Henryk Iwaniec

Q: What Schools Are Affiliated With Henryk Iwaniec

Henryk Iwaniec is affiliated with the following schools: Rutgers University, Princeton University, University of Toronto, University of Warsaw

Henryk Iwaniec's AcademicInfluence.com Rankings

Henryk Iwaniec

Mathematics

#748

World Rank

#1354

Historical Rank

Number Theory

#33

World Rank

#53

Historical Rank

Measure Theory

#996

World Rank

#1290

Historical Rank

mathematics Degrees

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Mathematics

Why Is Henryk Iwaniec Influential?

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According to Wikipedia, Henryk Iwaniec is a Polish-American mathematician, and since 1987 a professor at Rutgers University. He is a member of the American Academy of Arts and Sciences and Polish Academy of Sciences. He has made important contributions to analytic and algebraic number theory as well as harmonic analysis. He is the recipient of Cole Prize , Steele Prize , and Shaw Prize .

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Henryk Iwaniec'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

Analytic Number Theory (2004) (3252)
Topics in classical automorphic forms (1997) (915)
Spectral methods of automorphic forms (2002) (564)
Low lying zeros of families of L-functions (1999) (423)
Kloosterman sums and Fourier coefficients of cusp forms (1982) (391)
Sieve Methods (2000) (318)
Primes in arithmetic progressions to large moduli (1989) (276)
Perspectives on the Analytic Theory of L-Functions (2000) (250)
Introduction to the spectral theory of automorphic forms (1995) (223)
The cubic moment of central values of automorphic L-functions (1998) (219)
A new form of the error term in the linear sieve (1980) (195)
The subconvexity problem for Artin L–functions (2002) (173)
The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros (2000) (169)
The polynomial $X^2+Y^4$ captures its primes (1998) (160)
$L^\infty$ norms of eigenfunctions of arithmetic surfaces (1995) (158)
Bounds for automorphic L-functions (2005) (156)
On the divisor and circle problems (1988) (138)
Small eigenvalues of Laplacian for $Γ_{0}(N)$ (1990) (132)
Equidistribution of roots of a quadratic congruence to prime moduli (1995) (112)
Fourier coefficients of modular forms of half-integral weight (1987) (105)
Incomplete Kloosterman sums and a divisor problem (1985) (103)
Exponential sums with monomials (1989) (100)
Rosser's sieve (1980) (99)
A quadratic divisor problem (1994) (99)
On the Sphere Problem (1995) (86)
On the difference between consecutive primes (1979) (86)
ON THE PROBLEM OF JACOBSTHAL (1978) (84)
On the order of vanishing of modular $L$-functions at the critical point (1990) (83)
Bounds for automorphicL-functions (1993) (83)
Dirichlet L-functions at the central point (1999) (79)
Primes in arithmetic progressions to large Moduli. II (1987) (78)
Bilinear forms with Kloosterman fractions (1997) (74)
Spacing of zeros of Hecke L-functions and the class number problem (2001) (71)
Elementary and analytic theory of numbers (1985) (71)
Bounds for automorphic L–functions. III (2001) (70)
The divisor problem for arithmetic progressions (1985) (68)
Asymptotic sieve for primes. (1998) (63)
Fourier coefficients of cusp forms and the Riemann zeta-function (1980) (62)
The spectral growth of automorphic L-functions. (1992) (61)
Low-lying zeros of dihedral L-functions (2003) (60)
Summation Formulae for Coefficients of L-functions (2005) (59)
Almost-primes represented by quadratic polynomials (1978) (58)
Lectures on the Riemann zeta function (2014) (58)
Primes in arithmetic progressions to large moduli. III (1989) (55)
