Associate Professor, School of Mathematics and Statistics, Carleton University

Some product-to-sum identities, Journal of Combinatorics and Number Theory

Some arithmetic identities involving divisor functions, Functiones et Approximatio

Restricted Eisenstein Series and Certain Convolution Sums, Journal of Combinatorics and Number Theory

The number of representations of a positive integer by certain octonary quadratic forms, Functiones et Approximatio

Sextenary quadratic forms and an identity of Klein and Fricke, International Journal of Number Theory

Fourteen octonary quadratic forms, International Journal of Number Theory

Representations by sextenary quadratic forms whose coefficients are 1, 2 and 4, Acta Arithmetica

Sums of 4k squares: a polynomial approach, Journal of Combinatorics and Number Theory

Some new theta function identities with applications to sextenary quadratic forms, Journal of Combinatorics and Number Theory

Some infinite products of Ramanujan type, Canadian Mathematical Bulletin

Evaluation of the sums \(\sum_{m\equiv a \hspace{-1mm} \pmod 4} \sigma(m) \sigma(n-m)\), Czechoslovak Mathematical Journal

Some identities involving theta functions, Journal of Number Theory

The number of representations of a positive integer by certain quaternary quadratic forms, International Journal of Number Theory

Liouville's sextenary quadratic forms \(x^2 + y^2 + z^2 + t^2 + 2u^2 + 2v^2\), \(x^2 + y^2 + 2z^2 + 2t^2 + 2u^2 + 2v^2\) and \(x^2 + 2y^2 + 2z^2 + 2t^2 + 2u^2 + 4v^2\), Far East Journal of Mathematical Sciences

Seven octonary quadratic forms, Acta Arithmetica

Berndt's curious formula, International Journal of Number Theory

Theta function identities and representations by certain quaternary quadratic forms, Int. J. Number Theory

Theta function identities and representations by certain quaternary quadratic forms II, International Mathematical Forum

Arithmetic progressions and binary quadratic forms, American Mathematical Monthly

The convolution sum \(\displaystyle \sum_{m \lt n/16} \hspace{-2mm} \sigma(m) \sigma(n-16m)\), Canadian Mathematical Bulletin

Jacobi's identity and representation of integers by certain quaternary quadratic forms, Int. J. Modern Math.

On the quaternary forms \(x^2 + y^2 +z^2 + 5t^2\), \(x^2 + y^2 + 5z^2 + 5t^2\) and \(x^2 + 5y^2 + 5z^2 + 5t^2\), JP J. Algebra Number Theory Appl.

The simplest proof of Jacobi's six squares theorem, Far East J. Math. Sci.

Evaluation of the convolution sums \(\displaystyle \hspace{-2mm} \sum_{l+24m=n} \sigma(l) \sigma(m)\) and \(\displaystyle \sum_{3l+8m=n} \hspace{-2mm} \sigma(l) \sigma(m)\), Math. J. Okayama Univ.

Nineteen quaternary quadratic forms, Acta Arithmetica

Evaluation of the convolution sums \(\displaystyle \sum_{l+ 6m =n} \hspace{-2mm} \sigma(l) \sigma(m)\) and \(\displaystyle \sum_{2l+ 3m =n} \hspace{-2mm} \sigma(l) \sigma(m)\), J. Number Theory

Lambert series and Liouville's identities, Dissertationes Math.

An infinite class of identities, Bull. Austral. Math. Soc.

Nonexistence of a composition law, Math Mag.

Evaluation of the convolution sums \(\displaystyle \sum_{l+18m=n} \hspace{-2mm} \sigma(l)\sigma(m)\) and \(\displaystyle \sum_{2l+9m=n} \hspace{-2mm} \sigma(l)\sigma(m)\), International Mathematical Forum

Congruences for Brewer sums, Finite Fields and Their Applications,

Evaluation of the convolution sums \(\displaystyle \sum_{l+12m=n} \hspace{-2mm} \sigma(l)\sigma(m)\) and \(\displaystyle \sum_{3l+4m=n} \hspace{-2mm} \sigma(l)\sigma(m)\), Advances in Theoretical and Applied Mathemeatics

On the two-dimensional theta functions of the Borweins, Acta Arith.

Explicit decomposition of a rational prime in a cubic field, Int. J. Math. Math. Sci.

The factorization of 2 in cubic fields with index 2, Far East J. Math. Sci.

An integral basis and the discriminant of a quintic field defined by a trinomial x

p-Integral bases of a quartic field defined by a trinomial x

On Voronoi's method for finding an integral basis of a cubic field, Util. Math.

A simple method for finding an integral basis of a quartic field defined by a trinomial x

p-integral bases of algebraic number fields, Utilitas Mathematica

p-integral bases of a cubic field. American Mathematical Society,

Updated: January 2013