منابع مشابه
Logarithmic Fourier integrals for the Riemann Zeta Function
We use symmetric Poisson-Schwarz formulas for analytic functions f in the half-plane Re(s) > 1 2 with f(s) = f(s) in order to derive factorisation theorems for the Riemann zeta function. We prove a variant of the Balazard-Saias-Yor theorem and obtain explicit formulas for functions which are important for the distribution of prime numbers. In contrast to Riemann’s classical explicit formula, th...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2008
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.01.037