-
1
-
-
0000239227
-
Exponential sums formed with the Möbius function
-
R. C. BAKER and G. HARMAN, Exponential sums formed with the Möbius function, J. London Math. Soc. 43 (1991), 193-198.
-
(1991)
J. London Math. Soc.
, vol.43
, pp. 193-198
-
-
Baker, R.C.1
Harman, G.2
-
2
-
-
0040207816
-
The prime k-tuplets conjecture on average
-
Progr. Math Birkhäuser
-
A. BALOG, The prime k-tuplets conjecture on average, in Analytic Number Theory (Allerton Park, IL, 1989), Progr. Math. 85, Birkhäuser, 1990, pp. 47-75.
-
(1990)
Analytic Number Theory (Allerton Park, IL, 1989)
, pp. 85-75
-
-
Balog, A.1
-
3
-
-
84971960652
-
Linear equations in primes
-
A. BALOG, Linear equations in primes, Mathematika 39 (1992), 367-378.
-
(1992)
Mathematika
, vol.39
, pp. 367-378
-
-
Balog, A.1
-
5
-
-
17444412724
-
Multiple recurrence and nilsequences
-
With an appendix by Imre Ruzsa
-
V. BERGELSON, B. HOST, and B. KRA, Multiple recurrence and nilsequences, Invent. Math. 160 (2005), 261-303, With an appendix by Imre Ruzsa.
-
(2005)
Invent. Math.
, vol.160
, pp. 261-303
-
-
Bergelson, V.1
Host, B.2
Kra, B.3
-
8
-
-
0003703311
-
-
Part I. Basic Theory and Examples, Cambridge Studies in Advanced Mathematics, Cambridge Univ. Press, Cambridge
-
L. J. CORWIN and F. P. GREENLEAF, Representations of Nilpotent Lie Groups and Their Applications. Part I. Basic Theory and Examples, Cambridge Studies in Advanced Mathematics 18, Cambridge Univ. Press, Cambridge, 1990.
-
(1990)
Representations of Nilpotent Lie Groups and Their Applications.
, pp. 18
-
-
Corwin, L.J.1
Greenleaf, F.P.2
-
9
-
-
0001548676
-
On some infinite series involving arithmetical functions. II
-
H. DAVENPORT, On some infinite series involving arithmetical functions. II, Quart. J. Math. Oxford 8 (1937), 313-320.
-
(1937)
Quart. J. Math. Oxford
, vol.8
, pp. 313-320
-
-
Davenport, H.1
-
10
-
-
0003647258
-
Multiplicative Number Theory
-
third ed., Graduate Texts in Mathematics Springer-Verlag, New York Revised and with a preface by Hugh Montgomery
-
H. DAVENPORT, Multiplicative Number Theory, third ed., Graduate Texts in Mathematics 74, Springer-Verlag, New York, 2000, Revised and with a preface by Hugh Montgomery.
-
(2000)
, pp. 74
-
-
Davenport, H.1
-
11
-
-
0001034847
-
A new extension of Dirichlet's theorem on prime numbers
-
L. E. DICKSON, A new extension of Dirichlet's theorem on prime numbers, Messenger of Math. 33 (1904), 155-161.
-
(1904)
Messenger of Math
, vol.33
, pp. 155-161
-
-
Dickson, L.E.1
-
12
-
-
0002602202
-
Nonconventional ergodic averages
-
Amer. Math. Soc., Providence, RI
-
H. FURSTENBERG, Nonconventional ergodic averages, in The Legacy of John von Neumann (Hempstead, NY, 1988), Proc. Sympos. Pure Math. 50, Amer. Math. Soc., Providence, RI, 1990, pp. 43-56.
-
(1990)
The Legacy of John von Neumann (Hempstead, NY, 1988), Proc. Sympos. Pure Math
, vol.50
, pp. 43-56
-
-
Furstenberg, H.1
-
13
-
-
84868978963
-
Turbulent years: Erdõs in his correspondence with Turán from 1934 to 1940
-
János Bolyai Math. Soc., Budapest
-
H. FURSTENBERG, Turbulent years: Erdõs in his correspondence with Turán from 1934 to 1940, in Paul Erdõs and his Mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud. 11, János Bolyai Math. Soc., Budapest, 2002, pp. 85-146.
-
(2002)
Paul Erdõs and his Mathematics, I (Budapest, 1999), Bolyai Soc. Math. Stud
, vol.11
, pp. 85-146
-
-
Furstenberg, H.1
-
18
-
-
44649130283
-
Higher correlations of divisor sums related to primes. III. Small gaps between primes
-
D. A. GOLDSTON and C. Y. YILDIRIM, Higher correlations of divisor sums related to primes. III. Small gaps between primes, Proc. Lond. Math. Soc. 95 (2007), 653-686.
