Ilya Piatetski-Shapiro

Ilya Piatetski-Shapiro's AcademicInfluence.com Rankings

Mathematics

#923

World Rank

#1614

Historical Rank

Number Theory

#84

World Rank

#118

Historical Rank

Measure Theory

#3143

World Rank

#3728

Historical Rank

mathematics Degrees

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Mathematics

Why Is Ilya Piatetski-Shapiro Influential?

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According to Wikipedia, Ilya Piatetski-Shapiro was a Soviet-born Israeli mathematician. During a career that spanned 60 years he made major contributions to applied science as well as pure mathematics. In his last forty years his research focused on pure mathematics; in particular, analytic number theory, group representations and algebraic geometry. His main contribution and impact was in the area of automorphic forms and L-functions.

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Ilya Piatetski-Shapiro's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Representation theory and automorphic functions (1969) (554)
Automorphic functions and the geometry of classical domains (1969) (285)
Non-arithmetic groups in lobachevsky spaces (1987) (216)
Explicit constructions of automorphic L-functions (1987) (209)
Functoriality for the classical groups (2004) (200)
On the Saito-Kurokawa lifting (1983) (169)
Rankin triple L-functions (1987) (162)
Automorphic Forms on GL(3) II (1979) (153)
Converse theorems for GLn (1994) (140)
L-functions for the classical groups (1987) (133)
On lifting from classical groups to GLN (2001) (114)
L Functions for the Orthogonal Group (1997) (88)
The arithmetic and spectral analysis of Poincaré series (1990) (86)
ε factor of representations of classical groups (1986) (80)
Distinguished representations and modular forms of half-integral Weight (1980) (78)
Complex representations of GL(2,K) for finite fields K (1983) (65)
On the Geometric Langlands Conjecture (60)
Converse theorems for GLn, II (1999) (55)
L-functions for G×GL(n) (1987) (54)
On Shimura’s Correspondence for Modular Forms of Half-Integral Weight (1981) (41)
L-FUNCTIONS FOR GSP4 (1997) (41)
Automorphic forms and L-functions for the unitary group (1983) (41)
Stability of gamma factors for SO(2n+1) (1998) (38)
LOCAL COEFFICIENTS AND NORMALIZATION OF INTERTWINING OPERATORS FOR GL ( n ) (38)
Some examples of automorphic forms on $\mathrm{Sp}_4$ (1983) (38)
STABILITY OF γ-FACTORS FOR QUASI-SPLIT GROUPS (2007) (29)
Derivatives and L-Functions for GL n (2017) (27)
Partial Bessel functions for quasi-split groups (2005) (27)
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger (1983) (26)
Uniqueness and existence of Whittaker models for the metaplictic group (1979) (25)
Complex Representations of (2,) for Finite Fields (1983) (21)
Work of Waldspurger (1983) (21)
L and ε Factors for GSp (4) (1982) (21)
A Converse Theorem for $GL_4$ (1996) (19)
Poincaré series forSO(n, 1) (1991) (18)
STABILITY OF $\gamma$-FACTORS FOR QUASI-SPLIT GROUPS (2007) (18)
The symmetric-squareL-function attached to a cuspidal automorphic representation ofGL3 (1989) (17)
Converse Theorems, Fune tor iality, and Applications to Number Theory (2003) (15)
Poincaré series forSO(n, 1) (1987) (14)
Base change for the Saito-Kurokawa representations of PGSp(4) (1988) (13)
Selected Works of Ilya Piatetski-Shapiro (2000) (11)
Quadratic base change of θ10 (2001) (11)
Special Automorphic Forms on PGSp 4 (1983) (11)
Cuspidal Automorphic Representations Associated to Parabolic Subgroups and Ramanujan Conjecture (1982) (10)
L and ε functions for GSp(4) × GL(2) (1984) (10)
RANKIN-SELBERG INTEGRALS FOR THE GROUP G2 (1992) (9)
A CONVERSE THEOREM FOR GL4 (2004) (8)
Automorphic L-functions of half-integral weight. (1978) (8)
The Schur lectures (1992) (1995) (7)
Unitarity and functoriality (1995) (6)
The meromorphic continuation of Kloosterman-Selberg zeta functions (1990) (5)
A remark on my paper “On the Saito-Kurokawa lifting” (1984) (5)
Chapter 2: The representations of GL(2,K) (1983) (5)
Base change for ≈SL2 (1987) (4)
$L$ functions for the group $G_2$ (1990) (4)
WITHDRAWN: Perspectives in Mathematics (1990) (4)
epsilon factor of representations of classical groups. (1986) (3)
Invariant theory and kloosterman sums (1987) (3)
On base change for odd orthogonal groups (1995) (2)
Converse theorem for GL(3) (1975) (2)
Special representations of rank one orthogonal groups (1988) (2)
Ramanujan complexes, non-uniform quotients, and isospectrality (2005) (1)
Arithmeticity of Discrete Subgroups and Automorphic Forms (1998) (1)
WITHDRAWN: SPECTRAL ANALYSIS OF L 2 (Γ\G) (1990) (0)
RETRACTED: Front Matter (1990) (0)
Chapter 1: Preliminaries: Representation Theory; the general linear group (1983) (0)
Contemporary Mathematics On Partial Poincaré Series (2008) (0)
11 – RETRACTED: INNER PRODUCT FORMULAS FOR POINCARÉ SERIES (1990) (0)
1 – RETRACTED: POINCARÉ-SELBERG SERIES (1990) (0)
10 – RETRACTED: THE KLOOSTERMAN-SELBERG ZETA FUNCTION, II (1990) (0)
5 – RETRACTED: THE KLOOSTERMAN-SPECTRAL FORMULA (1990) (0)
4 – RETRACTED: THE RAMANUJAN-PETERSSON AND LINNIK-SELBERG CONJECTURES (1990) (0)
L and epsilon functions for GSp(4) x GL(2). (1984) (0)
4 – RETRACTED: WHITTAKER MODELS, KIRILLOV MODELS, AND BESSEL FUNCTIONS (1990) (0)
3 – RETRACTED: THE KLOOSTERMAN-SPECTRAL FORMULA OVER A FINITE FIELD (1990) (0)
Clay Mathematics Proceedings Functoriality for the quasisplit classical groups (2009) (0)
2 – RETRACTED: KLOOSTERMAN SUMS, POINCARÉ SERIES, AND THE “SOFT” KLOOSTERMAN-SPECTRAL FORMULA (1990) (0)
0 – RETRACTED: NOTATION AND CONVENTIONS (1990) (0)
Stability of gamma factors forSO(2n+1) (1998) (0)
Chapter 3: Γ-functions and Bessel functions (1983) (0)
9 – RETRACTED: CONVERGENCE AND CONTINUATION (1990) (0)
3 – RETRACTED: KLOOSTERMAN-SELBERG ZETA FUNCTION: GEOMETRIC SIDE (1990) (0)
8 – WITHDRAWN: GAMMA FUNCTIONS OF REPRESENTATIONS (1990) (0)
6 – RETRACTED: AN EXPLICIT KLOOSTERMAN-SPECTRAL FORMULA (1990) (0)
Papers in analysis, number theory and automorphic L-functions (1990) (0)
2 – RETRACTED: THE KLOOSTERMANN-SELBERG ZETA FUNCTION: SPECTRAL PART (1990) (0)

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