Preprints (including expository papers on U(n) multiple $q$-series and Gaurav Bhatnagar's thesis)

  1. S. Milne. Transformations of $U(n+1)$ multiple basic hypergeometric series, in ``Physics and Combinatorics: Proceedings of the Nagoya 1999 International Workshop (Nagoya University, Japan, August 23--27, 1999)'' (A. N. Kirillov, A. Tsuchiya, and H. Umemura, Editors), World Scientific, Singapore, 2001, pp. 201--243.
  2. Gaurav Bhatnagar. A multivariable view of one-variable $q$-series, This paper appeared in Special Functions and Differential Equations (Madras, 1997), 60--72, Allied Publ., New Delhi, 1998.
  3. Gaurav Bhatnagar. INVERSE RELATIONS, GENERALIZED BIBASIC SERIES, AND THEIR $U(n)$ EXTENSIONS, DISSERTATION, The Ohio State University, August, 1995.

Articles in preparation

  1. S. Milne. A new formula for Ramanujan's tau function and the Leech lattice, in preparation.
  2. S. Milne. A new formula for Ramanujan's tau function and applications, in preparation.
  3. S. Milne. A New Lambert series formulas for $12$ and $20$ squares, in preparation.
  4. S. Milne. A new formula for $9$ squares, in preparation.
  5. S. Milne. Continued fractions, Hankel determinants, and further identities for powers of classical theta functions, in preparation.
  6. S. Milne. Sums of squares, Schur functions, and multiple basic hypergeometric series, in preparation.
  7. S. Milne (with J. W. Newcomb). Nonterminating $q\!$-Whipple transformations for basic hypergeometric series in $U(n)$, manuscript in preparation.
  8. S. Milne (with S. Degenhardt). A nonterminating $q\!$-Dougall summation theorem for hypergeometric series in $U(n)$, manuscript in preparation.
  9. S. Milne (with S. Rieser). Intermingling coefficients for subspaces and the $q\!$-Pfaff-Saalsch\"utz summation theorem, manuscript in preparation.
  10. S. Milne (with J. Breitenbucher). $C_{\ell}$ mock theta functions, manuscript in preparation.
  11. S. Milne. A $U(n)$ generalization of Bailey's Lemma, in preparation.
  12. S. Milne. New Whipple's transformations for basic hypergeometric series in $U(n)$, in preparation.
  13. S. Milne. An extension of little $q\!$-Jacobi polynomials for basic hypergeometric series in $U(n)$, in preparation.

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