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[1] Izabella Laba.
From harmonic analysis to arithmetic combinatorics.
Bull. Amer. Math. Soc.
45
(2008)
77-115.
MR 2358378.
Abstract, references, and article information
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[2] Hao Pan and Zhi-Wei Sun.
A sharp result on $m$-covers.
Proc. Amer. Math. Soc.
135
(2007)
3515-3520.
MR 2336565.
Abstract, references, and article information
View Article: PDF
[3] Michael Filaseta, Kevin Ford, Sergei Konyagin, Carl Pomerance and Gang Yu.
Sieving by large integers and covering systems of congruences.
J. Amer. Math. Soc.
20
(2007)
495-517.
MR 2276778.
Abstract, references, and article information
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[4] Kenneth M. Monks.
The sufficiency of arithmetic progressions for the $3x+1$ Conjecture.
Proc. Amer. Math. Soc.
134
(2006)
2861-2872.
MR 2231609.
Abstract, references, and article information
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[5] Steven C. Leth.
Near arithmetic progressions in sparse sets.
Proc. Amer. Math. Soc.
134
(2006)
1579-1589.
MR 2204267.
Abstract, references, and article information
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[6] Bryna Kra.
The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view.
Bull. Amer. Math. Soc.
43
(2006)
3-23.
MR 2188173.
Abstract, references, and article information
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[7] E. Szemerédi and V. Vu.
Long arithmetic progressions in sumsets: Thresholds and bounds.
J. Amer. Math. Soc.
19
(2006)
119-169.
MR 2169044.
Abstract, references, and article information
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[8] Florian Luca and Pantelimon Stanica.
Fibonacci numbers that are not sums of two prime powers.
Proc. Amer. Math. Soc.
133
(2005)
1887-1890.
MR 2099413.
Abstract, references, and article information
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[9] Yong-Gao Chen.
Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers.
Math. Comp.
74
(2005)
1025-1031.
MR 2114663.
Abstract, references, and article information
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[10] Zhi-Wei Sun.
Unification of zero-sum problems, subset sums and covers of
${\mathbb Z}$.
Electron. Res. Announc. Amer. Math. Soc.
9
(2003)
51-60.
MR 1988872.
Abstract, references, and article information
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[11] P. D. T. A. Elliott.
Primes in short arithmetic progressions with rapidly increasing differences.
Trans. Amer. Math. Soc.
353
(2001)
2705-2724.
MR 1828469.
Abstract, references, and article information
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[12] Yong-Gao Chen.
On integers of the form $k2^{n}+1$.
Proc. Amer. Math. Soc.
129
(2001)
355-361.
MR 1800230.
Abstract, references, and article information
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[13] Yong-Gao Chen.
On integers of the form $2^k\pm p^{\alpha_1}_1p^{\alpha_2}_2\dotsb p^{\alpha_r}_r$.
Proc. Amer. Math. Soc.
128
(2000)
1613-1616.
MR 1695159.
Abstract, references, and article information
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[14] Zhi-Wei Sun.
On integers not of the form $\pm p^a\pm q^b$ .
Proc. Amer. Math. Soc.
128
(2000)
997-1002.
MR 1695111.
Abstract, references, and article information
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[15] Zhi-Wei Sun.
On covering multiplicity .
Proc. Amer. Math. Soc.
127
(1999)
1293-1300.
MR 1486752.
Abstract, references, and article information
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[16] Zhi-Wei Sun.
Covering the integers by arithmetic sequences. II .
Trans. Amer. Math. Soc.
348
(1996)
4279-4320.
MR 1360231.
Abstract, references, and article information
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[17] Ethan Lewis.
Infinite covering systems of congruences which don't exist.
Proc. Amer. Math. Soc.
124
(1996)
355-360.
MR 1301513.
Abstract, references, and article information
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[18] Jirí Matousek and Joel Spencer.
Discrepancy in arithmetic progressions.
J. Amer. Math. Soc.
9
(1996)
195-204.
MR 1311824.
Abstract, references, and article information
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[19] Melvyn B. Nathanson.
Inverse theorems for subset sums
.
Trans. Amer. Math. Soc.
347
(1995)
1409-1418.
MR 1273512.
Abstract, references, and article information
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[20] Aviezri S. Fraenkel and R. Jamie Simpson.
On infinite disjoint covering systems
.
Proc. Amer. Math. Soc.
119
(1993)
5-9.
MR 1148023.
Abstract, references, and article information
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[21] John Beebee.
Some trigonometric identities related to exact
covers
.
Proc. Amer. Math. Soc.
112
(1991)
329-338.
MR 1049133.
Abstract, references, and article information
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[22] Joseph Gerver, James Propp and Jamie Simpson.
Greedily partitioning the natural numbers into sets
free of arithmetic progressions
.
Proc. Amer. Math. Soc.
102
(1988)
765-772.
MR 929018.
Abstract, references, and article information
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[23] Kevin S. McCurley.
The least $r$-free number in an arithmetic
progression
.
Trans. Amer. Math. Soc.
293
(1986)
467-475.
MR 816304.
Abstract, references, and article information
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[24] Marc A. Berger, Alexander Felzenbaum and Aviezri S. Fraenkel.
New results for covering systems of residue sets.
Bull. Amer. Math. Soc.
14
(1986)
121-125.
MR 818066.
Abstract, references, and article information
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[25] Paul A. Pritchard.
Long arithmetic progressions of primes: some old,
some new
.
Math. Comp.
45
(1985)
263-267.
MR 790659.
Abstract, references, and article information
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[26] J. Wróblewski.
A nonaveraging set of integers with a large sum of
reciprocals
.
Math. Comp.
43
(1984)
261-262.
MR 744935.
Abstract, references, and article information
View Article: PDF
[27] Paul A. Pritchard.
Eighteen primes in arithmetic progression
.
Math. Comp.
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697.
MR 717714.
Abstract, references, and article information
View Article: PDF
[28] Lester E. Dubins.
A gloss on a theorem of Furstenberg
.
Proc. Amer. Math. Soc.
89
(1983)
421-422.
MR 715857.
Abstract, references, and article information
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