-
1
-
-
0005178660
-
On highly composite and similar numbers
-
L. Alaoglu and P. Erdos, On highly composite and similar numbers, Trans. Amer. Math. Soc. 56 (1944) 448-469.
-
(1944)
Trans. Amer. Math. Soc.
, vol.56
, pp. 448-469
-
-
Alaoglu, L.1
Erdos, P.2
-
2
-
-
0005213458
-
An introduction to Ramanujan's lost notebook
-
G.E. Andrews, An introduction to Ramanujan's lost notebook, Amer. Math. Monthly 86 (1979) 89-108.
-
(1979)
Amer. Math. Monthly
, vol.86
, pp. 89-108
-
-
Andrews, G.E.1
-
3
-
-
0032647538
-
The Riemann zeros and eigenvalue asymptotics
-
M.V. Berry and J.P. Keating, The Riemann zeros and eigenvalue asymptotics, SIAM Review 41 (1999) 236-266.
-
(1999)
SIAM Review
, vol.41
, pp. 236-266
-
-
Berry, M.V.1
Keating, J.P.2
-
4
-
-
0001540194
-
Hilbert's tenth problem: Aspects of a negative solution
-
Mathematical Developments Arising from Hilbert Problems, American Mathematical Society, Providence
-
M. Davis, Hilbert's Tenth Problem: Aspects of a negative solution, in Mathematical Developments Arising from Hilbert Problems, Proc. Symp. Pure Math. No. XXVIII, American Mathematical Society, Providence, 1976, pp. 323-378.
-
(1976)
Proc. Symp. Pure Math.
, vol.28
, pp. 323-378
-
-
Davis, M.1
-
6
-
-
0003664524
-
Ten physical applications of spectral zeta functions
-
Monograph 35, Springer-Verlag, Berlin
-
E. Elizalde, Ten Physical Applications of Spectral Zeta Functions, Lecture Notes in Physics, Monograph 35, Springer-Verlag, Berlin, 1995.
-
(1995)
Lecture Notes in Physics
-
-
Elizalde, E.1
-
8
-
-
84968497782
-
An elementary introduction to the langlands program
-
S. Gelbart, An elementary introduction to the Langlands program, Bull. Amer. Math. Soc. 10 (1984) 177-219.
-
(1984)
Bull. Amer. Math. Soc.
, vol.10
, pp. 177-219
-
-
Gelbart, S.1
-
10
-
-
33645916849
-
Zeta function regularization of path integrals in curved spacetime
-
S.W. Hawking, Zeta function regularization of path integrals in curved spacetime, Comm. Math. Phys. 55 (1977) 133-148.
-
(1977)
Comm. Math. Phys.
, vol.55
, pp. 133-148
-
-
Hawking, S.W.1
-
11
-
-
0033485102
-
Zeros of zeta functions and symmetry
-
N. Katz and P. Sarnak, Zeros of zeta functions and symmetry, Bull. Amer. Math. Soc. 36 (1999) 1-26.
-
(1999)
Bull. Amer. Math. Soc.
, vol.36
, pp. 1-26
-
-
Katz, N.1
Sarnak, P.2
-
12
-
-
0004155526
-
-
Addison-Wesley, Reading, MA
-
D. Knuth, R.L. Graham, and O. Patashnik, Concrete Mathematics, 2nd ed., Addison-Wesley, Reading, MA, 1994.
-
(1994)
Concrete Mathematics, 2nd ed.
-
-
Knuth, D.1
Graham, R.L.2
Patashnik, O.3
-
14
-
-
0005147030
-
Landau-Siegel zeroes and black hole entropy
-
S.D. Miller and G. Moore, Landau-Siegel zeroes and black hole entropy, Asian J. Math. 4 (2000) 183-211.
-
(2000)
Asian J. Math.
, vol.4
, pp. 183-211
-
-
Miller, S.D.1
Moore, G.2
-
15
-
-
0005232381
-
A motivated introduction to the Langlands program
-
Oxford University Press, New York
-
M.R. Murty, A motivated introduction to the Langlands program, in Advances in Number Theory, Oxford University Press, New York, 1993, pp. 37-66.
-
(1993)
Advances in Number Theory
, pp. 37-66
-
-
Murty, M.R.1
-
16
-
-
84867930438
-
Petites valeurs de la fonction d'Euler et hypothèse de Riemann
-
(Paris 1981/1982), Birkhäuser, Boston
-
J.L. Nicolas, Petites valeurs de la fonction d'Euler et hypothèse de Riemann, in Seminar on Number Theory, Paris 1981-82 (Paris 1981/1982), Birkhäuser, Boston, 1983, pp. 207-218.
