Kannan Soundararajan | Academic Influence

Kannan Soundararajan's AcademicInfluence.com Rankings

Kannan Soundararajan

Mathematics

#553

World Rank

#1060

Historical Rank

#249

USA Rank

Complex Analysis

#23

World Rank

#36

Historical Rank

#10

USA Rank

Number Theory

#24

World Rank

#41

Historical Rank

#9

USA Rank

Measure Theory

#2778

World Rank

#3316

Historical Rank

#802

USA Rank

mathematics Degrees

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Mathematics

Kannan Soundararajan's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Stanford University

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Why Is Kannan Soundararajan Influential?

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According to Wikipedia, Kannan Soundararajan is an Indian-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan, where he had also pursued his undergraduate studies. His main research interest is in analytic number theory, particularly in the subfields of automorphic L-functions, and multiplicative number theory.

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Kannan Soundararajan'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

The Distribution of Prime Numbers (2006) (427)
Nonvanishing of quadratic Dirichlet L-functions at s=1/2 (1999) (229)
Moments of the Riemann zeta function (2006) (216)
Demography of Cirsium vulgare in a grazing experiment. (1994) (194)
Primes in Short Intervals (2004) (185)
Mass equidistribution for Hecke eigenforms (2008) (173)
Mean-values of the Riemann zeta-function (1995) (165)
Large character sums: Pretentious characters and the Pólya-Vinogradov theorem (2005) (142)
Quantum unique ergodicity for SL_2(Z)\H (2009) (134)
Extreme values of zeta and L-functions (2007) (107)
Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim (2006) (91)
Large character sums (1999) (91)
Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line (2016) (89)
Lower bounds for moments of L-functions. (2005) (84)
Moments and distribution of central $$L$$L-values of quadratic twists of elliptic curves (2014) (70)
Omega results for the divisor and circle problems (2003) (68)
Conditional bounds for the least quadratic non-residue and related problems (2013) (68)
On modular signs (2009) (66)
Unexpected biases in the distribution of consecutive primes (2016) (63)
The second moment of quadratic twists of modular L-functions (2009) (61)
Weak subconvexity for central values of $L$-functions (2008) (60)
SIEVING AND THE ERDŐS–KAC THEOREM (2007) (59)
Lower bounds for moments of L-functions: symplectic and orthogonal examples (2006) (58)
Decay of Mean Values of Multiplicative Functions (1999) (58)
CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA AND L -FUNCTIONS. (2012) (51)
Partial sums of the Möbius function (2007) (47)
On the distribution of imaginary parts of zeros of the Riemann zeta function, II (2004) (47)
Extreme values of $|ζ(1+it)|$ (2005) (46)
Zeros of Fekete polynomials (1999) (44)
Beyond pair correlation (2000) (41)
Critical zeros of Dirichlet L-functions (2011) (40)
Pretentious multiplicative functions and an inequality for the zeta-function (2006) (39)
Benford's Law for the 3x + 1 Function (2005) (38)
A rule of thumb for riffle shuffling (2009) (36)
Silent spread of dengue and dengue haemorrhagic fever to Coimbatore and Erode districts in Tamil Nadu, India, 1998: need for effective surveillance to monitor and control the disease (2000) (35)
Random multiplicative functions in short intervals (2010) (34)
On short sums of trace functions (2015) (32)
Lower bounds for moments of zeta and L$L$ ‐functions revisited (2020) (32)
Bounding |ζ(½+it)| on the Riemann hypothesis (2009) (31)
SELBERG’S CENTRAL LIMIT THEOREM FOR log |ζ( (2015) (31)
The Sixth Power Moment of Dirichlet L-Functions (2007) (29)