The second moment of the symmetric square $L$-functions (2001) (53)
Primes represented by quadratic polynomials in two variables (1974) (53)
On the order of $\zeta (\frac{1}{2} + it)$ (1986) (52)
Bounds for automorphicL-functions. II (1993) (52)
ON A THEOREM OF BOMBIERI-VINOGRADOV TYPE (1980) (49)
The half dimensional sieve (1976) (48)
Prime geodesic theorem. (1984) (48)
An estimate for the hecke eigenvalues of maass forms (1992) (48)
Primes of the type φ(x, y)+A where φ is a quadratic form (1972) (46)
On the greatest prime factor of $n^2+1$ (1982) (45)
Erratum to: Bounds for automorphic L–functions. II (2000) (45)
Bombieri's theorem in short intervals (1975) (45)
Primes in arithmetic progressions (1983) (44)
Power mean values of the Riemann zeta-function (1982) (43)
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes (1990) (43)
THE FIRST NEGATIVE HECKE EIGENVALUE (2007) (43)
Some mean-value theorems for exponential sums (1986) (41)
Critical zeros of Dirichlet L-functions (2011) (40)
Estimates for character sums (1993) (40)
On the error term in the linear sieve (1971) (38)
The divisor function over arithmetic progressions (1992) (37)
An Additive Divisor Problem (1982) (37)
Construction of a thin set with small fourier coefficients (1990) (37)
Class group $L$-functions (1995) (36)
Estimates for coefficients of L -functions. III (1994) (35)
The distribution of eigenvalues (2002) (32)
On Mean Values for Dirichlet's Polynomials and the Riemann Zeta‐Function (1980) (32)
The Goldbach problem (2004) (32)
Weyl Sums for Quadratic Roots (2011) (31)
Primes in short intervals (1984) (31)
The Sixth Power Moment of Dirichlet L-Functions (2007) (29)
The spin of prime ideals (2011) (28)
On zeros of Dirichlet'sL series (1974) (28)
Convolution $L$-series (1994) (27)
Hyperbolic prime number theorem (2009) (27)
Primes in short intervals (1979) (27)
Maass cusp forms. (1985) (26)
A mean-value theorem for character sums. (1992) (26)
Analytic Number Theory: The Brun–Titchmarsh Theorem (1997) (25)
Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II (1984) (25)
Using a parity-sensitive sieve to count prime values of a polynomial. (1997) (23)
The non-vanishing of Rankin-Selberg zeta functions at special points (1986) (22)
THE ILLUSORY SIEVE (2005) (21)
The orthogonality of Hecke eigenvalues (2007) (19)
On the Brun-Titchmarsh theorem (1982) (19)
The lowest eigenvalue for congruence groups (1996) (19)
The analytic continuation (2014) (19)
Sieve Methods, Exponential Sums, and their Applications in Number Theory: Representations by the Determinant and Mean Values of L -Functions (1997) (18)
On Waldspurger's theorem (1987) (16)
The limits of buchstab's iteration sieve (1979) (16)
On the Gauss mean-value formula for class number (1998) (16)
Asymptotic Large Sieve (2011) (15)
Exceptional characters and prime numbers in arithmetic progressions (2003) (15)
Ternary quadratic forms with rational zeros (2010) (15)
On Bombieri's asymptotic sieve (1978) (15)
Quadratic polynomials and quadratic forms (1978) (14)
A polynomial divisor problem (2006) (13)
Exceptional characters and prime numbers in short intervals (2004) (13)
Orders of CM elliptic curves modulo p with at most two primes (2010) (13)
On indefinite quadratic forms in four variables (1977) (13)
$P_2$ in short intervals (1981) (13)
Selberg's Lower Bound of the First Eigenvalue for Congruence Groups (1989) (13)
Cubic polynomials and quadratic forms (2010) (12)
Conversations on the Exceptional Character (2006) (12)
The sieve of Eratosthenes-Legendre (2010) (10)
