finite groups (with Y. O. Hamidoune),
Math. Scand. 78 (1996), 246-254.
- Progression bases for finite cyclic groups, in:
D. V. Chudnovsky, G. V. Chudnovsky, M. B. Nathanson (eds.), ``Number
Theory, New York Seminar 1991-1995'', Springer-Verlag, New York 1996,
269-279. pdf
- The primality of 2h ·3n-1, Preprint 1998.
pdf
- An inverse theorem mod p (with Y. O. Hamidoune), Acta
Arith. 92 (2000), 251-262.
- Loop Networks, Mainzer Seminarberichte 4 (2000),
21-33.
- On m-ary Partition Function Congruences: A Fresh Look at a
Past Problem (with J. A. Sellers), J. Number Theory 87
(2001), 270-281. pdf
- On the primality of 2h ·3n+1 (with C. Kirfel),
Discrete Math. 241 (2001), 395-406.
- Binary Partitions Revisited (with J. A. Sellers),
J. Comb. Theory A 98 (2002), 33-45.
pdf
- Arithmetic Properties of Non-Squashing Partitions into
Distinct Parts (with J. A. Sellers and K. M. Courtright),
Ann. Comb. 8(3) (2004), 347-353.
pdf
- On m-Ary Overpartitions (with J. A. Sellers),
Ann. Comb. 9 No. 3 (2005), 345-353.
pdf
- On a Restricted m-Non-Squashing Partition Function (with
J. A. Sellers),
J. Integer Seq. 8 (2005), no. 5,
Article 05.5.4, 13 pp.
- Improving Calculations of the Number of Distinct
Alignments of Two Strings (with J. A. Sellers), J.
Quantitative Linguistics 13 No.1 (2006), 45-55. pdf
- Enumeration of M-partitions, Discrete Math.
306 No.7 (2006), 694-698. pdf
- Sloane's Box Stacking Problem, Discrete Math.
306 No.16 (2006), 2005-2009. pdf
- Partitions with Parts in a Finite Set (with J. A.
Sellers), International J. Number Theory 2 No.3
(2006), 455-468. pdf
- Sumsets
mod p, Skr. K. Nor. Vidensk. Selsk. (Trans. R. Norw. Soc. Sci. Lett.)
2006 (4), 1-10. pdf
- On Freiman's 2.4-theorem, Skr. K. Nor. Vidensk. Selsk. (Trans. R. Norw. Soc. Sci. Lett.) 2006 (4), 11-18. pdf
- Minimal r-Complete Partitions,
J. Integer Seq. 10 (2007), no. 8,
Article 07.8.3, 7 pp.
- Distribution of points on the circle, J. Number Theory 127 (2007), 127-135. pdf
- Addendum to "Distribution of points on the circle", J. Number Theory 128 (2008), 1889-1892. pdf
- Enumeration of the degree sequences of non-separable graphs and connected graphs (with J. A. Sellers and H. Tverberg), European J. Comb., 30(5) (2009), 1309--1317. pdf
- Congruences modulo high powers of 2 for Sloane's box stacking function (with J. A. Sellers), Australasian J. Comb. 44 (2009), 255--263. pdf
- Numerical semigroups: Apéry sets and Hilbert series (with
J. L. Ramírez Alfonsín), Semigroup
Forum, 79(2) (2009), 323--340. pdf
- Infinite families of divisibility properties modulo 4 for
non-squashing partitions into distinct parts (with M. D. Hirschhorn
and J. A. Sellers),
INTEGERS: Electronic
J. Comb. Number Theory 9 (2009)(4), 427--433.
- Exponential sums and distinct points on arcs, In: Additive Number Theory:
Festschrift In Honor of the Sixtieth Birthday of Melvyn
B. Nathanson, D. Chudnovsky and G. Chudnovsky (eds.), Springer
(2010), 319--330. arXiv.org/abs/0812.4653
Last updated October 29, 2010
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