Office: #104 in Petty Science Building

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  RESEARCH INTERESTS

            Theory of Numbers, History of Mathematics, Philosophy of Science

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  TEACHING (Spring 2017)

            MAT 191: Calculus 1 (Derivatives) -- in NMOR 227 -- Tue + Thu 2:00-3:15 PM
            MAT 292: Calculus 2 (Integrals) -- in PETT 303 -- Tue + Thu 9:30-10:45 AM
            Office hours: Tue + Thu 11:00-11:50 AM, or by appointment

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  SELECTED WORKS   ( = web citation)

  A note on Euclid’s Theorem concerning the infinitude of the primes,

Acta Univ. M. Belii, Vol. 24 (2016), 25–26.

  New zero-free regions for derivatives of the Riemann zeta function

Rocky Mountain Journal of Mathematics, Vol. 45, (2015), no. 3, 903–926

(with T. Binder & S. Pauli)

  Horizontal monotonicity of the modulus of the Riemann zeta function,

L-functions, and related functions,

Acta Arithmetica, 166 (2014), 189–200,

(with Yu. Matiyasevich and P. Zvengrowski)

  Zhou’s theory of constructing identities,

Congress Numer. 200 (2010), 225-–237.

(with F. Howard)

  Remarks on linear recurrences of the form y_n = y_n-1 + a_n-2 y_n-2,

Congress Numer. 200 (2010), 141-–151

(with K. Berenhaut and A. O’Keefe)

  On the prime number lemma of Selberg,

Mathematica Scandinavica, Vol. 103, No. 1, 5--10, 2008.

  Descartes Numbers,

CRM Proceedings & Lecture Notes, Vol. 46, 167–174, 2008.

(with W. Banks, A. Güloglu, and W. Nevans)

  A note on the maximal coefficients of squares of Newman polynomials,

Journal of Number Theory, Vol. 125, No. 2, 285--288, 2007.

(with K. Berenhaut)

  Bounds for recurrences on ranked posets,

International J. Contemp. Math. Sci., Vol. 2, no. 19, 929-942, 2007.

(with K. Berenhaut and A. O’Keefe)

  Kloosterman sums and van der Corput-type sequences,

Uniform Distribution Theory, Vol. 2 (2007), no. 1, 39-52.

(with W. Banks and M. Sakata)

  A new proof of Euclid's theorem,      

American Mathematical Monthly, Vol. 113, No. 10, 937--938, 2006.

  On Goldbach’s Conjecture for integer polynomials,

American Mathematical Monthly, Vol. 113, No. 6, 541–546, 2006.

  Riemann and his zeta function,

Morfismos, Vol. 9, No. 2, 1–48, 2006.

(with E. Kudryavtseva and P. Zvengrowski)

  Recursive sequences of the form y_n = a_n y_n-1 + y_n-2 with integer coefficients,

Indian J. Math., Vol. 48, No. 1, 1–16, 2006.

(with K. Berenhaut and A. O’Keefe)

  New Erdos-Kac type theorems,

Archiv der Mathematik (Basel), Vol. 85, No. 4, 345--361, 2005.

  Values of arithmetical functions equal to a sum of two squares,

Quart. J. Math. Oxford, Vol. 56, No. 2, 123–139, 2005.

(with W. Banks, F. Luca and I. Shparlinski)

  Non-abelian generalizations of the Erdos-Kac theorem,

Canadian Journal of Math., Vol. 56, No. 2, 356--372, 2004.

(with R. Murty)

  Square-free values of the Carmichael function,

Journal of Number Theory, Vol. 103, No. 1, 122--131, 2003.

(with F. Pappalardi & I. Shparlinski)

  On the modulus of the Riemann zeta function in the critical strip,  

Math. Slovaca, Vol. 53, #2, 145-172, 2003.

(with P. Zvengrowski)

  The normal number of prime factors of f_a(n),

Journal of the Ramanujan Math. Soc., Vol. 17, No. 1, 19--33, 2002.

LINKS