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- Michael D. Hirschhorn Recently, Shaun Disney asked (personal communication) for a short
- FORMULAE ASSOCIATED WITH 5, 7, 9 AND 11 SQUARES. Pierre Barrucand and Michael D. Hirschhorn
- American Mathematical Monthly 105 (1998), 52--55. TWO OR THREE IDENTITIES OF RAMANUJAN
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- A RANDOM HOPSCOTCH PROBLEM Michael D. Hirschhorn
- Michael D. Hirschhorn Recently, Shaun Disney asked (personal communication) for a short
- JACOBI'S TWOSQUARE THEOREM AND RELATED IDENTITIES Michael D. Hirschhorn
- THE ASYMPTOTIC SOLUTION OF A DIFFERENCE EQUATION CONSIDERED BY RAMANUJAN
- SUMS INVOLVING SQUAREFREE INTEGERS Michael D. Hirschhorn
- AN IDENTITY OF RAMANUJAN, AND APPLICATIONS Michael D. Hirschhorn
- PARITY RESULTS FOR CERTAIN PARTITION FUNCTIONS Michael D. Hirschhorn
- PARTIAL FRACTIONS AND FOUR CLASSICAL THEOREMS OF NUMBER THEORY
- A RANDOM HOPSCOTCH PROBLEM Michael D. Hirschhorn
- RESULTS OF HURWITZ TYPE FOR THREE SQUARES S. Cooper and M. D. Hirschhorn
- THE ASYMPTOTIC SOLUTION OF A DIFFERENCE EQUATION CONSIDERED BY RAMANUJAN
- COMMENT ON "DISSECTING SQUARES" Michael D. Hirschhorn
- AN IDENTITY OF RAMANUJAN, AND APPLICATIONS Michael D. Hirschhorn
- Powers of Euler's Product and Related Identities Shaun Cooper, Michael Hirschhorn and Richard Lewis
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- SOME COUPLED SECOND--ORDER RECURRENCES AND THEIR SOLUTIONS
- FORMULAE ASSOCIATED WITH 5, 7, 9 AND 11 SQUARES. Pierre Barrucand and Michael D. Hirschhorn
- TRIANGLES WITH INTEGER SIDES Michael D. Hirschhorn
- RESULTS OF HURWITZ TYPE FOR FIVE OR MORE SQUARES
- ON PARTITIONS INTO FOUR DISTINCT SQUARES OF EQUAL PARITY
- A DIFFICULT LIMIT Michael D. Hirschhorn
- MORE ON COOTIE Michael D. Hirschhorn
- Triangles with Integer Sides, Revisited Michael D. Hirschhorn
- SOME RELATIONS FOR PARTITIONS INTO FOUR SQUARES Michael D. Hirschhorn and James A. Sellers
- A DIFFICULT LIMIT Michael D. Hirschhorn
- ON THE EXPANSION OF A CONTINUED FRACTION OF GORDON Michael D. Hirschhorn
- TRIANGLES WITH INTEGER SIDES Michael D. Hirschhorn
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- Triangles with Integer Sides, Revisited Michael D. Hirschhorn
- COMMENT ON "A CURIOUS IDENTITY" Michael D. Hirschhorn
- A FEW REMARKS ON "DIFFERENCE EQUATIONS ETC." BY MAKAY
- SOME BINOMIAL COEFFICIENT IDENTITIES In a recent article [1], Grzegorz Rzadkowski proved four identities in-
- PAPER 90 kGON PARTITIONS Michael D. Hirschhorn
- THERE ARE INFINITELY MANY PRIME NUMBERS Michael D. Hirschhorn
- On Some Infinite Product Identities Shaun Cooper
- SOME RELATIONS FOR PARTITIONS INTO FOUR SQUARES Michael D. Hirschhorn and James A. Sellers
- SOME FORMULAE FOR PARTITIONS INTO SQUARES Michael D. Hirschhorn
- PARTIAL FRACTIONS AND FOUR CLASSICAL THEOREMS OF NUMBER THEORY
- HOW MANY WAYS CAN A KING CROSS THE BOARD? Michael D. Hirschhorn
- A PROOF OF EPERSON'S CONJECTURE Michael D. Hirschhorn
- American Mathematical Monthly 106 (1999), 580583. ANOTHER SHORT PROOF OF RAMANUJAN'S
- A PROBLEM IN DYNAMICS Michael D. Hirschhorn
- JACOBI'S TWO-SQUARE THEOREM AND RELATED IDENTITIES Michael D. Hirschhorn
- THE PIZZA THEOREM Jeremy, Michael, Jeremy K., Andrew and Philip Hirschhorn
- Seminaire Lotharingien de Combinatoire 42(1998),f. THREE CLASSICAL RESULTS ON
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- BASIS PARTITIONS AND ROGERS-RAMANUJAN PARTITIONS Michael D. Hirschhorn
- BINOMIAL COEFFICIENT IDENTITIES AND HYPERGEOMETRIC SERIES
- BASIS PARTITIONS AND ROGERSRAMANUJAN PARTITIONS Michael D. Hirschhorn
- ON THE EVALUATION OF CERTAIN IMPROPER INTEGRALS ARISING IN WAVEGUIDE THEORY
- RELATIONS BETWEEN SQUARES AND TRIANGLES Keywords: representations, sums of squares, triangular numbers
- HOW MANY WAYS CAN A KING CROSS THE BOARD? Michael D. Hirschhorn
- A PROOF OF EPERSON'S CONJECTURE Michael D. Hirschhorn
- MORE ON COOTIE Michael D. Hirschhorn
- THE PIZZA THEOREM Jeremy, Michael, Jeremy K., Andrew and Philip Hirschhorn
- ON SOME SUM--TO--PRODUCT IDENTITIES SHAUN COOPER AND MICHAEL HIRSCHHORN
- American Mathematical Monthly 105 (1998), 5255. TWO OR THREE IDENTITIES OF RAMANUJAN
- ARITHMETIC CONSEQUENCES OF JACOBI'S TWOSQUARES THEOREM
- RELATIONS BETWEEN SQUARES AND TRIANGLES Keywords: representations, sums of squares, triangular numbers
- On Some Infinite Product Identities Shaun Cooper # and Michael Hirschhorn
