-
1
-
-
84971960652
-
Linear equations in primes
-
A. BALOG - "Linear equations in primes", Mathematika 39 (1992), p. 367-378.
-
(1992)
Mathematika
, vol.39
, pp. 367-378
-
-
Balog, A.1
-
2
-
-
0030554108
-
Polynomial extensions of van der Waerden's and Szemerédi's theorems
-
V. BERGELSON & A. LEIBMAN - "Polynomial extensions of van der Waerden's and Szemerédi's theorems", J. Amer. Math. Soc. 9 (1996), p. 725-753.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 725-753
-
-
Bergelson, V.1
Leibman, A.2
-
6
-
-
2442427378
-
A sum-product estimate in finite fields, and applications
-
J. BOURGAIN, N. KATZ & T. TAO - "A sum-product estimate in finite fields, and applications", Geom. Funct. Anal. 14 (2004), p. 27-57.
-
(2004)
Geom. Funct. Anal.
, vol.14
, pp. 27-57
-
-
Bourgain, J.1
Katz, N.2
Tao, T.3
-
7
-
-
84966217524
-
The sequence of radii of the Apollonian packing
-
D. W. BOYD - "The sequence of radii of the Apollonian packing", Math. Comp. 39 (1982), p. 249-254.
-
(1982)
Math. Comp.
, vol.39
, pp. 249-254
-
-
Boyd, D.W.1
-
8
-
-
18444411371
-
On Fibonacci numbers with few prime divisors
-
Y. BUGEAUD, F. LUCA, M. MIGNOTTE & S. SIKSEK - "On Fibonacci numbers with few prime divisors", Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), p. 17-20.
-
(2005)
Proc. Japan Acad. Ser. A Math. Sci.
, vol.81
, pp. 17-20
-
-
Bugeaud, Y.1
Luca, F.2
Mignotte, M.3
Siksek, S.4
-
9
-
-
0037933477
-
Démonstration de la conjecture τ
-
L. CLOZEL - "Démonstration de la conjecture τ", Invent. Math. 151 (2003), p. 297-328.
-
(2003)
Invent. Math.
, vol.151
, pp. 297-328
-
-
Clozel, L.1
-
11
-
-
4344601598
-
The modular group action on real SL(2)-characters of a one-holed torus
-
W. M. GOLDMAN - "The modular group action on real SL(2)-characters of a one-holed torus", Geom. Topol. 7 (2003), p. 443-486.
-
(2003)
Geom. Topol.
, vol.7
, pp. 443-486
-
-
Goldman, W.M.1
-
12
-
-
66249135073
-
-
preprint, arXiv:math/0609615v1
-
D. GOLDSTON, J. GRAHAM, J. PINTZ & C. YILDRIM - "Small gaps between products of two primes", preprint, arXiv:math/0609615v1, 2006.
-
(2006)
Small Gaps between Products of Two Primes
-
-
Goldston, D.1
Graham, J.2
Pintz, J.3
Yildrim, C.4
-
13
-
-
0037691992
-
Apollonian circle packings: Number theory
-
R. L. GRAHAM, J. C. LAGARIAS, C. L. MALLOWS, A. R. WILKS & C. H. YAN -"Apollonian circle packings: number theory", J. Number Theory 100 (2003), p. 1-45.
-
(2003)
J. Number Theory
, vol.100
, pp. 1-45
-
-
Graham, R.L.1
Lagarias, J.C.2
Mallows, C.L.3
Wilks, A.R.4
Yan, C.H.5
-
14
-
-
42549149253
-
Prime number patterns
-
A. GRANVILLE - "Prime number patterns", Amer. Math. Monthly 115 (2008), p. 279-296.
-
(2008)
Amer. Math. Monthly
, vol.115
, pp. 279-296
-
-
Granville, A.1
-
15
-
-
84871115809
-
Linear equations in primes
-
to appear in arXiv:math/0606088v2
-
B. GREEN & T. TAO - "Linear equations in primes", to appear in Annals of Math., arXiv:math/0606088v2, 2006.
-
(2006)
Annals of Math.
-
-
Green, B.1
Tao, T.2
-
16
-
-
43449086031
-
The primes contain arbitrarily long arithmetic progressions
-
-, "The primes contain arbitrarily long arithmetic progressions", Ann. of Math. 167 (2008), p. 481-547.
-
(2008)
Ann. of Math.
, vol.167
, pp. 481-547
-
-
-
18
-
-
33646862107
-
Some problems of 'Partitio Numerorum.' III. on the expression of a number as a sum of primes
-
G. HARDY & J. LITTLEWOOD - "Some problems of 'Partitio Numerorum.' III. On the expression of a number as a sum of primes", Acta Math. 44 (1922), p. 1-70.
-
(1922)
Acta Math.
