Theta and Riemann xi function representations from harmonic oscillator eigensolutions
نویسندگان
چکیده
منابع مشابه
Theta and Riemann xi function representations from harmonic oscillator eigensolutions
From eigensolutions of the harmonic oscillator or Kepler-Coulomb Hamiltonian we extend the functional equation for the Riemann zeta function and develop integral representations for the Riemann xi function that is the completed classical zeta function. A key result provides a basis for generalizing the important Riemann-Siegel integral formula.
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2007
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.10.055