Dhir Patel
Mathematics · The Ohio State University
Publications
11
Citations
65
Est. group size
—
Recurring co-author estimate
Active years
52
Publishing since 1973
Dhir Patel works in analytic number theory, a branch of mathematics that studies the distribution of prime numbers and related functions using tools from calculus and complex analysis. Much of the recent work focuses on establishing precise numerical (explicit) bounds on the Riemann zeta function, a central object connecting number theory to complex analysis. Earlier work also touched on algebraic structures called numerical monoids and on properties of random polynomials.
Publication activity has been intermittent but steady over the last decade, with small clusters of one to two papers appearing every few years rather than a continuous yearly output.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- An explicit sub-Weyl bound for ζ(1/2 + it)
Journal of Number Theory · 2024
- An explicit sub-Weyl bound for $ζ(1/2 + it)$
arXiv (Cornell University) · 2023
- An explicit upper bound for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si6.svg"><mml:mrow><mml:mo>|</mml:mo><mml:mi>ζ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow></mml:math>
Indagationes Mathematicae · 2022
- An Explicit Upper Bound for $|\zeta(1+it)|$
arXiv (Cornell University) · 2020
- An Explicit Upper Bound for $|ζ(1+it)|$
arXiv (Cornell University) · 2020
- The catenary degrees of elements in numerical monoids generated by arithmetic sequences
Communications in Algebra · 2017
- The expected number of complex zeros of complex random polynomials
Illinois Journal of Mathematics · 2017
- arXiv (Cornell University)×4
- Journal of Number Theory×2
- Indagationes Mathematicae×1
- Communications in Algebra×1
- Illinois Journal of Mathematics×1
- Ghaith A. Hiary
Mathematics · The Ohio State University
- Trevor D. Wooley
Mathematics · Purdue University West Lafayette
- Alisa Sedunova
Mathematics · Purdue University West Lafayette
- Anurag Sahay
Mathematics · Purdue University West Lafayette
- Zhining Wei
Mathematics · The Ohio State University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile