By Dr Mike Hirschhorn

Journal articles

Hirschhorn MD, 2011, 'A triangle-folding problem', MATHEMATICAL GAZETTE, 95, pp. 514 - 517, http://dx.doi.org/10.1017/S002555720000365X

Hirschhorn MD, 2011, 'Tenth order algorithms for calculating root 2, (sic)', MATHEMATICAL GAZETTE, 95, pp. 526 - 528, http://dx.doi.org/10.1017/S0025557200003697

Hirschhorn MD, 2011, 'When is the sum of consecutive squares a square?', MATHEMATICAL GAZETTE, 95, pp. 511 - 512, http://dx.doi.org/10.1017/S0025557200003636

Hirschhorn MD, 2011, 'A Simple Proof that ζ(2) = π²/6', Mathematical Intelligencer, 33, pp. 81 - 82, http://dx.doi.org/10.1007/s00283-011-9217-4

Hirschhorn M, 2011, '95.35 A surprising appearance of zeta(3)', MATHEMATICAL GAZETTE, 95, pp. 313 - 313, http://dx.doi.org/10.1017/S0025557200003120

Hirschhorn M, 2011, '95.40 Lord Brouncker's continued fraction for pi', MATHEMATICAL GAZETTE, 95, pp. 322 - 326, http://dx.doi.org/10.1017/S002555720000317X

Hirschhorn MD, 2011, 'An interesting integral', MATHEMATICAL GAZETTE, 95, pp. 90 - 91, http://dx.doi.org/10.1017/S0025557200002436

Hirschhorn MD, 2011, 'Commensurable triangles', MATHEMATICAL GAZETTE, 95, pp. 61 - 63, http://dx.doi.org/10.1017/S0025557200002345

Hirschhorn MD, 2011, 'Maximisation/minimisation without calculus', MATHEMATICAL GAZETTE, 95, pp. 83 - 85, http://dx.doi.org/10.1017/S0025557200002400

Hirschhorn MD, 2011, 'A note on Somos' quadratic recurrence constant', Journal of Number Theory, 131, pp. 2061 - 2063

Hirschhorn MD, 2011, 'A simple proof that zeta(2) = pi2/6', Mathematical Intelligencer, 33, pp. 81 - 82

Hirschhorn MD, 2011, 'Approximating Euler's constant', Fibonacci Quarterly, 49, pp. 243 - 248

Hirschhorn MD, 2011, 'Factorization of lens sequences', Fibonacci Quarterly, 49, pp. 110 - 115, http://dx.doi.org/10.1007/s11139-010-9272-z

Cooper S; Hirschhorn MD, 2011, 'Factorizations that involve Ramanujan’s function k(q) = r(q)r 2(q 2)', ACTA Mathematica Sinica - English Series, 27, pp. 2301 - 2318, http://dx.doi.org/10.1007/s10114-011-0202-9

Hirschhorn MD, 2011, 'On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal', Ramanujan Journal, 24, pp. 85 - 92, http://dx.doi.org/10.1007/s11139-010-9272-z

Hirschhorn MD, 2011, 'Ramanujan's "most beautiful identity"', American Mathematical Monthly, 118, pp. 839 - 845, http://dx.doi.org/10.4169/amer.math.monthly.118.09.839

Andrews GE; Hirschhorn MD; Sellers JA, 2010, 'Arithmetic properties of partitions with even parts distinct', Ramanujan Journal, 23, pp. 169 - 181, http://dx.doi.org/10.1007/s11139-009-9158-0

Hirschhorn MD; Sellers JA, 2010, 'Arithmetic properties of partitions with odd parts distinct', Ramanujan Journal, 22, pp. 273 - 284

Hirschhorn MD; Sellers JA, 2010, 'Elementary proofs of parity results for 5–regular partitions', Bulletin of the Australian Mathematical Society, 81, pp. 58 - 63

Hirschhorn MD, 2009, 'A problem involving binomial coefficients', Australian Mathematical Society Gazette, 36, pp. 273 - 275

Hirschhorn MD, 2009, 'Comment on 'Counting paths in a grid'', Australian Mathematical Society Gazette, 36, pp. 50 - 52

Hirschhorn MD; Sellers JA, 2009, 'Elementary proofs of various facts about 3-cores', Bulletin of the Australian Mathematical Society, 79, pp. 507 - 512

Hirschhorn MD; Rodseth OJ; Sellers JA, 2009, 'Infinite families of divisibility properties modulo 4 for non-squashing partitions into district parts', Integers, 9, pp. 427 - 433

Hirschhorn MD, 2009, 'On recurrences of Fahr and Ringel arising in graph theory', Journal of Integer Sequences, 12, pp. Article 09.6.8