, vol.44
, pp. 1-70
-
-
Hardy, G.1
Littlewood, J.2
-
20
-
-
0000352123
-
Diophantische analysis und modulfunktionen
-
K. HEEGNER - "Diophantische Analysis und Modulfunktionen", Math. Z. 56 (1952), p. 227-253.
-
(1952)
Math. Z.
, vol.56
, pp. 227-253
-
-
Heegner, K.1
-
22
-
-
23444458042
-
Nonconventional ergodic averages and nilmanifolds
-
B. HOST & B. KRA - "Nonconventional ergodic averages and nilmanifolds", Ann. of Math. 161 (2005), p. 397-488.
-
(2005)
Ann. of Math.
, vol.161
, pp. 397-488
-
-
Host, B.1
Kra, B.2
-
23
-
-
0040916920
-
Primes represented by quadratic polynomials in two variables
-
H. IWANIEC - "Primes represented by quadratic polynomials in two variables", Acta Arith. 24 (1973/1974), p. 435-459.
-
(1973)
Acta Arith.
, vol.24
, pp. 435-459
-
-
Iwaniec, H.1
-
24
-
-
81555223763
-
Integral points on quadrics in three variables whose coordinates have few prime factors
-
to appear in
-
J. LIU & P. SARNAK - "Integral points on quadrics in three variables whose coordinates have few prime factors", to appear in Israel Jnl. of Math, ,http://www.math.princeton.edu/sarnak/few-final.pdf.
-
Israel Jnl. of Math
-
-
Liu, J.1
Sarnak, P.2
-
25
-
-
0002093056
-
Cayley graphs: Eigenvalues, expanders and random walks
-
London Math. Soc. Lecture Note Ser., Cambridge Univ. Press
-
A. LUBOTZKY - "Cayley graphs: eigenvalues, expanders and random walks", in Surveys in combinatorics, 1995 (Stirling), London Math. Soc. Lecture Note Ser., vol.218, Cambridge Univ. Press, p. 155-189.
-
Surveys in Combinatorics, 1995 (Stirling)
, vol.218
, pp. 155-189
-
-
Lubotzky, A.1
-
30
-
-
23444458006
-
What is an expander?
-
P. SARNAK - "What is an expander?", Notices Amer. Math. Soc. 51 (2004), p. 762-763.
-
(2004)
Notices Amer. Math. Soc.
, vol.51
, pp. 762-763
-
-
Sarnak, P.1
-
31
-
-
33746023130
-
Notes on the generalized Ramanujan conjectures
-
Clay Math. Proc., Amer. Math. Soc.
-
-, "Notes on the generalized Ramanujan conjectures", in Harmonic analysis, the trace formula, and Shimura varieties, Clay Math. Proc., vol.4, Amer. Math. Soc., 2005, p. 659-685.
-
(2005)
Harmonic Analysis, the Trace Formula, and Shimura Varieties
, vol.4
, pp. 659-685
-
-
-
32
-
-
66249118811
-
-
June
-
-, Letter to J. Lagarias, June 2007, http://www.math.princeton.edu/ sarnak/AppolonianPackings.pdf.
-
(2007)
Letter to J. Lagarias
-
-
-
33
-
-
84974005758
-
Bounds for multiplicities of automorphic representations
-
P. SARNAK & X. X. XUE - "Bounds for multiplicities of automorphic representations", Duke Math. J. 64 (1991), p. 207-227.
-
(1991)
Duke Math. J.
, vol.64
, pp. 207-227
-
-
Sarnak, P.1
Xue, X.X.2
-
34
-
-
0000579840
-
Sur certaines hypotheses concernant les nombres premiers
-
A. SCHINZEL & W. SIERPIŃSKI - "Sur certaines hypotheses concernant les nombres premiers", Acta Arith. 4 (1958), p. 185-208.
-
(1958)
Acta Arith.
, vol.4
, pp. 185-208
-
-
Schinzel, A.1
Sierpiński, W.2
-
36
-
-
66249100335
-
The primes contain arbitrary long polynomial progressions
-
to appear in
-
T. TAO & T. ZIEGLER - "The primes contain arbitrary long polynomial progressions", to appear in Acta Math., 2006.
-
(2006)
Acta Math.
-
-
Tao, T.1
Ziegler, T.2
-
37
-
-
0004281420
-
-
Cambridge Tracts in Mathematics, Cambridge University Press
-
R. C. VAUGHAN - The Hardy-Littlewood method, Cambridge Tracts in Mathematics, vol.80, Cambridge University Press, 1981.
-
(1981)
The Hardy-Littlewood Method
, vol.80
-
-
Vaughan, R.C.1
-
38
-
-
66249129147
-
The Birch and Swinnerton-Dyer conjecture
-
Clay Math. Inst., Cambridge, MA
-
A. WILES - "The Birch and Swinnerton-Dyer conjecture", in The millennium prize problems, Clay Math. Inst., Cambridge, MA, 2006, p. 31-41.
-
(2006)
The Millennium Prize Problems
, pp. 31-41
-
-
Wiles, A.1
|