Nawapan Wattanawanichkul

activity

20202026

collaborators

8 papers

math.NT2026

The $θ = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$ -functions

Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu

The $θ = \infty$ conjecture asserts that the mollified second moments of the Riemann zeta function remain bounded for mollifiers of arbitrary polynomial length. We investigate an ana…

math.NT2025

Zeros of Polynomials in Derivatives of Automorphic $L$ -functions

Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu

Let $F_{m}$ be the set of all cuspidal automorphic representations of $GL_{m} (A_{Q})$ , and let $F (s, π)$ be a polynomial in the derivati…

math.NT2025

A metric approach to zero-free regions for $L$ -functions

Nawapan Wattanawanichkul

For integers $m, m^{'} \geq 1$ , let $π$ and $π^{'}$ be cuspidal automorphic representations of $GL (m)$ and $GL (m^{'})$ , respectively. We present a new proof of zero-free re…

math.NT2024

Effective correlation and decorrelation for newforms, and weak subconvexity for $L$ -functions

Nawapan Wattanawanichkul

Let $f$ and $g$ be spectrally normalized holomorphic newforms of even weight $k \geq 2$ on $Γ_{0} (q)$ . If $f \neq = g$ , then assume that $q$ is squarefree. For a nice test function $ψ$ s…

math.NT2023

An Alternative Approach to Computing $β (2 k + 1)$

Naomi Tanabe, Nawapan Wattanawanichkul

This paper presents a new approach to evaluating the special values of the Dirichlet beta function, $β (2 k + 1)$ , where $k$ is any nonnegative integer. Our approach relies on some pro…

math.NT2022

Walking to Infinity on the Fibonacci Sequence

Steven J. Miller, Fei Peng, Tudor Popescu +1

An interesting open problem in number theory asks whether it is possible to walk to infinity on primes, where each term in the sequence has one more digit than the previous. In thi…

The θ=∞ Conjecture and the Riemann Hypothesis for Automorphic L-functions

Zeros of Polynomials in Derivatives of Automorphic L-functions

A metric approach to zero-free regions for L-functions

Effective correlation and decorrelation for newforms, and weak subconvexity for L-functions

An Alternative Approach to Computing β(2k+1)

Walking to Infinity on the Fibonacci Sequence

The $θ = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$ -functions

Zeros of Polynomials in Derivatives of Automorphic $L$ -functions

A metric approach to zero-free regions for $L$ -functions

Effective correlation and decorrelation for newforms, and weak subconvexity for $L$ -functions

An Alternative Approach to Computing $β (2 k + 1)$