John Friedlander | Academic Influence

John Friedlander's AcademicInfluence.com Rankings

John Friedlander

Mathematics

#1412

World Rank

#2328

Historical Rank

Measure Theory

#3182

World Rank

#3768

Historical Rank

mathematics Degrees

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Mathematics

John Friedlander's Degrees

PhD Mathematics Princeton University

Why Is John Friedlander Influential?

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According to Wikipedia, John Friedlander is a Canadian mathematician specializing in analytic number theory. He received his B.Sc. from the University of Toronto in 1965, an M.A. from the University of Waterloo in 1966, and a Ph.D. from Pennsylvania State University in 1972. He was a lecturer at M.I.T. in 1974–76, and has been on the faculty of the University of Toronto since 1977, where he served as Chair during 1987–91. He has also spent several years at the Institute for Advanced Study. In addition to his individual work, he has been notable for his collaborations with other well-known number theorists, including Enrico Bombieri, William Duke, Andrew Granville, and especially Henryk Iwaniec.

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John Friedlander'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

Primes in arithmetic progressions to large moduli (1989) (276)
The subconvexity problem for Artin L–functions (2002) (173)
The polynomial $X^2+Y^4$ captures its primes (1998) (160)
Bounds for automorphic L-functions (2005) (156)
Equidistribution of roots of a quadratic congruence to prime moduli (1995) (112)
Incomplete Kloosterman sums and a divisor problem (1985) (103)
A quadratic divisor problem (1994) (99)
On the statistical properties of Diffie-Hellman distributions (2000) (93)
Limitations to the equi-distribution of primes I (1989) (88)
Bounds for automorphicL-functions (1993) (83)
Character sums with exponential functions (2000) (80)
Primes in arithmetic progressions to large Moduli. II (1987) (78)
Bilinear forms with Kloosterman fractions (1997) (74)
Bounds for automorphic L–functions. III (2001) (70)
Contributions to zero-sum problems (2006) (70)
The divisor problem for arithmetic progressions (1985) (68)
Period of the power generator and small values of Carmichael's function (2001) (67)
Asymptotic sieve for primes. (1998) (63)
An arithmetic characterization of the rational homotopy groups of certain spaces (1979) (60)
Summation Formulae for Coefficients of L-functions (2005) (59)
Primes in arithmetic progressions to large moduli. III (1989) (55)
Bounds for automorphicL-functions. II (1993) (52)
Some doubly exponential sums over Z[m] (2002) (49)
On the distribution of the power generator (2001) (48)
On Certain Exponential Sums and the Distribution of Diffie–Hellman Triples (1999) (46)
On the Brun-Titchmarsh Theorem (1989) (45)
Integers Free From Large and Small Primes (1976) (45)
Erratum to: Bounds for automorphic L–functions. II (2000) (45)
VARIANCE OF DISTRIBUTION OF PRIMES IN RESIDUE CLASSES (1996) (40)
Estimates for character sums (1993) (40)
Class numbers and quadratic residues (1976) (39)
Oscillation theorems for primes in arithmetic progressions and for sifting functions (1991) (39)
A hybrid of theorems of Vinogradov and Piatetski-Shapiro. (1992) (38)
Bounds for L-Functions (1995) (38)
Multiplicative Structure of Values of the Euler Function (2004) (36)
Class group $L$-functions (1995) (36)
Exponential sums over Mersenne numbers (2004) (32)
Weyl Sums for Quadratic Roots (2011) (31)
SOME SINGULAR SERIES AVERAGES AND THE DISTRIBUTION OF GOLDBACH NUMBERS IN SHORT INTERVALS (1995) (30)
On the Distribution of the RSA Generator (1998) (30)
The spin of prime ideals (2011) (28)
Hyperbolic prime number theorem (2009) (27)
Double exponential sums over thin sets (2000) (27)
A mean-value theorem for character sums. (1992) (26)
Analytic Number Theory: The Brun–Titchmarsh Theorem (1997) (25)
On the distribution in short intervals of integers having no large prime factor (1987) (25)
On the Distribution of Diffie-Hellman Triples with Sparse Exponents (2001) (24)
Double character sums over elliptic curves and finite fields (2006) (23)
Using a parity-sensitive sieve to count prime values of a polynomial. (1997) (23)
Limitations to the equi-distribution of primes. IV (1991) (22)
Products in residue classes (2007) (21)
THE ILLUSORY SIEVE (2005) (21)
Sieve Methods, Exponential Sums, and their Applications in Number Theory: Representations by the Determinant and Mean Values of L -Functions (1997) (18)
Dirichlet polynomial approximations to zeta functions (1995) (17)
Sifting short intervals (1982) (16)
Ternary quadratic forms with rational zeros (2010) (15)
On Bombieri's asymptotic sieve (1978) (15)
Exceptional characters and prime numbers in arithmetic progressions (2003) (15)
Quadratic polynomials and quadratic forms (1978) (14)
On the distribution of the power generator modulo a prime power (2000) (13)
A polynomial divisor problem (2006) (13)
Exceptional characters and prime numbers in short intervals (2004) (13)
Smoothing ‘smooth’ numbers (1993) (13)
EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS (2012) (12)
On The Correlation Of Binary M-sequences (1999) (11)
Coincidences in the values of the Euler and Carmichael functions (2006) (11)
Primes in Arithmetic Progressions and Related Topics (1987) (10)
