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On The Theory Of Zeta-Functions And L-Functions, Almuatazbellah Awan
On The Theory Of Zeta-Functions And L-Functions, Almuatazbellah Awan
Electronic Theses and Dissertations
In this thesis we provide a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results regarding Hurwitz and Lerch functions, as well as Dirichlet's L-function. We have also investigated some fundamental concepts related to these functions and their universality properties. In addition, we also discuss different formulations and approaches to the proof of the Prime Number Theorem and the Riemann Hypothesis. These two topics constitute the main theme of this thesis. For the Prime Number Theorem, we provide a thorough discussion that compares and contrasts …
An Introduction To Hellmann-Feynman Theory, David Wallace
An Introduction To Hellmann-Feynman Theory, David Wallace
Electronic Theses and Dissertations
The Hellmann-Feynman theorem is presented together with certain allied theorems. The origin of the Hellmann-Feynman theorem in quantum physical chemistry is described. The theorem is stated with proof and with discussion of applicability and reliability. Some adaptations of the theorem to the study of the variation of zeros of special functions and orthogonal polynomials are surveyed. Possible extensions are discussed.