Echoes From a Cobbled Street by David Hayes

Jürgen Ritter writes that, in the lecture, Hayes showed:. The singular series associated with a given additive problem is interpreted as a certain Radon- Nikodym derivative.Īt the conference on 'Number theory related to Fermat's last theorem' held at Cambridge, Massachusetts in 1981 he gave the lecture Elliptic units in function fields. The author proves a theorem analogous to the Goldbach conjecture that every even integer greater than 2 can be expressed as the sum of two primes. In 1965 he published A Goldbach theorem for polynomials with integral coefficients in the American Mathematical Monthly. This was not his first publication for he had published a 2-page paper A polynomial analog of the Goldbach conjecture in the Bulletin of the American Mathematical Society in 1963. The main results of his thesis were published in a paper in the Transactions of the American Mathematical Society in 1965. In it he studied the distribution of irreducibles in arithmetic progressions in a polynomial ring over a finite field. by Duke University in 1963 for his 86-page thesis The distribution of irreducibles in GF. The version I have is 277 pages long and divided into 29 chapters. My own copy, still readable in faded ditto purple, occupies a special place on my office bookshelf. These notes were neatly typed and reproduced by ditto machine, the leading-edge copying technique of that era. While a graduate student at Duke University in the early 1960s, I was privileged to take Leonard Carlitz's course 'The arithmetic of polynomials.' At the first class meeting, Leonard gave each student a detailed set of notes that served as a textbook for the course. with Leonard Carlitz as his thesis advisor. He remained at Duke University undertaking research for his Ph.D. Later that year he entered Duke University, in Durham, North Carolina, where he majored in mathematics for his Bachelor's Degree which he was awarded in 1959. David, like his father, attended Needham B Broughton High School in Raleigh, founded in 1929 and one of the oldest of the high schools in Wake County, graduating in the spring of 1955. In addition to their son David, the subject of this biography, Woody and Eleanor Hayes had three daughters: Sally Hayes (now Sally Stevens ), Betsy Hayes (now Betsy Hunt ), and Jenny Hayes (now Jenny Lewis ). wife Eleanor of fifty years, who raised four beautiful children while I was on the road. The autobiography is dedicated by Woodrow Hayes to his:. Woodrow Hayes was a musician playing for the Jimmy Poyners Orchestra and as the bandleader of the Woody Hayes Trio. Biography David Hayes's parents were Woodrow R Hayes and Eleanor Crocker.

Echoes From a Cobbled Street by David Hayes