Journées Arithmétiques 1980: Mean values for Fourier coefficients of cusp forms and sums of Kloosterman sums (1982) (10)
Density theorems for exceptional eigenvalues of the Laplacian for congruence groups (1985) (10)
On a multiplicative hybrid problem (1987) (10)
A subconvexity bound for Hecke L-functions (2001) (9)
On the distribution modulo one of the mean values of some arithmetical functions (2008) (8)
Character sums and small eigenvalues for Г0(p) (1985) (8)
EXCEPTIONAL DISCRIMINANTS ARE THE SUM OF A SQUARE AND A PRIME (2013) (8)
Gaussian sequences in arithmetic progressions (2007) (8)
Prime numbers and L-functions (2006) (7)
Square-free values of quadratic polynomials (2010) (7)
Critical zeros of lacunary $L$-functions (2016) (7)
Divisor weighted sums (2006) (7)
A note on Dirichlet L-functions (2017) (6)
Sums and differences of quartic norms (1993) (6)
The least prime in an arithmetic progression (2004) (5)
Erratum to: The spin of prime ideals (2015) (5)
On the order of (12 + it) (2018) (4)
Spectral Theory of Automorphic Functions and Recent Developments in Analytic Number Theory (2010) (4)
Elementary and analytic number theory (1999) (4)
Simultaneous non-vanishing for Dirichlet L-functions (2019) (4)
The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial (2018) (4)
The generalized Hardy-Littlewood's problem involving a quadratic polynomial with coprime discriminants (1975) (3)
Diophantine problems and polynomials (1999) (3)
On the Distribution of the Sequence n2θ (mod 1) (1987) (3)
Small Representations by Indefinite Ternary Quadratic Forms (2013) (3)
Some corrections to an old paper (2019) (3)
Coordinate distribution of Gaussian primes (2018) (3)
Note on a note of Goldston and Suriajaya (2021) (2)
The Dirichlet polynomials (2004) (2)
Reducing character sums to Kloosterman sums (2010) (2)
Recenzja: W. Narkiewicz, Elementary and analytic theory of algebraic numbers (2017) (2)
Elementary, analytic and geometric number theory (2007) (2)
Close encounters among the primes (2013) (2)
The Temptation of the Exceptional Characters (2017) (2)
The sixtieth birthday of Jean-Marc Deshouillers (2007) (2)
Automorphic Number Theory (2003) (2)
The circle method and pairs of quadratic forms (2010) (2)
Applications to linear sequences (2010) (2)
Exceptional zeros and the Goldbach problem (2021) (2)
The classical modular forms (1997) (2)
Small populations of zeros of L-functions (2013) (1)
Representations by quadratic forms (1997) (1)
Imaginary quadratic fields (2004) (1)
Twin primes via exceptional characters (2016) (1)
Sums over primes (2004) (1)
Automorphic forms in general (1997) (1)
On a theorem of Bredihin and Linnik (2018) (1)
The sixth moment of Dirichlet L-functions (2007) (1)
Spectral theory of automorphic forms (2004) (1)
Selberg’s sieve of irregular density (2022) (1)
The diagonal terms (2014) (1)
ON THE LOCAL-GLOBAL CONJECTURE FOR COMMUTATOR TRACES (2021) (1)
Small gaps between zeros of twisted L-functions (2012) (1)
Holomorphic modular forms (2004) (1)
Smooth bump functions (2014) (1)
CRITICAL ZEROS OF HECKE L-FUNCTIONS (2014) (0)
The second moment of Dirichlet polynomials (2014) (0)
Asymptotic sieve and the parity principle (2010) (0)
Equidistribution of quadratic roots (2010) (0)
Erratum to: The spin of prime ideals (2015) (0)
Erratum Bounds for automorphicL–functions. II (0)
Harmonic analysis on the Euclidean plane (2002) (0)
Level of distribution of arithmetic sequences (2010) (0)
The large sieve (2010) (0)
The automorphic Green function (2002) (0)
N T ] 1 3 Ja n 20 14 CLOSE ENCOUNTERS AMONG THE PRIMES (2020) (0)
Elementary theory of prime numbers (2004) (0)
QUADRATIC POLYNOMIALS AND QUADRATIC FORMS BY JOHN FRIEDLANDER and HENRYK IWANIEC (2006) (0)
