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Tables of Contents for Selected Works of Ilya Piatetski-Shapiro
Chapter/Section Title
Page #
Page Count
Preface
xi
 
Curriculum Vitae
xiii
 
Publications
xv
 
Autobiographical papers
1
2
Etude on life and automorphic forms in the Soviet Union. Golden Years of Moscow Mathematics, History of Mathematics 6
3
14
S. Zdravkovska
P. Duren
Early papers in harmonic analysis and number theory
17
54
On the problem of uniqueness of the expansion of a function into a trigonometric series. (Russian) Uchen. Zap. MGU 155, Math. 5 (1952), 54-72
19
20
A. V. Stoyanovsky
On the distribution of prime numbers in sequences of the form [f(n)]. (Russian) Mat. Sb. 33 (1953), 559-566
39
10
R. Bezrukavnikov
An addition to the work ``On the problem of uniqueness of the expansion of a function into a trigonometric series''. (Russian) Uchen. Zap. MGU 165, Math. 7 (1954), 79-97
49
22
G. L. Rybnikov
Commentary (Sarnak)
69
2
Automorphic functions and discrete groups
71
114
Abelian modular functions. (Russian) Dokl. Akad. Nauk SSSR 95 (1954), 221-224
73
4
R. Bezrukavnikov
On an estimate of the dimension of the space of automorphic forms for certain types of discrete groups. (Russian) Dokl. Akad. Nauk SSSR 113 (1957), 980-983
77
4
R. Bezrukavnikov
Discrete subgroups of the group of analytic automorphisms of the poly-cylinder and automorphic forms. (Russian) Dokl. Akad. Nauk SSSR 124 (1959), 760-763
81
6
G. L. Rybnikov
Theory of representations and theory of automorphic functions. Uspehi Mat. Nauk 14 (1959), 171-194. [AMS Transl. (2) 26 (1963), 173-200.]
87
28
I. M. Gelfand
Automorphic functions and representation theory. Trudy Moskov. Mat. Obsc. 12 (1963), 389-412. [Trans. Moscow Math. Soc. 12 (1963), 438-464]
115
28
I. M. Gelfand
Automorphic functions and arithmetic groups. (Russian) Proc. Internat. Congr. Math. (Moscow, 1966). Izdat. ``Mir'', Moscow, 1968, 232-274. [AMS Transl. (2) 70 (1968), 185-201.]
143
18
On reduction modulo a prime of fields of modular functions. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1264-1274. (RZMAT 1969 Vol.9 #A292) [Math. USSR-Izv. 2 (1968), 1213-1222.]
161
10
Non-arithmetic groups in Lobachevsky spaces. Publications Mathematiques IHES 66 (1988), 93-103
171
14
M. Gromov
Commentary (Sarnak)
183
2
Bounded homogeneous domains
185
90
Some questions of harmonic analysis in homogeneous cones. (Russian) Dokl. Akad. Nauk SSSR 116 (1957), 181-184
187
6
G. L. Rybnikov
On a problem proposed by E. Cartan. (Russian) Dokl. Akad. Nauk SSSR 124 (1959), 272-273
193
4
R. Bezrukavnikov
Classification of bounded homogeneous domains in n-dimensional complex space. (Russian) Dokl. Akad. Nauk SSSR 141 (1961), 316-319. [Soviet Math. Dokl. 2 (1961), 1460-1463.]
197
4
Bounded homogeneous domains in n-dimensional complex space. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 107-124. [AMS Transl. (2) 43 (1964), 299-320.]
201
22
Regions of the type of the upper half-plane in the theory of functions of several complex variables. (Russian) Proc. Internat. Congr. Math. (Stockholm 1962). Inst. Mittag-Leffler, Djursholm, 1963, 389-396. [AMS Transl. (2) 31 (1963), 53-61]
223
10
Classification and canonical realization of complex bounded homogeneous domains. Trudy Moskov. Mat. Obsc. 12 (1963) 359-388. [Trans. Moscow Math. Soc. 12 (1963), 404-437.]
233
42
E. B. Vinberg
S. G. Gindikin
Commentary (Gindikin)
