Kannan Soundararajan

Algebra and Number Theory · 2001–2020

A researcher in the Science corpus: 24 papers; trusts 41 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 73 citations into it; #17 of 2,864 by trust here, #57 by citations
• Mathematical Physics — 68 citations into it; #729 of 8,562 by trust here, #975 by citations
• Geometry and Topology — 34 citations into it; #248 of 7,422 by trust here, #1,119 by citations
• Discrete Mathematics and Combinatorics — 24 citations into it; #474 of 2,017 by trust here, #284 by citations
• Applied Mathematics — 14 citations into it; #627 of 7,620 by trust here, #2,192 by citations
• Statistical and Nonlinear Physics — 7 citations into it
• Statistics and Probability — 6 citations into it

Whom Kannan Soundararajan trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. R. Holowinsky
2. Henryk Iwaniec
3. P. Michel
4. Elon Lindenstrauss
5. Z. Rudnick
6. Jon P Keating
7. Gergely Harcos
8. Peter Sarnak
9. D. Goldston
10. Hugh Montgomery

Who trusts Kannan Soundararajan overall

1. Adam J Harper
2. Paul D. Nelson
3. Alexandra Florea
4. L. Arguin
5. Christoph Aistleitner
6. Nathan Ng
7. Andriy V. Bondarenko
8. P. Bourgade
9. D. Goldston
10. Maksym Radziwill

Papers from Kannan Soundararajan's perspective

Ordered by how strongly the researchers Kannan Soundararajan trusts endorse each paper. Same corpus, a different order for every researcher.

1. Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity
2. Random Matrix Theory and L-Functions at s= 1/2
3. The subconvexity problem for GL2
4. Invariant measures and arithmetic quantum unique ergodicity
5. Weak subconvexity for central values of $L$-functions
6. Perspectives on the Analytic Theory of L-Functions
7. Multiple Dirichlet Series and Moments of Zeta and L-Functions (Compositio Mathematica)
8. Arithmetic Quantum Chaos
9. Random Matrices
10. Upper and lower bounds at s = 1 for certain Dirichlet series with Euler product

Their papers

• Lower bounds for moments of zeta and $L$-functions revisited (2020) — 63 citations
• SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION (2019) — 47 citations
• Weak subconvexity without a Ramanujan hypothesis (2018) — 51 citations
• Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line (2016) — 107 citations
• Moments and distribution of central L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L$$\end{document}-values of quadr (2014) — 69 citations
• CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA AND L -FUNCTIONS. (2012) — 70 citations
• Quantum unique ergodicity for SL_2(Z)\H (2009) — 166 citations
• On modular signs (2009) — 88 citations
• The second moment of quadratic twists of modular L-functions (2009) — 92 citations
• Weak subconvexity for central values of $L$-functions (2008) — 69 citations
• Mass equidistribution for Hecke eigenforms (2008) — 203 citations
• SIEVING AND THE ERDŐS–KAC THEOREM (2007) — 64 citations
• Partial sums of the Möbius function (2007) — 52 citations
• Extreme values of zeta and L-functions (2007) — 141 citations
• The Distribution of Prime Numbers (2006) — 588 citations
• Moments of the Riemann zeta function (2006) — 294 citations
• Lower bounds for moments of L-functions: symplectic and orthogonal examples (2006) — 75 citations
• Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim (2006) — 98 citations
• Large character sums: Pretentious characters and the Pólya-Vinogradov theorem (2005) — 171 citations
• On the distribution of imaginary parts of zeros of the Riemann zeta function, II (2004) — 52 citations