Neea Palojarvi

collaborators

4 papers

math.NT2026

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

Neea PalojÃ¤rvi, Sebastian Tudzi

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

math.NT2025

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

Neea PalojÃ¤rvi, Tim Trudgian

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

math.NT2025

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

Neea PalojÃ¤rvi, Aleksander SimoniÄ

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

math.NT2025

Explicit estimates for the Goldbach summatory function

Gautami Bhowmik, Anne-Maria Ernvall-HytÃ¶nen, Neea PalojÃ¤rvi

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…

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

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

Conditional estimates for L-functions in the Selberg class II

Explicit estimates for the Goldbach summatory function

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