- ON REPRESENTATIONS OF A NUMBER AS A SUM OF THREE SQUARES
- BINOMIAL COEFFICIENT IDENTITIES AND HYPERGEOMETRIC SERIES
- COMMENT ON ``DISSECTING SQUARES'' Michael D. Hirschhorn
- ON PARTITIONS INTO FOUR DISTINCT SQUARES OF EQUAL PARITY
- SOME PARITY RESULTS FOR 16CORES Michael D. Hirschhorn and James A. Sellers
- WINQUIST AND THE ATKIN--SWINNERTON--DYER PARTITION CONGRUENCES FOR MODULUS 11
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- ON SUMS OF SQUARES Michael D. Hirschhorn
- SOME FORMULAE FOR PARTITIONS INTO SQUARES Michael D. Hirschhorn
- American Mathematical Monthly 106 (1999), 580--583. ANOTHER SHORT PROOF OF RAMANUJAN'S
- ON SUMS OF SQUARES Michael D. Hirschhorn
- Powers of Euler's Product and Related Identities Shaun Cooper, Michael Hirschhorn and Richard Lewis
- SOME COUPLED SECONDORDER RECURRENCES AND THEIR SOLUTIONS
- A birthday present for Ramanujan Recently, Frank G. Garvan and George E. Andrews made an exciting discovery.
- A continued fraction Let (a)r = (1 -a)(1 -ax) (1 -axr-1
- A new formula for 1. Introduction
- Two further Ramanujan pairs In a recent article, George E. Andrews considers a generalization of the Rogers-
- A simple proof of an identity of Ramanujan One of Ramanujan's unpublished, unproven identities has excited considerable
- A continued fraction of Ramanujan In a manuscript discovered in 1976 by George E. Andrews, Ramanujan states a
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- Ramanujan's partition congruences Simple, uniform proofs are given of Ramanujan's partition congruences
- The ladder and box problem. An alternative solution We consider Professor Love's solution of the Ladder and Box problem (Gazette,
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- Cubic analogues of the Jacobian theta function (z, q) ABSTRACT. There are three modular forms a(q), b(q), c(q) involved in the
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- Polynomial identities which imply identities of Euler and Jacobi 1. Introduction. We shall prove polynomial identities which imply the fol-
- A diophantine equation A couple of years ago, I was asked the following problem: Find three distinct
- The Andrews formula for Fibonacci numbers 1. George E. Andrews [1] gave the following formulas for the Fibonacci num-
- A reformulation of Ramanujan's partition congruences The Ramanujan partition congruences concern p(n + ) where = 5
- Infinitely many identities of Kolberg type O. Kolberg has shown that if the partition generating function is split into five
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- A proof in the spirit of Zeilberger of an amazing identity of Ramanujan 1. Introduction In a recent paper [1], I discussed the following statement, to be
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- An amazing identity of Ramanujan In the so-called "lost notebook" of Ramanujan ([1], p. 341), one finds the following
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- A simple proof of Jacobi's four-square theorem A celebrated result, due to Jacobi, says that the number of representations of the
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- Simple proofs of identities of MacMahon and Jacobi MacMahon, in his book "Combinatory Analysis", gives a very involved combi-
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- THREE CLASSICAL RESULTS ON REPRESENTATIONS OF A NUMBER
- Ramanujan's contribution to continued fractions In letters from an "unknown Hindu clerk", G. H. Hardy, at that time (1913)
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- A generalisation of Winquist's identity and a conjecture of Ramanujan 1. Introduction. In a paper which appeared in 1919, S. Ramanujan [1] made the conjec-
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- Some partition theorems of the Rogers-Ramanujan type Some partition theorems similar to the Rogers-Ramanujan theorems are proved.
- The volume of a cone, without calculus The volume V of a cone with base area A and height h is well known to be given
- A simple proof of Jacobi's two-square theorem 1. In a recent note, John A. Ewell [1] derives Fermat's two-square theorem
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- A simple proof of the Ramanujan conjecture for powers of 5 Abstract. Ramanujan conjectured, and G. N. Watson proved, that if n is of a
- Climbing stairs I was recently given the following problem. If a person climbs a staircase two or