-
(2007)
Proc. Lond. Math. Soc.
, vol.95
, pp. 653-686
-
-
Goldston, D.A.1
Yildirim, C.Y.2
-
19
-
-
0035618488
-
A new proof of Szemerédi's theorem
-
W. T. GOWERS, A new proof of Szemerédi's theorem, Geom. Funct. Anal. 11 (2001), 465-588.
-
(2001)
Geom. Funct. Anal.
, vol.11
, pp. 465-588
-
-
Gowers, W.T.1
-
20
-
-
30444444051
-
Roth's theorem in the primes
-
B. GREEN, Roth's theorem in the primes, Ann. of Math. 161 (2005), 1609-1636.
-
(2005)
Ann. of Math.
, vol.161
, pp. 1609-1636
-
-
Green, B.1
-
21
-
-
77957705402
-
Generalising the Hardy-Littlewood method for primes
-
Eur. Math. Soc., Zürich
-
B. GREEN, Generalising the Hardy-Littlewood method for primes, in International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 373-399.
-
(2006)
International Congress of Mathematicians
, vol.2
, pp. 373-399
-
-
Green, B.1
-
22
-
-
85009959882
-
Restriction theory of the Selberg sieve with applications
-
B. GREEN and T. TAO, Restriction theory of the Selberg sieve, with applications, J. Théor. Nombres Bordeaux 18 (2006), 147-182.
-
(2006)
J. Théor. Nombres Bordeaux
, vol.18
, pp. 147-182
-
-
Green, B.1
Tao, T.2
-
24
-
-
43449086031
-
The primes contain arbitrarily long arithmetic progressions
-
B. GREEN and T. TAO, The primes contain arbitrarily long arithmetic progressions, Ann. of Math. 167 (2008), 481-547.
-
(2008)
Ann. of Math.
, vol.167
, pp. 481-547
-
-
Green, B.1
Tao, T.2
-
25
-
-
57049187186
-
Quadratic uniformity of the Möbius function
-
B. GREEN and T. TAO, Quadratic uniformity of the Möbius function, Ann. Inst. Fourier (Grenoble) 58 (2008), 1863-1935.
-
(2008)
Ann. Inst. Fourier (Grenoble)
, vol.58
, pp. 1863-1935
-
-
Green, B.1
Tao, T.2
-
26
-
-
33646862107
-
Some problems of 'Partitio numerorum'; III: On the expression of a number as a sum of primes
-
G. H. HARDY and J. E. LITTLEWOOD, Some problems of 'Partitio numerorum'; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), 1-70.
-
(1923)
Acta Math
, vol.44
, pp. 1-70
-
-
Hardy, G.H.1
Littlewood, J.E.2
-
28
-
-
33646378441
-
The parity problem for reducible cubic forms
-
H. A. HELFGOTT, The parity problem for reducible cubic forms, J. London Math. Soc. 73 (2006), 415-435.
-
(2006)
J. London Math. Soc.
, vol.73
, pp. 415-435
-
-
Helfgott, H.A.1
-
29
-
-
33947211887
-
Progressions arithmétiques dans les nombres premiers (d'aprés B. Green and T. Tao). (French) [Arithmetical progressions in the primes (after B. Green and T. Tao)]
-
B. HOST, Progressions arithmétiques dans les nombres premiers (d'aprés B. Green and T. Tao). (French) [Arithmetical progressions in the primes (after B. Green and T. Tao)], in Séminaire Bourbaki, Astérisque 307, 2006, pp. 229-246.
-
(2006)
Séminaire Bourbaki, Astérisque
, vol.307
, pp. 229-246
-
-
Host, B.1
-
30
-
-
23444458042
-
Nonconventional ergodic averages and nilmanifolds
-
B. HOST and B. KRA, Nonconventional ergodic averages and nilmanifolds, Ann. of Math. 161 (2005), 397-488.
-
(2005)
Ann. of Math.
, vol.161
, pp. 397-488
-
-
Host, B.1
Kra, B.2
-
31
-
-
77957703038
-
Additive Theory of Prime Numbers Translations of Math. Monogr
-
L. K. HUA, Additive Theory of Prime Numbers, Translations of Math. Monogr. 13, Amer. Math. Soc., Providence, R.I., 1965.
-
(1965)
Amer. Math. Soc., Providence, R.I.