Divisibility of Class Numbers of Imaginary Quadratic Fields (2000) (28)
An uncertainty principle for arithmetic sequences (2004) (27)
A generalization of the Pólya–Vinogradov inequality (2013) (27)
Weak subconvexity without a Ramanujan hypothesis (2018) (27)
SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION (2019) (27)
The horizontal distribution of zeros of $\zeta\prime(s)$ (1998) (27)
The distribution of smooth numbers in arithmetic progressions (2007) (25)
Riemann hypothesis for period polynomials of modular forms (2016) (25)
Fourier optimization and prime gaps (2017) (25)
The prime geodesic theorem (2010) (23)
The fourth moment of Dirichlet L-functions (2005) (22)
A new proof of Halász’s theorem, and its consequences (2017) (22)
Upper Bounds for |L(1, k)| (2002) (22)
UPPER BOUNDS FOR |L(1, χ)| (2001) (21)
Counting smooth solutions to the equation A+B=C (2009) (19)
ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE RIEMANN ZETA-FUNCTION (1996) (18)
A Binary Additive Problem of Erdős and the Order of 2 mod p 2 (1998) (18)
Equidistribution of Zeros of Polynomials (2018) (18)
The variance of divisor sums in arithmetic progressions (2016) (17)
Fixed Points for Discrete Logarithms (2010) (17)
A Binary Additive Problem of Erdös and the Order of 2 mod p2 (1998) (17)
Degree 1 elements of the Selberg class (2003) (17)
Lower bounds for the variance of sequences in arithmetic progressions: primes and divisor functions (2016) (16)
The spectrum of multiplicative functions (1999) (16)
Approximating 1 from below using $n$ Egyptian fractions (2005) (15)
Asymptotic Large Sieve (2011) (15)
Mean values of multiplicative functions over function fields (2015) (15)
Smooth solutions to the abc equation: the xyz Conjecture (2009) (14)
Design of a Soil Moisture Sensing Unit for Smart Irrigation Application (2013) (13)
Two S-unit equations with many solutions (2006) (13)
Upper bounds for (2002) (13)
Large character sums: Burgess's theorem and zeros of $L$-functions (2015) (13)
Nonvanishing of quadratic Dirichlet -functions at . (2000) (12)
The number of imaginary quadratic fields with a given class number (2007) (12)
Strong Multiplicity One for the Selberg Class (2002) (12)
An asymptotic expansion related to the Dickman function (2010) (11)
NON-ZERO COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS MOD ` (2017) (11)
Nonzero coefficients of half-integral weight modular forms mod $$\ell $$ℓ (2017) (11)
Equidistribution from the Chinese Remainder Theorem (2020) (11)
Negative values of truncations to L(1 (2005) (10)
A more intuitive proof of a sharp version of Hal\'asz's theorem (2017) (9)
Transition mean values of real characters (1999) (9)
Selberg's central limit theorem for $\log |\zeta(\tfrac 12+it)|$ (2015) (8)
Partial sums of the M{\" o}bius function (2007) (8)
Extreme Values of Arg L(1, Χ) (2010) (7)
The number of unsieved integers up to $x$ (2003) (7)
On a conjecture of R. L. Graham (1996) (7)
On the additive completion of squares, II (1992) (6)
Smooth numbers in short intervals (2010) (6)
Corrigendum to "Conditional bounds for the least quadratic non-residue and related problems" (2017) (6)
Carries, Group Theory, and Additive Combinatorics (2013) (6)
Integral factorial ratios: irreducible examples with height larger than 1 (2019) (6)
The distribution of values of zeta and L-functions (2021) (5)
Towards the exact nature of a certain error term-II (1992) (5)
The Liouville function in short intervals [after Matomaki and Radziwill] (2016) (5)
An inequality for multiplicative functions (1992) (5)
A model problem for multiplicative chaos in number theory (2021) (5)
Large Fourier coefficients of half-integer weight modular forms (2020) (5)
The number of non-zero coefficients of modular forms (mod p) (2015) (5)
Riffle shuffles with biased cuts (2011) (4)
