#9,196

Most Influential Person Now

Indian mathematician

Kannan Soundararajanmathematics Degrees

Mathematics

#474

World Rank

#932

Historical Rank

#214

USA Rank

Complex Analysis

#23

World Rank

#36

Historical Rank

#10

USA Rank

Number Theory

#22

World Rank

#39

Historical Rank

#9

USA Rank

Measure Theory

#2784

World Rank

#3320

Historical Rank

#780

USA Rank

Mathematics

- PhD Mathematics Princeton University
- Bachelors Mathematics Stanford University

According to Wikipedia, Kannan Soundararajan is an India-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 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.

- 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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