What is he best known for?
The fields of study he is best known for:
- Algebra
- Number theory
- Mathematical analysis
Combinatorics, Riemann hypothesis, Riemann Xi function, Pure mathematics and Character are his primary areas of study.
Combinatorics is closely attributed to Distribution in his work.
His research integrates issues of Arithmetic zeta function and Explicit formulae in his study of Riemann Xi function.
His work in the fields of Pure mathematics, such as Number theory and Conjecture, intersects with other areas such as Modular design.
His work on Character sum and Character group as part of general Character research is frequently linked to Brauer's theorem on induced characters, bridging the gap between disciplines.
His study in Character sum is interdisciplinary in nature, drawing from both Simple, Upper and lower bounds and Bounded function.
His most cited work include:
- Demography of Cirsium vulgare in a grazing experiment. (275 citations)
- Moments of the Riemann zeta function (165 citations)
- The distribution of values of L(1, χ d ) (143 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Combinatorics, Pure mathematics, Discrete mathematics, Riemann hypothesis and Conjecture.
The Combinatorics study combines topics in areas such as Upper and lower bounds and Character.
His work deals with themes such as Selberg class, Zero, Conductor and Degree, which intersect with Pure mathematics.
His Discrete mathematics study combines topics from a wide range of disciplines, such as Multiplicative function and Additive function.
Kannan Soundararajan interconnects Asymptotic formula, Riemann zeta function and Critical line in the investigation of issues within Riemann hypothesis.
The concepts of his Riemann Xi function study are interwoven with issues in Arithmetic zeta function and Explicit formulae.
He most often published in these fields:
- Combinatorics (50.30%)
- Pure mathematics (31.14%)
- Discrete mathematics (25.15%)
What were the highlights of his more recent work (between 2015-2021)?
- Combinatorics (50.30%)
- Conjecture (16.17%)
- Pure mathematics (31.14%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Conjecture, Pure mathematics, Discrete mathematics and Riemann hypothesis.
Kannan Soundararajan combines subjects such as Chinese remainder theorem, Residue and Modular form with his study of Combinatorics.
His Conjecture research is multidisciplinary, incorporating perspectives in Polynomial, Large sieve, Riemann zeta function, Critical line and Symmetric group.
The various areas that he examines in his Pure mathematics study include Zero, Bounded function and Fourier transform.
His Prime number study in the realm of Discrete mathematics interacts with subjects such as Liouville function.
His Riemann hypothesis study combines topics in areas such as Character, Modulo and Dirichlet character.
Between 2015 and 2021, his most popular works were:
- Maximum of the Riemann zeta function on a short interval of the critical line (45 citations)
- Unexpected biases in the distribution of consecutive primes. (31 citations)
- Riemann hypothesis for period polynomials of modular forms (23 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Number theory
Kannan Soundararajan mostly deals with Critical line, Riemann zeta function, Pure mathematics, Conjecture and Combinatorics.
His Critical line course of study focuses on Measure and Order and Order.
His research in Pure mathematics intersects with topics in Zero and Fourier transform.
In his work, Riemann hypothesis is strongly intertwined with Connection, which is a subfield of Fourier transform.
Kannan Soundararajan has included themes like Large sieve, Divisor and Moduli in his Conjecture study.
His Combinatorics research incorporates elements of Period and Modular form, Algebra.
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