Neea Palojarvi

activity

20182026

collaborators

6 papers

math.NT2026

Explicit and Effective Estimates for the error term in the Generalised Divisor Problem

Neea Palojärvi, Sebastian Tudzi

In this article, we obtain effective estimates for the error term $Δ_{k} (x)$ for all integers $k \geq 2$ , and completely explicit estimates for integers $k \in [3, 9]$ . The explicit…

math.NT2025

The error term of the fourth moment of the Riemann zeta-function

Neea Palojärvi, Benjamin Durkan, Tim Trudgian

We examine the size of $E_{2} (T)$ , the error term in the asymptotic formula for $\int_{0}^{T} ∣ ζ (1/2 + i t) ∣^{4} d t$ where $ζ (s)$ is the Riemann zeta-function. We reduce the power…

math.NT2024

Explicit estimates for the Goldbach summatory function

Gautami Bhowmik, Anne-Maria Ernvall-Hytönen, Neea Palojärvi

In order to study the analytic properties of the Goldbach generating function we consider a smooth version, similar to the Chebyshev function for the Prime Number Theorem. In this…

math.NT2024

Conditional estimates for $L$ -functions in the Selberg class II

Neea Palojärvi, Aleksander Simonič

Assuming the Generalized Riemann Hypothesis, we provide uniform upper and lower bounds with explicit main terms for $\log{\left|\cL(s)\right|}$ for $σ \in (1/2, 1)$ and for functions…

math.NT2021

A $p$ -adic lower bound for a linear form in logarithms

Neea Palojärvi, Louna Seppälä

Linear forms in logarithms have an important role in the theory of Diophantine equations. In this article, we prove explicit $p$ -adic lower bounds for linear forms in $p$ -adic loga…

math.NT2018

Explicit zero-free regions and a $τ$ -Li-type criterion

Neea Palojärvi

$τ$ -Li coefficients describe if a function satisfies the Generalized Riemann Hypothesis or not. In this paper we prove that certain values of the $τ$ -Li coefficients lead to existe…