Quadratic twists of Dirichlet L-functions (1998) (4)
Tao’s resolution of the Erdős discrepancy problem (2017) (4)
The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial (2018) (4)
Almost all entries in the character table of the symmetric group are multiples of any given prime (2020) (4)
Integral factorial ratios (2019) (4)
Central limit theorems for random multiplicative functions (2022) (4)
Quantum Unique Ergodicity and Number Theory (2011) (4)
The number of nonzero coefficients of modular forms (modp) (2015) (4)
The structure of multiplicative functions with small partial sums (2019) (3)
Sieving and the Erd{\H o}s-Kac theorem (2006) (3)
Shapley Values in Weighted Voting Games with Random Weights (2016) (3)
Exponential sums, twisted multiplicativity and moments (2021) (2)
THE LEAST QUADRATIC NON-RESIDUE, VALUES OF L-FUNCTIONS AT s = 1, AND RELATED PROBLEMS (2012) (2)
Motivating the Multiplicative Spectrum (1999) (2)
Symplectic and Orthogonal Examples (2006) (2)
Riffle shuffles of a deck with repeated cards (2009) (2)
The distribution of values of L(1,chi_d) (2002) (1)
Small gaps between zeros of twisted L-functions (2012) (1)
The distribution of consecutive prime biases and sums of sawtooth random variables (2017) (1)
Primes in a Sparse Sequence (1993) (1)
The sixth moment of Dirichlet L-functions (2007) (1)
Extreme values of $|\zeta(1+it)|$ (2005) (1)
Many solutions to the S-unit equation a+1=c\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a + 1 = c$$\end{document} (2019) (1)
Negative values of truncations to $L(1,\chi)$ (2005) (0)
Coffee Coffee Coffee Coffee Coffee 1100-1200 (2012) (0)
PROSPECTS OF JACKFRUIT CULTIVATORS IN TAMILNADU-AN ANALYSIS (2014) (0)
Maximal Sets of Integers with Distinct Divisors (1995) (0)
PROBLEMS AND PROSPECTS OF JACKFRUIT CULTIVATORS - A STUDY WITH REFERENCE TO TAMILNADU (2014) (0)
Common divisors of totients of polynomial sequences (2019) (0)
N ov 1 99 9 DECAY OF MEAN-VALUES OF MULTIPLICATIVE FUNCTIONS (2008) (0)
K. Ramachandra: Reminiscences of his Friends. (2013) (0)
Communications in Mathematical Physics Primes in Short Intervals (2004) (0)
Algebra & Number Theory (2015) (0)
A supplement to Chebotarev's density theorem (2022) (0)
Integers represented by ternary quadratic forms (1999) (0)
A generalization of the Pólya–Vinogradov inequality (2013) (0)
Tables of Contents (2011) (0)
The Sixth Power Moment of Dirichlet L-Functions (2012) (0)
2 STRONG MULTIPLICITY ONE FOR THE SELBERG CLASS (2002) (0)
An asymptotic expansion related to the Dickman function (2011) (0)
Shapley values in random weighted voting games (2016) (0)
The SUMO Speaker Series for Undergraduates (2011) (0)
DIRICHLET’S THEOREM ON PRIMES IN PROGRESSIONS, IV (2008) (0)
N T ] 1 J un 2 00 6 SIEVING AND THE ERDŐS-KAC THEOREM (2018) (0)
Nonzero coefficients of half-integral weight modular forms mod ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $ (2018) (0)
DIRICHLET’S THEOREM ON PRIMES IN PROGRESSIONS, IV (2008) (0)
Solutions-Problem set 3 (2010) (0)
Mean values of multiplicative functions over function fields (2015) (0)
Upper bounds for |L(1,chi)| (2001) (0)
Finite Fields, with Applications to Combinatorics (2022) (0)
The work of James Maynard (2022) (0)
Multiplicative functions in arithmetic progressions (2013) (0)
Information and announcements (2012) (0)
Note on a paper by A. Granville and K. Soundararajan (2019) (0)
Restriction of Hecke Eigenforms to Horocycles (2017) (0)
Divisibility of character values of the symmetric group by prime powers (2023) (0)
Bertrand's postulate and the existence of finite fields (2020) (0)
A ug 2 00 5 NEGATIVE VALUES OF TRUNCATIONS TO L ( 1 , χ ) (2022) (0)
EXPONENTIAL SUMS WITH MULTIPLICATIVE COEFFICIENTS (2007) (0)
Port and Walnuts (2007) (0)

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