-
(1983)
Seminar on Number Theory, Paris 1981-82
, pp. 207-218
-
-
Nicolas, J.L.1
-
17
-
-
0005179761
-
Petites valeurs de la function d'Euler
-
J.L. Nicolas, Petites valeurs de la function d'Euler, J. Number Theory 17 (1983) 375-388.
-
(1983)
J. Number Theory
, vol.17
, pp. 375-388
-
-
Nicolas, J.L.1
-
18
-
-
0000721445
-
Highly composite numbers
-
S. Ramanujan, Highly composite numbers, Proc. London Math. Soc. 14 (1915), 347-407; also in S. Ramanujan, Collected Papers, Chelsea, New York, 1962, pp. 78-129, notes pp. 338-339.
-
(1915)
Proc. London Math. Soc.
, vol.14
, pp. 347-407
-
-
Ramanujan, S.1
-
19
-
-
0000721445
-
-
Chelsea, New York
-
S. Ramanujan, Highly composite numbers, Proc. London Math. Soc. 14 (1915), 347-407; also in S. Ramanujan, Collected Papers, Chelsea, New York, 1962, pp. 78-129, notes pp. 338-339.
-
(1962)
Collected Papers
, pp. 78-129
-
-
Ramanujan, S.1
-
20
-
-
0003416611
-
-
with an introduction by George E. Andrews, Narosa, New Delhi, and Springer-Verlag, Berlin
-
S. Ramanujan, The Lost Notebook and Other Unpublished Papers, with an introduction by George E. Andrews, Narosa, New Delhi, and Springer-Verlag, Berlin, 1988.
-
(1988)
The Lost Notebook and Other Unpublished Papers
-
-
Ramanujan, S.1
-
21
-
-
21744431612
-
Highly composite numbers
-
annotated and with a foreword by J.-L. Nicholas and G. Robin
-
S. Ramanujan, Highly composite numbers, annotated and with a foreword by J.-L. Nicholas and G. Robin, Ramanujan J. 1 (1997) 119-153.
-
(1997)
Ramanujan J.
, vol.1
, pp. 119-153
-
-
Ramanujan, S.1
-
22
-
-
0002872653
-
Ueber die anzahl der primzahlen unter einer gegebenen Grösse
-
G.F.B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse, Monatsber. Akad. Berlin (1859) 671-680; also in G.F.B. Riemann, Gesammelte Mathematische Werke, H. Weber, ed., Dover reprint, 1953. [English translation in Edwards (1974), pp. 299-305.]
-
(1859)
Monatsber. Akad. Berlin
, pp. 671-680
-
-
Riemann, G.F.B.1
-
23
-
-
0004307120
-
-
H. Weber, ed., Dover reprint, [English translation in Edwards, pp. 299-305.]
-
G.F.B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse, Monatsber. Akad. Berlin (1859) 671-680; also in G.F.B. Riemann, Gesammelte Mathematische Werke, H. Weber, ed., Dover reprint, 1953. [English translation in Edwards (1974), pp. 299-305.]
-
(1953)
Gesammelte Mathematische Werke
-
-
Riemann, G.F.B.1
-
24
-
-
0005176947
-
Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann
-
G. Robin, Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann, J. Math. Pures Appl. 63 (1984) 187-213.
-
(1984)
J. Math. Pures Appl.
, vol.63
, pp. 187-213
-
-
Robin, G.1
-
25
-
-
84972540003
-
Approximate formulas for some functions of prime numbers
-
J.B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962) 64-94.
-
(1962)
Illinois J. Math.
, vol.6
, pp. 64-94
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
26
-
-
84966213805
-
Sharper bounds for the Chebyshev functions θ(x) and ψ (x)
-
J.B. Rosser and L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ (x), Math. Comp. 29 (1975) 243-269.
-
(1975)
Math. Comp.
, vol.29
, pp. 243-269
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
27
-
-
84966220677
-
Sharper bounds for the Chebyshev functions θ(x) and ψ(x) II
-
J.B. Rosser and L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ(x) II, Math. Comp. 30 (1976) 337-360.
-
(1976)
Math. Comp.
, vol.30
, pp. 337-360
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
28
-
-
0003669011
-
-
revised by D.R. Heath-Brown, Clarendon Press, Oxford
-
E.C. Titchmarsh, The Theory of the Riemann Zeta Function, 2nd ed., revised by D.R. Heath-Brown, Clarendon Press, Oxford, 1986.
-
(1986)
The Theory of the Riemann Zeta Function, 2nd ed.
-
-
Titchmarsh, E.C.1
|