Family Name: Toh
Given Name: Pee Choon
杜丕俊
Contact: peechoon DOT toh AT nie DOT edu DOT sg
Homepage Mirror
Address:
NIE 70335
Mathematics & Mathematics Education
National Institute of Education
Nanyang Technological University
1 Nanyang Walk, Singapore 637616
Research Interests
 My main research focus is on number theory, in particular, elliptic functions, modular forms, partition theory and basic hypergeometric series.
 I'm also interested in Problem Solving and the teaching of mathematics at the undergraduate level.
My Erdös number is at most 4, via Toh  Chan  Berndt  Chowla  Erdös
Events

International workshop on Number theory, partitions, qseries and RogersRamanujan identities (67 March 2014)

Seminar series on Number theory, partitions, qseries and related research (npqr² )
Publications (Number theory, partition theory, theta functions and modular forms)
 On representations by figurate numbers: A uniform approach to the conjectures of Melham.
Int. J. Number Theory, 9 (2013) 10551071. pdf
 Ramanujan type identities and congruences for partition pairs.
Discrete Math. 312 (2012) 12441250.pdf
 Differential equations satisfied by Eisenstein series of level 2.
Ramanujan J., 25 (2011) 179194. pdf
 A new class of theta function identities in two variables. (with R. Chapman and W. Hart)
J. Comb. Number Theory, 2 (2010) 201208 pdf
 New analogues of Ramanujan's partition identities. (with H.H. Chan)
J. Number Theory 130 (2010) 18981913. pdf
 Representations
of certain binary quadratic forms as Lambert series.
Acta Arith. 143 (2010) 227237.
pdf
 Quintic and septic Eisenstein series. (with S. Cooper)
Ramanujan J., 19 (2009) 163181. pdf
 Determinant identities for theta functions. (with S. Cooper)
J. Math. Anal. Appl., 347 (2008) 17. pdf
 Generalized mth order Jacobi theta functions and the Macdonald identities.
Int. J. Number Theory, 4 (2008) 461474. pdf
 Ramanujan's Eisenstein series and powers of Dedekind's etafunction.(with H.H. Chan and S. Cooper)
J. London Math. Soc., 75 (2007) 225242. pdf
 The 26th power of the Dedekind's eta function.(with H.H. Chan and S. Cooper)
Adv. Math., 207 (2006) 532543. pdf
These are the submmitted versions of the papers and may differ from the published versions. For copies of the published version, please write to me.
Other Publications (Selected)
 What is the next number in this sequence?
P.C. Toh and E. G. Tay
accepted Math. Spectrum.
 The Problem Solving Approach in the Teaching of Number Theory
P. C. Toh, Y. H. Leong, T. L. Toh, J. Dindyal, K. S. Quek, E. G. Tay and F. H. Ho
Int. J. Math. Ed. Sci. Technol. link, pdf
 Use of Practical Worksheet in Teacher Education at the Undergraduate and Postgraduate Levels,
P. C. Toh, T. L. Toh, F. H. Ho and K. S. Quek
Proceedings of the 35th Mathematics Education Research Group of Australiasia Conference,
Singapore, 2012, 736743.
link,
pdf
 Self Learning Laboratory Sessions for Engineering Mathematics,
P. C. Toh
Proceedings of the 16th Asian Technology Conference in Mathematics,
Bolu, Turkey, 2011, 187192.
link,
pdf
Current and Past Student Projects
 Introduction to Coding Theory
 Bijections in the theory of Partitions
 Pell's Equation
 Sums of Squares and Sums of Triangular Numbers
 Applications of Graphs
 Repunit Polygonal Numbers. (Student paper appeared in Mathematical Medley Vol 38 No. 2.)
 Properties of Lattice Polygon Duals
 Finite Calculus
 The Mathematics of Google's PageRank (Student project won silver award in SSEF2010.)
 Fourier Series and the Riemann Zeta Function
updated December 2013