-
1
-
-
0001934611
-
Irrationalité de ζ(2) et ζ(3)
-
R. Apéry, "Irrationalité de ζ(2) et ζ(3)", Astérisque 61 (1979), 11-13.
-
(1979)
Astérisque
, vol.61
, pp. 11-13
-
-
Apéry, R.1
-
2
-
-
0002145526
-
A proof that Euler missed... Apéry's proof of the irrationality of ζ(3). An informal report
-
A. van der Poorten, "A proof that Euler missed... Apéry's proof of the irrationality of ζ(3). An informal report", Math. Intelligencer 1:4 (1978/79), 195-203.
-
(1978)
Math. Intelligencer
, vol.1
, Issue.4
, pp. 195-203
-
-
Van Der Poorten, A.1
-
3
-
-
0000356657
-
A note on the irrationality of ζ(2) and ζ(3)
-
F. Beukers, "A note on the irrationality of ζ(2) and ζ(3)", Dull. London Math. Soc. 11 (1979), 268-272.
-
(1979)
Dull. London Math. Soc.
, vol.11
, pp. 268-272
-
-
Beukers, F.1
-
4
-
-
14844346452
-
The irrationality of certain quantities involving ζ(3)
-
L.A. Gutnik, "The irrationality of certain quantities involving ζ(3)", Uspekhi Mat. Nauk 34:3 (1979), 190;
-
(1979)
Uspekhi Mat. Nauk
, vol.34
, Issue.3
, pp. 190
-
-
Gutnik, L.A.1
-
5
-
-
33748560222
-
-
English transl., Russian Math. Surveys 34:3 (1979), 200;
-
(1979)
Russian Math. Surveys
, vol.34
, Issue.3
, pp. 200
-
-
-
6
-
-
0000756817
-
-
Acta Arith. 42:3 (1983), 255-264.
-
(1983)
Acta Arith.
, vol.42
, Issue.3
, pp. 255-264
-
-
-
7
-
-
0001810624
-
Padé approximations in number theory
-
Springer-Verlag, Berlin
-
F. Beukers, "Padé approximations in number theory", Lecture Notes in Math., vol. 888, Springer-Verlag, Berlin 1981, pp. 90-99.
-
(1981)
Lecture Notes in Math.
, vol.888
, pp. 90-99
-
-
Beukers, F.1
-
8
-
-
14844366091
-
Irrationality proofs using modular forms
-
F. Beukers, "Irrationality proofs using modular forms", Astérisque 147-148 (1987), 271-283.
-
(1987)
Astérisque
, vol.147-148
, pp. 271-283
-
-
Beukers, F.1
-
9
-
-
0002081353
-
Hermite-Padé approximations of Nikishin systems and the irrationality of ζ(3)
-
V. N. Sorokin, "Hermite-Padé approximations of Nikishin systems and the irrationality of ζ(3)", Uspekhi Mat. Nauk 49:2 (1994), 167-168;
-
(1994)
Uspekhi Mat. Nauk
, vol.49
, Issue.2
, pp. 167-168
-
-
Sorokin, V.N.1
-
10
-
-
85164642758
-
-
English transl., Russian Math. Surveys 49:2 (1991), 176-177.
-
(1991)
Russian Math. Surveys
, vol.49
, Issue.2
, pp. 176-177
-
-
-
11
-
-
0001423294
-
A few remarks on ζ(3)
-
Yu. V. Nesterenko, "A few remarks on ζ(3)", Mat. Zametki 59 (1996), 865-880;
-
(1996)
Mat. Zametki
, vol.59
, pp. 865-880
-
-
Nesterenko, Yu.V.1
-
12
-
-
0001720123
-
-
English transl., Math. Notes 59 (1996), 625-636.
-
(1996)
Math. Notes
, vol.59
, pp. 625-636
-
-
-
13
-
-
0034366259
-
A new irrationality measure for ζ(3)
-
M. Hata, "A new irrationality measure for ζ(3)", Acta Arith. 92:1 (2000), 47-57.
-
(2000)
Acta Arith.
, vol.92
, Issue.1
, pp. 47-57
-
-
Hata, M.1
-
14
-
-
0035651903
-
The group structure for ζ(3)
-
G. Rhin and C. Viola, "The group structure for ζ(3)", Acta Arith. 97:3 (2001), 269-293.
-
(2001)
Acta Arith.
, vol.97
, Issue.3
, pp. 269-293
-
-
Rhin, G.1
Viola, C.2
-
17
-
-
0034662540
-
La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
-
T. Rivoal, "La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs", C. R. Acad. Sci. Paris Sér. I Math. 331:4 (2000), 267-270; http://arXiv.org/abs/ math/0008051.
-
(2000)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.331
, Issue.4
, pp. 267-270
-
-
Rivoal, T.1
-
19
-
-
0035641769
-
Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs
-
K. Ball and T. Rivoal, "Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs", Invent. Math. 146:1 (2001), 193-207.
-
(2001)
Invent. Math.
, vol.146
, Issue.1
, pp. 193-207
-
-
Ball, K.1
Rivoal, T.2
-
21
-
-
0039882582
-
-
English transl., Moscow Univ. Math. Bull. 40:1 (1985), 69-74.
-
(1985)
Moscow Univ. Math. Bull.
