-
1
-
-
0039373805
-
-
Ph.D. dissertation, Georg-August-Universiẗat, G̈ottingen, Germany
-
P. Bernays, Über die Darstellung von positiven, ganzen Zahlen durch die primitiven, bin̈aren quadratischen Formen einer nicht quadratischen Diskriminante, Ph.D. dissertation, Georg-August-Universiẗat, G̈ottingen, Germany (1912).
-
(1912)
Über Die Darstellung Von Positiven, Ganzen Zahlen Durch Die Primitiven, Bin̈aren Quadratischen Formen Einer Nicht Quadratischen Diskriminante
-
-
Bernays, P.1
-
2
-
-
33751503130
-
Estimates for representation numbers of quadratic forms
-
MR2267284 (2007i:11132)
-
V. Blomer, A. Granville, Estimates for representation numbers of quadratic forms, Duke Math. J., 135 No. 2, pp. 261-302 (2006). MR2267284 (2007i:11132)
-
(2006)
Duke Math. J
, vol.135
, Issue.2
, pp. 261-302
-
-
Blomer, V.1
Granville, A.2
-
3
-
-
84966217524
-
The sequence of radii of the Apollonian packing
-
MR658230 (83i:52013
-
D.W. Boyd, The sequence of radii of the Apollonian packing, Math. Comp., 39 (159) pp. 249-254 (1982). MR658230 (83i:52013)
-
(1982)
Math. Comp
, vol.39
, Issue.159
, pp. 249-254
-
-
Boyd, D.W.1
-
4
-
-
0003806299
-
-
Dover Publications, Inc., Mineola, NY, MR522835 (80m:10019)
-
J.W.S. Cassels, Rational Quadratic Forms, Dover Publications, Inc., Mineola, NY (1978). MR522835 (80m:10019)
-
(1978)
Rational Quadratic Forms
-
-
Cassels, J.W.S.1
-
6
-
-
84973998259
-
Density of integer points on affine homogeneous varieties
-
MR1230289 (94k:11072)
-
W. Duke, Z. Rudnick, and P. Sarnak, Density of integer points on affine homogeneous varieties, Duke Math. J., 71 no. 1, pp. 143-179 (1993). MR1230289 (94k:11072)
-
(1993)
Duke Math. J
, vol.71
, Issue.1
, pp. 143-179
-
-
Duke, W.1
Rudnick, Z.2
Sarnak, P.3
-
7
-
-
0003711174
-
-
Berlin, Heidelberg, MR1483315 (98g:11058)
-
J. Elstrodt, F. Grunewald, J. Mennicke, Groups Acting on Hyperbolic Space, Springer Verlag, Berlin, Heidelberg (1998). MR1483315 (98g:11058)
-
(1998)
Groups Acting on Hyperbolic Space, Springer Verlag
-
-
Elstrodt, J.1
Grunewald, F.2
Mennicke, J.3
-
8
-
-
0006738469
-
A new application of the Hardy - Littlewood - Kloosterman method
-
MR0137677 (25:1127)
-
T. Estermann, A new application of the Hardy - Littlewood - Kloosterman method, Proc. London. Math. Soc. 12, pp. 425-444 (1962). MR0137677 (25:1127)
-
(1962)
Proc. London. Math. Soc
, vol.12
, pp. 425-444
-
-
Estermann, T.1
-
9
-
-
79959914190
-
-
Colloquium Publ, A.M.S, MR2647984 (2011d:11227)
-
J. Friedlander, H. Iwaniec, Opera de Cribro, Colloquium Publ. 57, A.M.S (2010). MR2647984 (2011d:11227)
-
(2010)
Opera De Cribro
, vol.57
-
-
Friedlander, J.1
Iwaniec, H.2
-
13
-
-
0037691992
-
Apollonian circle packings: Number theory
-
MR1971245 (2004d:11055)
-
R.L. Graham, J.C. Lagarias, C.L. Mallows, A.R. Wilks, C.H. Yan, Apollonian circle packings: number theory, J. of Number Theory, 100 (1), pp. 1-45 (2003). MR1971245 (2004d:11055)
-
(2003)
J. of Number Theory
, vol.100
, Issue.1
, pp. 1-45
-
-
Graham, R.L.1
Lagarias, J.C.2
Mallows, C.L.3
Wilks, A.R.4
Yan, C.H.5
-
14
-
-
30644467650
-
Apollonian circle packings: Geometry and group theory. I. The Apollonian group
-
MR2173929 (2009a:11090a)
-
R.L. Graham, J.C. Lagarias, C.L. Mallows, A.R. Wilks, C.H. Yan, Apollonian circle packings: geometry and group theory. I. The Apollonian group, Discrete Comput. Geom., 34 (4), pp. 547-585 (2005). MR2173929 (2009a:11090a)
-
(2005)
Discrete Comput. Geom.
, vol.34
, Issue.4
, pp. 547-585
-
-
Graham, R.L.1
Lagarias, J.C.2
Mallows, C.L.3
Wilks, A.R.4
Yan, C.H.5
-
15
-
-
21444451657
-
A new form of the circle method, and its application to quadratic forms
-
MR1421949 (97k:11139)
-
D.R. Heath-Brown, A new form of the circle method, and its application to quadratic forms, J.Reine Angew. Math. 481, pp. 149-206 (1996). MR1421949 (97k:11139)
-
(1996)
J.Reine Angew. Math
, vol.481
, pp. 149-206
-
-
Heath-Brown, D.R.1
-
16
-
-
0000927222
-
The Apollonian packing of circles
-
MR0009128 (5:106e)
-
K.E. Hirst, The Apollonian packing of circles, Proc. Nat. Acad. Sci. USA, 29, pp. 378-384 (1943). MR0009128 (5:106e)
-
(1943)
Proc. Nat. Acad. Sci. USA
, pp. 378-384
-
-
Hirst, K.E.1
-
17
-
-
79959884586
-
-
AMS Colloquium Publications 53, MR2061214 (2005h:11005)
-
H. Iwaniec, E. Kowalski, Analytic Number Theory, AMS Colloquium Publications 53 (2004). MR2061214 (2005h:11005)
-
(2004)
Analytic Number Theory
-
-
Iwaniec, H.1
Kowalski, E.2
-
18
-
-
0004117363
-
-
The University of Chicago Press, MR1177168 (93d:20088
-
S. Katok, Fuchsian Groups, The University of Chicago Press (1992). MR1177168 (93d:20088)
-
(1992)
Fuchsian Groups
-
-
Katok, S.1
-
19
-
-
51249193208
-
On the representation of numbers of the form ax2+by2+cz2+dt2
-
H.D. Kloosterman, On the representation of numbers of the form ax2+by2+cz2+dt2, Acta Math. 49, pp. 407-464 (1926).
-
(1926)
Acta Math
, vol.49
, pp. 407-464
-
-
Kloosterman, H.D.1
-
20
-
-
79953735111
-
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
-
A. Kontorovich, H. Oh, Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds, J. Amer. Math. Soc. 24, pp. 603-648 (2011).
-
(2011)
J. Amer. Math. Soc
, vol.24
, pp. 603-648
-
-
Kontorovich, A.1
Oh, H.2
|