Binary Egyptian Fractions (2000) (9)
Least totient in a residue class (2008) (9)
Note on a variance in the distribution of primes (1999) (9)
Gaussian sequences in arithmetic progressions (2007) (8)
Incomplete exponential sums and Diffie–Hellman triples (2006) (8)
On the class numbers of certain quadratic extensions (1976) (8)
Integers without large prime factors, II (1981) (8)
EXCEPTIONAL DISCRIMINANTS ARE THE SUM OF A SQUARE AND A PRIME (2013) (8)
Sums of Three or More Primes (1997) (8)
Sifting short intervals II (1982) (8)
Character sums over shifted primes (2010) (7)
On the number of ideals free from large prime divisors. (1972) (7)
Distinct representatives, varieties and rational homotopy (1979) (7)
Divisor weighted sums (2006) (7)
On Waring's problem: two squares and three biquadrates (2012) (7)
Square-free values of quadratic polynomials (2010) (7)
Character sums with exponential functions over smooth numbers (2006) (7)
On characters and polynomials (1973) (6)
Finding the group structure of elliptic curves over finite fields (2005) (6)
A note on Dirichlet L-functions (2017) (6)
Residue classes having tardy totients (2007) (6)
ON THE IRRATIONALITY OF A DIVISOR FUNCTION SERIES (2007) (5)
On strings of consecutive integers with a distinct number of prime factors (2008) (5)
The least prime in an arithmetic progression (2004) (5)
Small Values of the Carmichael Function and Cryptographic Applications (2001) (5)
Integers without divisors from a fixed arithmetic progression (2006) (5)
Erratum to: The spin of prime ideals (2015) (5)
on the value set of the Carmichael λ-function (2007) (5)
Corrigendum to: ``Period of the power generator and small values of Carmichael's function'' [Math. Comp. 70 (2001), no. 236, 1591--1605; MR1836921 (2002g:11112)] (2002) (4)
Least totient in a residue class (2007) (4)
Some remarks on L-functions and class numbers (1976) (4)
Producing Prime Numbers via Sieve Methods (2006) (4)
Simultaneous Diophantine Approximation Using Primes (1988) (4)
Moments of sifted sequences (1984) (4)
On the Least kth Power Non‐Residue in an Algebraic Number Field (1973) (4)
Estimates for prime ideals (1980) (4)
On exact coverings of the integers (1972) (4)
Fractional parts of sequences (1989) (3)
On the Distribution of the Sequence n2θ (mod 1) (1987) (3)
Some doubly exponential sums over Z (3)
Small Representations by Indefinite Ternary Quadratic Forms (2013) (3)
Elliptic Twin Prime Conjecture (2009) (3)
Some corrections to an old paper (2019) (3)
COUNTING INTEGERS WITH A SMOOTH TOTIENT (2018) (3)
Coordinate distribution of Gaussian primes (2018) (3)
On the density of some special primes (2009) (3)
Applications to linear sequences (2010) (2)
Integers without large prime factors (1973) (2)
The Temptation of the Exceptional Characters (2017) (2)
Certain hypotheses concerning $L$-functions. (1977) (2)
Reducing character sums to Kloosterman sums (2010) (2)
A Budget of Boxes (1980) (2)
Exceptional zeros and the Goldbach problem (2021) (2)
Close encounters among the primes (2013) (2)
Note on a note of Goldston and Suriajaya (2021) (2)
Polynomial Gauss sums (2005) (2)
UNIFORM DISTRIBUTION, EXPONENTIAL SUMS, AND CRYPTOGRAPHY (2007) (2)
A note on primitive roots in finite fields (1972) (1)
Selberg’s sieve of irregular density (2022) (1)
Twin primes via exceptional characters (2016) (1)
Counting Primes in Arithmetic Progressions (2015) (1)
Enumeration of certain varieties over a finite field (2014) (1)
On a theorem of Bredihin and Linnik (2018) (1)
Integers without large prime factors III (1984) (1)
Character Sums in Quadratic Fields (1974) (1)
Very often, arguments from analytic number theory lead us next to study the weighted sums (2006) (0)
Maximal sets of integers with small common divisors (1971) (0)
Applications—Choice but not prime (2010) (0)
Sieving by many residue classes (2010) (0)
Equidistribution of quadratic roots (2010) (0)
The large sieve (2010) (0)
Level of distribution of arithmetic sequences (2010) (0)
Untangling upper-bound sieves (2013) (0)
Close encounters among the primes (2014) (0)
The spin of prime ideals (2012) (0)
Norms in Arithmetic Progressions (1990) (0)
Some Problems in Multiplicative and Additive Number Theory (2020) (0)
The semi-linear sieve (2010) (0)
Erratum Bounds for automorphicL–functions. II (0)
Asymptotic sieve and the parity principle (2010) (0)
Sifting for small primes from an arithmetic progression (2023) (0)
Mathematical Proceedings of the (2006) (0)
Differential-difference equations (2010) (0)
Sums over Vanishing Determinants (2019) (0)
Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (2006) (0)
Corrigendum Least totient in a residue class (2008) (0)
Molecular structure of sieve weights (2010) (0)
Marching over Gaussian primes (2010) (0)
Primes represented by polynomials (2010) (0)
Almost-prime sieve (2010) (0)
Small values of zeta-functions of quadratic fields. (1978) (0)
Elementary considerations on arithmetic functions (2010) (0)
Exceptional zeros, sieve parity, Goldbach (2022) (0)
Mean values of arithmetic functions (2010) (0)
Erratum to “Corrections to: Weyl Sums for Quadratic Roots” (2012) (0)
The beta-sieve (2010) (0)
Sieve principles and terminology (2010) (0)
Erratum to: The spin of prime ideals (2015) (0)
Notes on Chebyshev's method (1985) (0)

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