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math.NT2018★ 2 cited
High pseudomoments of the Riemann zeta function
Ole Fredrik Brevig, Winston Heap
The pseudomoments of the Riemann zeta function, denoted , are defined as the th integral moments of the th partial sum of on the critical line. We i…
math.NT2015★ 3 cited
Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients
Ole Fredrik Brevig, Winston Heap
This note deals with the relationship between the abscissas of simple, uniform and absolute convergence for the Dirichlet series , when the coe…
math.NT2013★ 35 cited
On the Sidon Constant for Dirichlet Polynomials
Ole Fredrik Brevig
We estimate the error term in the asymptotic formula of the Sidon constant for (ordinary) Dirichlet polynomials by providing explicit lower and upper bounds. The lower bound is alr…