Essays about: "Prime Number Theorem"
Showing result 1 - 5 of 11 essays containing the words Prime Number Theorem.
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1. The Riemann Hypothesis and the Distribution of Primes
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : The aim of this thesis is to examine the connection between the Riemannhypothesis and the distribution of prime numbers. We first derive theanalytic continuation of the zeta function and prove some of its propertiesusing a functional equation. READ MORE
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2. The Riemann Zeta Function and Prime Numbers
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : This thesis is the result of a literature study regarding the relationship between the Riemann zeta function and prime numbers. We introduce the $\zeta$ function, discussing its properties. Then, starting from Riemann's original series, we derive the Euler product formula and functional equation for $\zeta$. READ MORE
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3. An operator theoretic approach to the Riemann Hypothesis
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE
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4. On The Prime Number Theorem
University essay from Uppsala universitet/Analys och sannolikhetsteoriAbstract : .... READ MORE
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5. The Implementation of the Frequency-Time Encoded Decoy-State Protocol with the Slow-Light Effect for Quantum Memories
University essay from Lunds universitet/Fysiska institutionen; Lunds universitet/AtomfysikAbstract : Quantum key distribution (QKD) is a secure encryption key generation process to be used by two users in the presence of an eavesdropper. The no-cloning theorem allows the sender "Alice" to securely send qubits with single photons to the receiver "Bob". READ MORE