John Albert Ewell III

at CAARMS 9 June 2003

Born: February 28, 1928 - July 21, 2007

Birthplace: Newellton, Louisiana

B.A. in Chemistry (Morehouse College-1948); M.S. in Mathematics (1955) University of California at Los Angeles

Ph.D. University
of California, Los Angeles 1966

thesis: *On the Determination of Sets by Sets of Sums of Fixed
Order*; Advisor: Ernst Straus

Research Interests: Number Theory

John Albert Ewell earned a B.A. in Chemistry (Morehouse College-1948), and was a graduate student in Physical-Chemistry (University of Colorado,1949-51). He earned, from the University of California at Los Angeles, an M.S. (1955) and a Ph.D. (1966) in Mathematics. From 1955 to 1970, he held the position of Assistant Professor of Mathematics at Southern University, California State University Long Beach, and York University Ontario, Canada. In 1970, Dr. Ewell became Associate Professor at California State University Sonoma. From 1973 to 1998 he taught at Northern Illinois University from which he retired as Professor Emeritus August 15, 1998.

From 1968 until retirement in 1998, John Albert Ewell III published
**43** papers in Mathematics. He has published 4 papers since
retiring. In June 2003 Dr. Ewell gave a lectre on his research
at CAARMS 9.

NIU office phone -- 815-753-6746

Home phone -- 815-758-2650

SELECTED PUBLICATIONS

**Ewell, John A.**__Recursive determination of the enumerator for sums of three squares__. Int. J. Math. Math. Sci.**24**(2000), no. 8, 529--532.**Ewell, John A.**__Counting lattice points on spheres__. Math. Intelligencer**22**(2000), no. 4, 51--53.**Ewell, John A.**__New representations of Ramanujan's tau function__. Proc. Amer. Math. Soc.**128**(2000), no. 3, 723--726.**Ewell, John A.**On necessary conditions for the existence of odd perfect numbers. Rocky Mountain J. Math. 29 (1999), no. 1, 165--175.**Ewell, John A.**__On the zeta function values $\zeta(2k+1)$, $k=1,2,\cdots$__*,*Rocky Mountain J. Math.**25**(1995), 1003--1012. 11M06 (11Yxx)**Ewell, John A.**__On representations of numbers by sums of two triangular numbers__*,*Fibonacci Quart.**30**(1992), 175--178.**Ewell, John A.**__On values of the Riemann zeta function at integral arguments__*,*Canad. Math. Bull.**34**(1991), 60--66.**Ewell, John A.**__On a function related to Ramanujan's tau function__*,*Internat. J. Math. Math. Sci.**8**(1985), 795--797.**Ewell, John A.****A simple proof of Fermat's two-square theorem**, Amer. Math. Monthly**90**(1983) 635--637.**Ewell, John A.**__On the counting function for sums of two squares__*,*Acta Arith.**40**(1981/82), 213--215. 10J05**Ewell, John A.**__On the determination of sets by sets of sums of fixed order__*,*Canad. J. Math.**20**(1968), 596--611. 05.04

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