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math.NT2000
Hankel determinants of Eisenstein series
Stephen C. Milne
In this paper we prove Garvan's conjectured formula for the square of the modular discriminant as a 3 by 3 Hankel determinant of classical Eisenstein series . We then o…
math.NT2000
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
Stephen C. Milne
In this paper we derive many infinite families of explicit exact formulas involving either squares or triangular numbers, two of which generalize Jacobi's 4 and 8 squares identitie…