, vol.40
, Issue.1
, pp. 69-74
-
-
-
23
-
-
33747430511
-
Linear independence of vectors with polylogarithmic coordinates
-
"Linear independence of vectors with polylogarithmic coordinates", Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. 1999, no. 6, 54-56;
-
(1999)
Vestnik Moskov. Univ. Ser. 1 Mat. Mekh.
, Issue.6
, pp. 54-56
-
-
-
24
-
-
85164653175
-
-
English transl., Moscow Univ. Math. Bull. 54:6 (1999), 40-42
-
(1999)
Moscow Univ. Math. Bull.
, vol.54
, Issue.6
, pp. 40-42
-
-
-
25
-
-
0012446789
-
A lower estimate for rational approximations of in 2
-
E. A. Rukhadze, "A lower estimate for rational approximations of In 2", Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. 1987, no. 6, 25-29;
-
(1987)
Vestnik Moskov. Univ. Ser. 1 Mat. Mekh.
, Issue.6
, pp. 25-29
-
-
Rukhadze, E.A.1
-
26
-
-
85164654255
-
-
English transl., Moscow Univ. Math. Bull. 42:6 (1987), 30-35.
-
(1987)
Moscow Univ. Math. Bull.
, vol.42
, Issue.6
, pp. 30-35
-
-
-
27
-
-
0005232525
-
On the irrationality of the values of the zeta function at odd integer points
-
V. V. Zudilin, "On the irrationality of the values of the zeta function at odd integer points"', Uspekhi Mat. Nauk 56:2 (2001), 215-216;
-
(2001)
Uspekhi Mat. Nauk
, vol.56
, Issue.2
, pp. 215-216
-
-
Zudilin, V.V.1
-
28
-
-
0035594959
-
-
English transl., Russian Math. Surveys 56 (2001), 423-424.
-
(2001)
Russian Math. Surveys
, vol.56
, pp. 423-424
-
-
-
29
-
-
0000023788
-
On the irrationality of the values of the functions F(x, s)
-
E. M. Nikishin, "On the irrationality of the values of the functions F(x, s)", Mat. Sbornik 109 (1979), 410-417;
-
(1979)
Mat. Sbornik
, vol.109
, pp. 410-417
-
-
Nikishin, E.M.1
-
30
-
-
84957167586
-
-
English transl., Math. USSR-Sb. 37 (1980), 381-388.
-
(1980)
Math. USSR-Sb.
, vol.37
, pp. 381-388
-
-
-
31
-
-
85164646354
-
Diophantine approximations to Riemann's zeta function
-
(4 October, 2000), Mosk. Gos. Univ., Moscow
-
Yu. V. Nesterenko, "Diophantine approximations to Riemann's zeta function", Report on the Workshop on Number Theory (4 October, 2000), Mosk. Gos. Univ., Moscow 2000.
-
(2000)
Report on the Workshop on Number Theory
-
-
Nesterenko, Yu.V.1
-
32
-
-
0003911106
-
-
Grundlehren Math. Wiss, Springer-Verlag, Berlin ; Russian transl., Mir, Moscow
-
S. Lang, Introduction to modular forms, Grundlehren Math. Wiss., vol. 222, Springer-Verlag, Berlin 1976; Russian transl., Mir, Moscow 1979.
-
(1976)
Introduction to Modular Forms
, vol.222
-
-
Lang, S.1
-
33
-
-
0003930163
-
-
North-Holland, Amsterdam ; Russian transl., Inostr. Lit., Moscow
-
N. G. de Bruijn, Asymptotic methods in analysis, North-Holland, Amsterdam 1958; Russian transl., Inostr. Lit., Moscow 1961.
-
(1958)
Asymptotic Methods in Analysis
-
-
De Bruijn, N.G.1
-
34
-
-
0012593008
-
-
Aspects of Math., Vieweg, Wiesbaden
-
M. Yoshida, Hypergeometric function, my love, Aspects of Math., vol. E32, Vieweg, Wiesbaden 1997.
-
(1997)
Hypergeometric Function, My Love
, vol.E32
-
-
Yoshida, M.1
-
35
-
-
0001669878
-
On the method of Thue-Siegel
-
G. V. Chudnovsky, "On the method of Thue-Siegel", Ann. of Math. (2) 117 (1983), 325-382.
-
(1983)
Ann. of Math.
, vol.117
, Issue.2
, pp. 325-382
-
-
Chudnovsky, G.V.1
-
36
-
-
84961495106
-
Legendre type polynomials and irrationality measures
-
M. Hata, "Legendre type polynomials and irrationality measures", J. Reine Angew. Math. 407:1 (1990), 99-125.
-
(1990)
J. Reine Angew. Math.
, vol.407
, Issue.1
, pp. 99-125
-
-
Hata, M.1
-
38
-
-
0042753428
-
One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
-
V. V. Zudilin, "One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational", Uspekhi Mat. Nauk 56:4 (2001), 149-150;
-
(2001)
Uspekhi Mat. Nauk
, vol.56
, Issue.4
, pp. 149-150
-
-
Zudilin, V.V.1
-
39
-
-
0035634856
-
-
English transl.
-
English transl., Russian Math. Surveys 56 (2001), 774-776.
-
(2001)
Russian Math. Surveys
, vol.56
, pp. 774-776
-
-
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