Hirschhorn MD, 2008, 'Pythagoras' Theorem', MATHEMATICAL GAZETTE, 92, pp. 565 - 565, http://dx.doi.org/10.1017/S0025557200183950

Hirschhorn MD, 2008, 'Three scenarios involving elastic collisions', MATHEMATICAL GAZETTE, 92, pp. 154 - 158, http://dx.doi.org/10.1017/S0025557200182816

Hirschhorn MD, 2008, 'A letter from Fitzroy house', American Mathematical Monthly, 115, pp. 563 - 566

Hirschhorn MD; Sellers JA, 2008, 'Enumeration of Unigraphical Partitions', Journal of Integer Sequences, 2008

Baruah ND; Cooper S; Hirschhorn MD, 2008, 'Sums of Squares and sums of triangular numbers induced by partitions of 8', International Journal of Number Theory, 4, pp. 525 - 538

Benjamin AT; Hirschhorn MD, 2007, 'A combinatorial solution to intertwined recurrences', Australasian Journal of Combinatorics, 37, pp. 101 - 116

Hirschhorn MD, 2007, 'Correspondence', MATHEMATICAL GAZETTE, 91, pp. 560 - 560, http://dx.doi.org/10.1017/S0025557200182348

Hirschhorn MD, 2007, 'Teaching Notes Teaching integration', MATHEMATICAL GAZETTE, 91, pp. 547 - 547, http://dx.doi.org/10.1017/S0025557200182294

Hirschhorn MD, 2007, 'Still shorter [2]', Mathematical Intelligencer, 29, pp. 5, http://dx.doi.org/10.1007/BF02986196

Hirschhorn MD; Sellers JA, 2007, 'On recent congruence results of Andrews and Paule for broken k-diamonds', Bulletin of the Australian Mathematical Society, 75, pp. 121 - 126

Cooper S; Hirschhorn MD, 2007, 'On the number of primitive representations of integers as sums of squares', Ramanujan Journal, 13, pp. 7 - 25

Hirschhorn MD, 2007, 'The alternating harmonic series', Mathematical Intelligencer, 29, pp. 4 - 5

Hirschhorn MD, 2007, 'The AM-GM inequality', Mathematical Intelligencer, 29, pp. 7 - 7

Hirschhorn MD, 2006, '90.54 The new neighbours problem: a solution', MATHEMATICAL GAZETTE, 90, pp. 321 - 324, http://dx.doi.org/10.1017/S0025557200179884

Hirschhorn MD, 2006, 'On Euler's constant', MATHEMATICAL GAZETTE, 90, pp. 295 - 298, http://dx.doi.org/10.1017/S002555720017977X

Hirschhorn MD, 2006, '90.04 The number of partitions of a number into distinct squares', MATHEMATICAL GAZETTE, 90, pp. 80 - 87, http://dx.doi.org/10.1017/S0025557200179070

Hirschhorn MD, 2006, '90.16 Evaluating (sic) (a', MATHEMATICAL GAZETTE, 90, pp. 114 - 116, http://dx.doi.org/10.1017/S0025557200179197

Cooper S; Hirschhorn M, 2006, 'Sums of squares and sums of triangular numbers', Georgian Mathematical Journal, 13, pp. 675 - 686, http://dx.doi.org/10.1515/GMJ.2006.675

Hirschhorn MD; Sellers JA, 2006, 'Arithmetic properties of overpartitions into odd parts', Annals of Combinatorics, 10, pp. 353 - 367

Hirschhorn MD, 2006, 'Coupled second-order recurrences', Fibonacci Quarterly, 44, pp. 20 - 25

Hirschhorn MD, 2006, 'Coupled third-order recurrences', Fibonacci Quarterly, 44, pp. 26 - 31

Hirschhorn MD, 2006, 'The case of the mysterious sevens', International Journal of Number Theory, 2, pp. 213 - 216

Hirschhorn MD, 2005, 'An identity involving binomial coefficients', MATHEMATICAL GAZETTE, 89, pp. 256 - 258, http://dx.doi.org/10.1017/S0025557200177745

Angell DD; Hirschhorn MD, 2005, 'A remarkable continued fraction', Bulletin of the Australian Mathematical Society, 72, pp. 45 - 52

Hirschhorn MD; Sellers JA, 2005, 'An infinite family of overpartition congruences modulo 12', Integers: the Electronic Journal of Combinatorial Number Theory, 5, pp. A20 - A20

Hirschhorn MD; Sellers JA, 2005, 'Arithmetic relations for overpartitions', Journal of Combinatorial Mathematics and Combinatorial Computing, 53, pp. 65 - 73

Back to profile page