Journal of Number Theory, v. 104

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On an analogue of a conjecture of Mazur: A question in Diophantine approximation, Contributions to automorphic forms, geometry, and number theory , , Johns Hopkins Univ. Khare Reduction of homomorphisms mod p, and algebraicity, J. Adler On certain mulitplicity one theorems, Israel J. Relating invariant linear form and local epsilon factors via global methods, with an appendix by H.

Jennifer Balakrishnan

Saito; Duke J. Gross Restriction of representations of classical groups: Examples; vol. Anandavardhanan A local-global question in Automorphic forms; Compositio Math , no. Half the sum of positive roots, the Coxeter element, and a theorem of Kostant; Forum Math, vol. A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians; Advances in Mathematics , Generalizing the MVW involution, and the contragredient.

Transactions of the AMS, vol , no. Anandavardhanan Distinguished representations for SL n , arXiv Adler Multiplicity upon restriction to the derived subgroup, to appear in Pacific Journal of Mathematics, vol , No 1, pages With M. Nori On a duality theorem of Schneider-Stuhler. Generic representations for symmetric spaces, with an appendix by Y. Advances in Mathematics , Multiplicity upon basechange: finite field case, arXiv Contributions to Algebraic number theory from India since Independence to late 90's.

Indian J. Pure Appl. Murty and M. Bambah, V. Dumir, and R. Hans-Gill, Hindustan Book Agency, Illinois J. Berndt On Ramanujan's quartic theory of elliptic functions. Number Theory, vol. Berndt and W. London Math. Liaw and V. Tan A certain quotient of eta-functions found in the Lost Notebook. Kang and L. Peters Ltd, New Ramanujan-Kolberg type identities. Mathematical Research Letters, 9, , Joint work with H. Hahn, R. Lewis, S.

Joint work with K. Chua and P. Joint work with A. Gee and V. Berndt and Alexandru Zaharescu Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind. Advances in Mathematics, , , Joint work with Z. Liu 7-modular lattices and a septic base Jacobi identity. Number Theory, 99, , Sole Representations of integers as sums of 32 squares. The Ramanujan Journal, 7, , Chua Partition identities and Congruences associated with the Fourier coefficients of the Euler products.

Journal of Computational and Applied Math. Joint work with R. Advances in Math. Chan and Z. Cranks and dissections in Ramanujan's Lost Notebook. Theory Ser. A , no. Chan and W. Ramanujan and cranks. Recent progress in the study of the representations of integers as sums of squares. International Journal of Number Theory 1 , Circular summation of theta functions in Ramanujan's lost notebook. Journal of Mathematical Analysis and applications , Cooper and Pee Choon Toh. Elliptic functions to the quintic base.

A number theory proof

Pacific Journal of Mathematics , no. Ramanujan's Eisenstein series and powers of Dedekind's eta-function Journal of the London Mathematical Society, 2 75 , no. Cooper and P. Gazette, 30 , Hirschhorn, sin n , Austral. Hirschhorn, Triangles with integer sides, Math. Hirschhorn, Sums involving square-free numbers, Mathematical Gazette, 87 , Hirschhorn, Some remarks on difference equations, Mathematical Gazette, 87 , Hirschhorn, Some coupled second-order recurrences and their solutions, Austral.

Hirschhorn, Some binomial coefficient identities, Mathematical Gazette, 87 , Hirschhorn, A note on partial fractions, Austral. Hirschhorn, k -gon partitions, Bull. Hirschhorn, There are infinitely many prime numbers, Austral. Gazette, 29 , Hirschhorn, On sums of squares, Austral. Hirschhorn, Binomial coefficient identies and hypergeometric series, Austral. Brown and M.

Barrucand and M. Hirschhorn, Formulae associated with 5, 7, 9 and 11 squares, Bull. Barrucand, S. Hirschhorn, Results of Hurwitz type for five or more squares, Ramanujan J. Hirschhorn, Relations between squares and triangles, Discrete Math. Garvan, Mourad E. Ismail eds , Developments in Mathematics, Vol. Hirschhorn, On the expansion of a continued fraction of Gordon, Ramanujan J. Hirschhorn, On partitions into four distinct squares of equal parity, Australas. Cooper; M. Hirschhorn, On some infinite product identities, Rocky Mountain Journal , 31 , Hirschhorn, On some sum-to-product identities, Bull.

Hirschhorn; J. World Scientific, , Hirschhorn, Some formulae for partitions into squares, Discrete Math. Hirschhorn, Partial fractions and four classical theorems in number theory, Amer. Monthly , , Hirschhorn, Parity results for certain partition functions, Ramanujan J. Hirschhorn, More on Cootie, College Math. Hirschhorn, How many ways can a king cross the board? Gazette, 27 , Hirschhorn, Arithmetic consequences of Jacobi's two squares theorem, Ramanujan J. Hirschhorn, An identity of Ramanujan, and applications, in: q-series from a contemporary perspective, Contemporary Mathematics, Vol.

Hirschhorn, A proof of Eperson's conjecture, Mathematical Gazette , 84 , Hirschhorn, R. Lewis, Powers of Euler's product and related identities, Ramanujan J.

Sellers, Some parity results for cores, Ramanujan J. Sellers, On representations of a number as a sum of three squares, Discrete Math. Hirschhorn, The double-angle formulae, Austral. Gazette , 26 , Hirschhorn, Jacobi's two-square theorem and related identities, Ramanujan J. Hirschhorn, Another short proof of the Ramanujan congruence modulo 5, and more, Amer. Hirschhorn, A problem in dynamics, Austral.

Hirschhorn, A. Hirschhorn, The pizza theorem, Austral. Hirschhorn, Two or three identities of Ramanujan, Amer.

Publication List (not all articles are available)

Hirschhorn, Two diophantine equations studied by Ramanujan, Math. Hirschhorn, Three classical results on representations of a number, Seminaire Lotharingien , B42f , 8pp. Gazette , 25 , Hirschhorn, The fundamental theorem of algebra, College Math.

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Hirschhorn, Proofs of some hyperelliptic function identities, Bull. Hirschhorn, On the expansion of Ramanujan's continued fraction, Ramanujan J. Hirschhorn, A trigonometric identity and Morley's theorem, Austral. Hirschhorn, A new formula for Pi, Austral. Hirschhorn, The volume of a cone, without calculus, Math. Hirschhorn, Radius of a buried pipe, Austral.

Publications Citing SageMath

Gazette , 24 , Sellers, Two congruences involving 4-cores, Electron. Sellers, Some amazing facts about 4-cores, J. Sellers, On representations of a number as a sum of three triangles, Acta Arith. Hirschhorn, Calkin's binomial identity, Discrete Math. Hirschhorn, A reformulation of Ramanujan's partition congruences, J. Theory Ser. A , 73 , Hirschhorn, A proof in the spirit of Zeilberger of an amazing identity of Ramanujan, Math. Hirschhorn, An amazing identity of Ramanujan, Math.

Hirschhorn, A new proof of an old formula, Bull. Hirschhorn, Several identities in statistical mechanics, Internat. Hirschhorn, Ramanujan's partition congruences, Discrete Math. Hirschhorn, On a differential equation, Austral. Gazette , 21 , Hirschhorn, Climbing stairs, Austral. Hirschhorn, F. Garvan,; J. Hirschhorn, On the parity of p n II, J. Theory, Ser.

Number Theory and Discrete Mathematics

A , 62 , Hirschhorn, A diophantine equation, Austral. Gazette , 20 , Hirschhorn, Behold, Amer. Monthly , 99 ,