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Kannan Soundararajan

Kannan Soundararajan

D-Index & Metrics

Mathematics

D-Index
40
Citations
5315
World Ranking
2092
National Ranking
883

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to analytic number theory.

Overview

Kannan Soundararajan is affiliated with Stanford University in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with a notable focus on subfields such as Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics, Geometry and Topology, and Computer Vision and Pattern Recognition.

Their main topics of research cover a range of areas including:

  • Analytic Number Theory Research
  • Advanced Mathematical Identities
  • Limits and Structures in Graph Theory
  • Coding theory and cryptography
  • Algebraic Geometry and Number Theory
  • Mathematical Dynamics and Fractals
  • Finite Group Theory Research

Recent publications by Kannan Soundararajan include the following:

  • "Central limit theorems for random multiplicative functions," 2023, Journal d Analyse Mathématique
  • "Productivity and quality improvement through DMAIC in SME," 2020, International Journal of Productivity and Quality Management

Other notable papers closely associated with coauthors in their scholarly network are:

  • "Lower bounds for moments of zeta and L-functions revisited," 2022, Mathematika
  • "Lower bounds for moments of zeta and $L$-functions revisited," 2020, arXiv (Cornell University)
  • "Almost all entries in the character table of the symmetric group are multiples of any given prime," 2022, Journal für die reine und angewandte Mathematik (Crelles Journal)

Frequent collaborators in Soundararajan's research include Sarah Peluse, Winston Heap, Max Wenqiang Xu, K. Janardhan Reddy, and Emmanuel Kowalski.

The venues in which they have regularly published comprise:

  • arXiv (Cornell University)
  • Mathematika
  • Journal d Analyse Mathématique
  • International Journal of Productivity and Quality Management
  • Advances in Mathematics

Soundararajan has contributed to book publications as well, including a work published by the American Mathematical Society titled Finite Fields, with Applications to Combinatorics (2022).

Awards granted to Soundararajan include the designation of Fellow of the American Mathematical Society in 2018, recognizing contributions to analytic number theory.

Best Publications

  • Demography of Cirsium vulgare in a grazing experiment.

    Kannan Soundararajan

  • Moments of the Riemann zeta function

    Kannan Soundararajan

  • The distribution of values of L(1, χ d )

    Andrew Granville;K. Soundararajan

  • Large character sums: Pretentious characters and the Pólya-Vinogradov theorem

    Andrew Granville;Kannan Soundararajan;Kannan Soundararajan

  • Mass equidistribution for Hecke eigenforms

    Roman Holowinsky;Kannan Soundararajan

  • Extreme values of zeta and L-functions

    K. Soundararajan

  • Quantum unique ergodicity for SL2 (Z) H

    Kannan Soundararajan

  • Mean-values of the Riemann zeta-function

    K. Soundararajan

  • Omega results for the divisor and circle problems

    Kannan Soundararajan

  • Divisibility of Class Numbers of Imaginary Quadratic Fields

    K. Soundararajan

  • Primes in short intervals

    Hugh L. Montgomery;K. Soundararajan

  • Large character sums

    Andrew Granville;K. Soundararajan;K. Soundararajan

  • Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim

    K. Soundararajan;K. Soundararajan

  • Moments and distribution of central $$L$$ L -values of quadratic twists of elliptic curves

    Maksym Radziwiłł;K. Soundararajan

  • Lower bounds for moments of L-functions

    Z. Rudnick;K. Soundararajan

  • On modular signs

    E. Kowalski;Y.-K. Lau;Kannan Soundararajan;J. Wu

  • Maximum of the Riemann zeta function on a short interval of the critical line

    Louis Pierre Arguin;David Belius;Paul Bourgade;Maksym Radziwiłł

  • CONDITIONAL BOUNDS FOR THE LEAST QUADRATIC NON-RESIDUE AND RELATED PROBLEMS

    Youness Lamzouri;Xiannan Li;Kannan Soundararajan

  • Ramanujan's ternary quadratic form

    Ken Ono;K. Soundararajan

  • Decay of Mean Values of Multiplicative Functions

    Andrew Granville;K. Soundararajan

  • Nonvanishing of quadratic Dirichlet L-functions at s=1/2

    K. Soundararajan

Frequent Co-Authors

Andrew Granville
Andrew Granville University of Montreal
Henryk Iwaniec
Henryk Iwaniec Rutgers, The State University of New Jersey
Persi Diaconis
Persi Diaconis Stanford University
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
Ken Ono
Ken Ono University of Virginia
Sourav Chatterjee
Sourav Chatterjee Stanford University
Hugh L. Montgomery
Hugh L. Montgomery University of Michigan–Ann Arbor
Zeév Rudnick
Zeév Rudnick Tel Aviv University
Ben Green
Ben Green University of Oxford

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