Selected Works of Ilya Piatetski-Shapiro

Autobiographical papers: Etude on life and automorphic forms in the Soviet Union by I. Piatetski-Shapiro Early papers in harmonic analysis and number theory: On the problem of uniqueness of the expansion of a function into a trigonometric series by I. I. Piatetski-Shapiro On the distribution of prime numbers in sequences of the form $[f(n)]$ by I. I. Piatetski-Shapiro An addition to the work "On the problem of uniqueness of the expansion of a function into a trigonometric series" by I. I. Piatetski-Shapiro Early papers in harmonic analysis and number theory by P. Sarnak Automorphic functions and discrete groups: Abelian modular functions by I. I. Piatetskii-Shapiro On an estimate of the dimension of the space of automorphic forms for certain types of discrete groups by I. I. Piatetskii-Shapiro Discrete subgroups of the group of analytic automorphisms of the polycylinder and automorphic forms by I. I. Piatetski-Shapiro Theory of representations and theory of automorphic functions by I. M. Gel'fand and I. I. Pyateckii-Sapiro Automorphic functions and representation theory by I. M. Gelfand and I. I. Pjateckii-Sapiro Automorphic functions and arithmetic groups by I. I. Pjateckii-Sapiro On reduction modulo a prime of fields of modular functions by I. I. Pjateckii-Sapiro Non-arithmetic groups in Lobachevsky spaces by M. Gromov and I. Piatetski-Shapiro Automorphic functions and discrete groups by P. Sarnak Bounded homogeneous domains: Some questions of harmonic analysis in homogeneous cones by I. I. Piatetski-Shapiro On a problem proposed by E. Cartan by I. I. Piatetskii-Shapiro Classification of bounded homogeneous domains in $n$-dimensional complex space by I. Pyateckii-Sapiro Bounded homogeneous domains in $n$-dimensional complex space by I. Pjatetskii-Sapiro Regions of the type of the upper half-plane in the theory of functions of several complex variables by I. Pjateckii-Sapiro Classification and canonical realization of complex bounded homogeneous domains by E. B. Vinberg, S. G. Gindikin, and I. I. Pjateckii-Sapiro The work of Piatetski-Shapiro on complex homogeneous bounded domains by S. Gindikin Applied Mathematics: Automatic control in biological systems by I. I. Pyatetskii-Shapiro, O. N. Stavskaya, and A. L. Toom Piatetski-Shapiro's work in applied mathematics by J. Cogdell and S. Gindikin Algebraic geometry: A Torelli theorem for algebraic surfaces of type $K3$ by I. I. Pjateckii-Sapiro and I. R. Safarevic Interrelations between the Tate and Hodge conjectures for abelian varieties by I. I. Pjateckii-Sapiro The arithmetic of K3 surfaces by I. I. Pjateckii-Sapiro and I. R. Safarevic On the algebraic geometry papers of Piatetski-Shapiro by P. Deligne Automorphic $L$-functions: On the Weil-Jacquet-Langlands theorem by I. I. Pjateckij-Sapiro Euler subgroups by I. I. Pjateckij-Sapiro Automorphic $L$-functions of half-integral weight by S. S. Gelbart and I. I. Piatetski-Shapiro Tate theory for reductive groups and distinguished representations by I. Piatetski-Shapiro Automorphic forms on GL(3) I by H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika Automorphic forms on GL(3) II by H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika Relevement cubique non normal by H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika Rankin-Selberg convolutions by H. Jacquet, I. I. Piatetskii-Shapiro, and J. A. Shalika $L$-functions of automorphic forms on simple classical groups by I. Piatetski-Shapiro and S. Rallis A cubic analogue of the cuspidal theta representations by S. J. Patterson and I. I. Piatetski-Shapiro A new way to get Euler products by I. Piatetski-Shapiro and S. Rallis $L$ functions for the group $G_2$ by I. Piatetski-Shapiro, S. Rallis, and G. Schiffmann Converse theorems for GL$_n$ by J. W. Cogdell and I. I. Piatetski-Shapiro The work of Piatetski-Shapiro on $L$-functions by J. Cogdell, S. Gelbart, and S. Rallis Theta lifts and applications to generalized Ramanujan conjectures: A counterexample to the "Generalized Ramanujan conjecture" for (quasi-) split groups by R. Howe and I. I. Piatetski-Shapiro Cuspidal automorphic representations associated to parabolic subgroups and Ramanujan conjecture by I. Piatetski-Shapiro On the Saito-Kurokawa lifting by I. I. Piatetski-Shapiro Poincare series for $SO(n,1)$ by J.-S. Li, I. Piatetski-Shapiro, and P. Sarnak Unitarity and functoriality by J. W. Cogdell and I. I. Piatetski-Shapiro Theta lifts and applications to generalized Ramanujan conjectures by R. Howe and P. Sarnak.