# Celebratio Mathematica

## Paul T. Bateman

### Students

 Lily Hannah Seshu :On the number of simultaneous representations of a given pair of integers as the sum of four integers and the sum of their squares University of Illinois at Urbana-Champaign, Ph.D. 1956 Eugene Edmund Kohlbecker :Asymptotic properties of partitions University of Illinois at Urbana-Champaign, Ph.D. 1956 Jack Phillip Tull :Dirichlet multiplication in lattice point problems University of Illinois at Urbana-Champaign, Ph.D. 1957 Marvin Isadore Knopp :On construction of certain automorphic forms of non-negative dimension University of Illinois at Urbana-Champaign, Ph.D. 1958 Rosemarie M. S. Stemmler :Additive number theory in algebraic number fields University of Illinois at Urbana-Champaign, Ph.D. 1959 Alfred Lorenzo Duquette :The analogue of the Pisot–Vijayaraghavan numbers in fields of formal power series University of Illinois at Urbana-Champaign, Ph.D. 1960 Subramonier Parameswaran :Some theorems on the growth of partition functions University of Illinois at Urbana-Champaign, Ph.D. 1960 Hwa Suk Hahn :On the relative growth of differences of partition functions University of Illinois at Urbana-Champaign, Ph.D. 1961 Roderick Peter Campbell Caldwell :Mean value theorems in the geometry of numbers University of Illinois at Urbana-Champaign, Ph.D. 1962 Ronald Joseph Miech :Almost primes generated by a polynomial University of Illinois at Urbana-Champaign, Ph.D. 1964 Peter Bradley Russell :Primes generated by polynomials in one variable University of Illinois at Urbana-Champaign, Ph.D. 1964 Marc E. Low :Real zeros of the Dedekind function of an imaginary quadratic field University of Illinois at Urbana-Champaign, Ph.D. 1965 Karl Kenneth Norton :On homogeneous diagonal congruences of odd degree University of Illinois at Urbana-Champaign, Ph.D. 1966 Richard Samuel Hall :Theorems about Beurling’s generalized primes and the associated zeta function University of Illinois at Urbana-Champaign, Ph.D. 1967 Padmini T. Joshi :The size of $L(1,\chi)$ for real non-principal residue characters $\chi$ with prime modulus University of Illinois at Urbana-Champaign, Ph.D. 1969 George Barry Purdy :Some extremal problems in geometry and the theory of numbers University of Illinois at Urbana-Champaign, Ph.D. 1972 Elmer Kinji Hayashi :Omega theorems for the iterated additive convolution of a nonnegative arithmetic function University of Illinois at Urbana-Champaign, Ph.D. 1973 Kent E. Wooldridge :Some results: Arithmetic functions similar to Euler's phi-function University of Illinois at Urbana-Champaign, Ph.D. 1975 Claudia Alison Spiro :The frequency with which an integral-valued, prime-independent, multiplicative or additive function of $n$ divides a polynomial function of $n$ University of Illinois at Urbana-Champaign, Ph.D. 1981 Kevin Snow McCurley :Explicit estimates for functions of primes in arithmetic progressions University of Illinois at Urbana-Champaign, Ph.D. 1981