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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
The Distribution Of The Greatest Common Divisor Of Elements In Quadratic Integer Rings, Asimina S. Hamakiotes
The Distribution Of The Greatest Common Divisor Of Elements In Quadratic Integer Rings, Asimina S. Hamakiotes
Student Theses and Dissertations
For a pair of quadratic integers n and m chosen randomly, uniformly, and independently from the set of quadratic integers of norm x or less, we calculate the probability that the greatest common divisor of (n,m) is k. We also calculate the expected norm of the greatest common divisor (n,m) as x tends to infinity, with explicit error terms. We determine the probability and expected norm of the greatest common divisor for quadratic integer rings that are unique factorization domains. We also outline a method to determine the probability and expected norm of the greatest …
Volatility Analysis Of Us Equity And Federal Funds Markets Through The Recent Financial Crisis And Recovery Periods, Based On Release Of Fomc Meeting Statements And Minutes, Hanxiao Yue
Student Theses and Dissertations
The Federal Open Market Committee (FOMC) is the principal maker of monetary policy in the United States. The main instrument of monetary policy is the target federal funds rate, which is de facto the base interest rate of the US economy. The FOMC meets around eight times a year to discuss the economic outlook and decide on this metric. Throughout most of its history, the Fed has been opaque about how it decides on monetary policy, but in recent years it has adopted a more transparent disclosure policy. For each FOMC meeting, it currently releases a brief statement immediately after …