Spectral bounds for cusp forms (2002) (0)
Number Theory in Progress: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997 (1999) (0)
Detecting critical zeros (2014) (0)
Cusp forms associated with elliptic curves (1997) (0)
The off-diagonal terms (2014) (0)
The Riemann memoir (2014) (0)
Sieving by many residue classes (2010) (0)
The argument variations (2014) (0)
Applications—Choice but not prime (2010) (0)
Panorama of arithmetic functions (2014) (0)
Central values of -functions (2004) (0)
Bounds for the Fourier coefficients of cusp forms (1997) (0)
Tchebyshev’s prime seeds (2014) (0)
Marching over Gaussian primes (2010) (0)
Spectral theory of Kloosterman sums (2002) (0)
Close encounters among the primes (2014) (0)
The spacing of zeros of the Riemann zeta-function (2004) (0)
Bilinear forms and the large sieve (2004) (0)
The functional equation (2014) (0)
Coffee Coffee Coffee Coffee Coffee 1100-1200 (2012) (0)
Sifting for small primes from an arithmetic progression (2023) (0)
Attaching a mollifier (2014) (0)
Positive proportion of the critical zeros (2014) (0)
Sums over finite fields (2004) (0)
The Littlewood lemma (2014) (0)
Molecular structure of sieve weights (2010) (0)
Zeros off the critical line (2014) (0)
The Sixth Power Moment of Dirichlet L-Functions (2012) (0)
Primes represented by polynomials (2010) (0)
Elementary considerations on arithmetic functions (2010) (0)
Letter from Henryk Iwaniec to S.-T. Yau Regarding the Work of Yitang Zhang (2013) (0)
Table of contents of Volume II (1999) (0)
Untangling upper-bound sieves (2013) (0)
Effective bounds for the class number (2004) (0)
The spectral theorem. Discrete part (2002) (0)
Analytic continuation of the Eisenstein series (2002) (0)
Exceptional zeros, sieve parity, Goldbach (2022) (0)
The asymptotic formula for () (2014) (0)
The trace formula (2002) (0)
Computations and the optimal mollifier (2014) (0)
Elementary sieve methods (2004) (0)
The principal inequality (2014) (0)
The circle method (2004) (0)
Very often, arguments from analytic number theory lead us next to study the weighted sums (2006) (0)
The large sieve with prime moduli (2022) (0)
The product formula over the zeros (2014) (0)
The beta-sieve (2010) (0)
Estimates for $L$-Functions Associated with Some Elliptic Curves (1996) (0)
Erratum to “Corrections to: Weyl Sums for Quadratic Roots” (2012) (0)
Hyperbolic lattice-point problems (2002) (0)
The gamma function (2014) (0)
The Eisenstein and the Poincaré series (1997) (0)
Almost-prime sieve (2010) (0)
Classical analytic theory of -functions (2004) (0)
The critical zeros of the Riemann zeta function (2004) (0)
Conrey’s construction (2014) (0)
Sieve principles and terminology (2010) (0)
Sums over Vanishing Determinants (2019) (0)
Sums of Kloosterman sums (2004) (0)
The spectral theorem. Continuous part (2002) (0)
Mean values of arithmetic functions (2010) (0)
The Euler–Maclaurin formula (2014) (0)
Differential-difference equations (2010) (0)
Estimates for the Fourier coefficients of Maass forms (2002) (0)
Harmonic analysis on the hyperbolic plane (2002) (0)
The first moment of Dirichlet polynomials (2014) (0)
Norms in Arithmetic Progressions (1990) (0)
The semi-linear sieve (2010) (0)
Zeros on the critical line (2014) (0)
The spin of prime ideals (2012) (0)
Automorphic forms associated with number fields (1997) (0)
Approximate functional equations (2014) (0)
Elementary prime number theorem (2014) (0)
The zero-free region and the PNT (2014) (0)
Zero-density estimates (2004) (0)
Preface, Participants, Contents (1985) (0)

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