, vol.13
-
-
Hua, L.K.1
-
32
-
-
12444323815
-
Analytic Number Theory Amer. Math. Soc. Colloq. Publ
-
H. IWANIEC and E. KOWALSKI, Analytic Number Theory, Amer. Math. Soc. Colloq. Publ. 53, Amer. Math. Soc., Providence, RI, 2004.
-
(2004)
Amer. Math. Soc., Providence, RI
, vol.53
-
-
Iwaniec, H.1
Kowalski, E.2
-
33
-
-
76249091021
-
From combinatorics to ergodic theory and back again
-
Eur. Math. Soc., Zürich
-
B. KRA, From combinatorics to ergodic theory and back again, in International Congress of Mathematicians. Vol. III, Eur. Math. Soc., Zürich, 2006, pp. 57-76.
-
(2006)
International Congress of Mathematicians
, vol.3
, pp. 57-76
-
-
Kra, B.1
-
34
-
-
77957695944
-
-
Personal communication
-
A. LEIBMAN, Personal communication.
-
-
-
Leibman, A.1
-
36
-
-
77957719542
-
Über paralelle Flächen
-
(1840) 114-118 (Ges. Werke. Reiner, Berlin
-
J. STEINER, Über paralelle Flächen, Jbr. Preuss. Akad. Wiss. (1840), 114-118 (Ges. Werke Vol. II, Reiner, Berlin (1882), pp. 173-176.
-
(1882)
Jbr. Preuss. Akad. Wiss
, vol.2
, pp. 173-176
-
-
Steiner, J.1
-
37
-
-
0001549458
-
On sets of integers containing no k elements in arithmetic progression
-
E. SZEMERÉDI, On sets of integers containing no k elements in arithmetic progression, Acta Arith. 27 (1975), 199-245.
-
(1975)
Acta Arith
, vol.27
, pp. 199-245
-
-
Szemerédi, E.1
-
38
-
-
77957709160
-
A remark on Goldston-Yi{dotless}ldi{dotless}ri{dotless}m correlation estimates
-
T. TAO, A remark on Goldston-Yi{dotless}ldi{dotless}ri{dotless}m correlation estimates. Available at http://www.math.ucla.edu/~tao/preprints/Expository/gy-corr.dvi
-
Available at
-
-
Tao, T.1
-
39
-
-
72749114020
-
Arithmetic progressions and the primes
-
Extra Proc. 7th International Conference on Harmonic Analysis and Partial Differential Equations
-
T. TAO, Arithmetic progressions and the primes, Collect. Math. 2006, Extra Vol., 2006, Proc. 7th International Conference on Harmonic Analysis and Partial Differential Equations, pp. 37-88.
-
(2006)
Collect. Math.
, vol.2006
, pp. 37-88
-
-
Tao, T.1
-
40
-
-
33847753436
-
The Gaussian primes contain arbitrarily shaped constellations
-
T. TAO, The Gaussian primes contain arbitrarily shaped constellations, J. Anal. Math. 99 (2006), 109-176.
-
(2006)
J. Anal. Math
, vol.99
, pp. 109-176
-
-
Tao, T.1
-
41
-
-
57049189866
-
Obstructions to uniformity and arithmetic patterns in the primes
-
T. TAO, Obstructions to uniformity and arithmetic patterns in the primes, Pure Appl. Math. Q. 2 (2006), 395-433.
-
(2006)
Pure Appl. Math. Q.
, vol.2
, pp. 395-433
-
-
Tao, T.1
-
42
-
-
33746620574
-
A variant of the hypergraph removal lemma
-
T. TAO, A variant of the hypergraph removal lemma, J. Combin. Theory Ser. A 113 (2006), 1257-1280.
-
(2006)
J. Combin. Theory Ser. A.
, vol.113
, pp. 1257-1280
-
-
Tao, T.1
-
43
-
-
49749137259
-
-
Cambridge Univ. Press, Cambridge
-
T. TAO and V. VU, Additive Combinatorics, Cambridge Stud. Adv. Math. 105, Cambridge Univ. Press, Cambridge, 2006.
-
(2006)
Additive Combinatorics, Cambridge Stud. Adv. Math
, vol.105
-
-
Tao, T.1
Vu, V.2
-
44
-
-
0002996391
-
Über Summen von Primzahlen und Primzahlquadraten
-
J. G. VAN DER CORPUT, Über Summen von Primzahlen und Primzahlquadraten, Math. Ann. 116 (1939), 1-50.
-
(1939)
Math. Ann
, vol.116
, pp. 1-50
-
-
Van Der Corput, J.G.1
|