Burapha University

output

20072023

most citedWave and Particle in Molecular Interference Lithography

68 citations

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math.NT2013★ 38 cited

Bounding $S (t)$ and $S_{1} (t)$ on the Riemann hypothesis

Emanuel Carneiro, Vorrapan Chandee, Micah B. Milinovich

Let $π S (t)$ denote the argument of the Riemann zeta-function, $ζ (s)$ , at the point $s = \frac{1}{2} + i t$ . Assuming the Riemann hypothesis, we present two proofs of the bound $$ |S(t)|…

math.NT2013

The eighth moment of Dirichlet $L$ -functions

Vorrapan Chandee, Xiannan Li

We prove an asymptotic for the eighth moment of Dirichlet $L$ -functions averaged over primitive characters $χ$ modulo $q$ , over all moduli $q \leq Q$ and with a short average on the…

Bounding S(t) and S1​(t) on the Riemann hypothesis

The eighth moment of Dirichlet L-functions

Bounding $S (t)$ and $S_{1} (t)$ on the Riemann hypothesis

The eighth moment of Dirichlet $L$ -functions