267
8
Applied Mathematics
275
10
Certain homogeneous neuron nets. Automatica and Telemechanic, No.9 (1969), 123-128. [Automat. Remote Control 30 No.9 (1969), 1478-1482.]
277
8
O. N. Stavskaya
A. L. Toom
Commentary (Cogdell, Gindikin)
283
2
Algebraic Geometry
285
72
A Torelli theorem for algebraic surfaces of type K3. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 530-572. [Math. USSR-Izv. 5 (1972), 547-588.]
287
42
I. R. Shafarevich
Interrelations between the Tate and Hodge conjectures for abelian varieties. (Russian) Mat. Sb. 85 (127) (1971), 610-620. [Math. USSR-Sb. 14 (1971), 615-625.]
329
12
The arithmetic of K3 surfaces. Proc. of the International Conference on Number Theory (Moscow 1971), I. Vinogradov, et.al., ed. Nauka, Moscow, 1973, 44-54. [Proc. Steklov Inst. Math. 132 (1975), 45-57.]
341
16
I. R. Shafarevich
Commentary (Deligne)
355
2
Automorphic L-functions
357
392
On the Weil-Jacquet-Langlands theorem. Lie Groups and their Representations (Budapest 1971), I. M. Gelfand, ed. Halsted Press, New York, 1975, 583-595
359
14
Euler subgroups. Lie Groups and their Representations (Budapest 1971), I. M. Gelfand, ed. Halsted Press, New York, 1975, 597-620
373
24
Automorphic L-functions of half-integral weight. Proc. Nat. Acad. Sci. USA 75, No.4, (1978), 1620-1623
397
4
S. Gelbart
Tate theory for reductive groups and distinguished representations. Proc. Internat. Cong. Math. (Helsinki 1978) Vol.2. Acad. Sci. Fennica, Helsinki, 1978, 585-590
401
6
Automorphic forms on GL(3) I. Annals of Math. 109 (1979), 169-212
407
44
H. Jacquet
J. A. Shalika
Automorphic forms on GL(3) II. Annals of Math. 109 (1979), 213-258
451
46
H. Jacquet
J. A. Shalika
Relevement cubique non normal. C. R. Acad. Sci. Paris Ser. I. Math. 292 (1981), 567-571
497
6
H. Jacquet
J. A. Shalika
Rankin-Selberg convolutions. Amer. J. Math. 105 (1983), 367-464
503
98
H. Jacquet
J. A. Shalika
L-functions of automorphic forms on simple classical groups. Modular Forms (Durham, 1983), R. A. Rankin, ed. Horwood, Chichester, 1984, 251-261
601
12
S. Rallis
A cubic analogue of the cuspidal thea representations. J. Math. Pures et Appl. 63 (1984), 333-375
613
44
S. J. Patterson
A new way to get Euler products. J. reine angew. Math. 392 (1988), 110-124
657
16
S. Rallis
L functions for the group G2. Bull. AMS. 23 (1990), 389-399
673
12
G. Schiffmann
S. Rallis
Converse theorems for GLn. Publ. Math. IHES 79 (1994), 157-214
685
64
J. Cogdell
Commentary (Cogdell, Gelbart, Rallis)
743
6
Theta lifts and applications to generalized Ramanujan conjectures
749
74
A counterexample to the ``generalized Ramanujan conjecture'' for (quasi)-split groups. Automorphic Forms, Representations, and L-functions (Corvallis 1977), A. Borel and W. Casselman, ed. Proc. Symp. Pure Math. 33 part 1, Amer. Math. Soc., Providence, 1979, 315-322
751
8
R. Howe
Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture. Number Theory Related to Fermat's Last Theorem, N. Koblitz, ed. Progress in Math. 26, Birkhauser, Boston, 1982, 143-151
759
10
On the Saito-Kurokawa lifting. Inventiones Math. 71 (1983), 309-338
769
32
Poincare series for SO(n, 1). Proc. Indian Acad. Sciences (Math. Sci) (Ramanujan Centennial volume) 97 (1-3) (1987), 231-237
801
8
J-S. Li
P. Sarnak
Unitarity and functoriality. Geometric and Functional Analysis 5 (1995), 164-173
809
14
J. Cogdell
Commentary (Howe, Sarnak)
819
4
Acknowledgments
823