Transformation formulas associated with integrals involving the Riemann Ξ-function

Author:

Dixit Atul

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Berndt, B.C.,Dixit A.: A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan’s Lost Notebook. In: Alladi, K., Klauder, J., Rao, C.R. (eds.) The Legacy of Alladi Ramakrishnan in the Mathematical Sciences. Springer, New York (2010, to appear)

2. Berndt, B.C., Lee, Y., Sohn, J.: In: Alladi, K. (ed.) The formulas of Koshliakov and Guinand in Ramanujan’s lost notebook, Surveys in Number Theory, Series: Developments in Mathematics, vol. 17, pp. 21–42. Springer, New York (2008)

3. Bump D.: Autmorphic forms and representations. Cambridge Studies in Advanced Mathematics, vol. 55. Cambridge University Press, Cambridge (1997)

4. Dixit, A.: Analogues of a transformation formula of Ramanujan (submitted)

5. Dixit, A.: Transformation formulas associated with integrals involving the Riemann Ξ-function and Ramanujan’s cubic theory of elliptic functions, Ph.D. thesis, University of Illinois at Urbana-Champaign (2011)

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