TRANSCENDENCE OF SPECIAL VALUES OF POCHHAMMER FUNCTIONS Academic Article

abstract

• In this paper, we examine the set of algebraic numbers at which higher order hypergeometric functions take algebraic values. In particular, we deduce criteria for this set to be finite and for it to be infinite.

authors

• Tretkoff, Paula

published proceedings

• INTERNATIONAL JOURNAL OF NUMBER THEORY

author list (cited authors)

• Tretkoff, M. D., & Tretkoff, P.

citation count

• 0

complete list of authors

• Tretkoff, Marvin D||Tretkoff, Paula

publication date

• June 2009

publisher

• World Scientific Publishing  Publisher

published in

• International Journal of Number Theory  Journal

keywords

• Hypergeometric Functions
• Shimura Varieties
• Transcendence

Digital Object Identifier (DOI)

• 10.1142/S179304210900233X

start page

• 667

end page

• 677

volume

• 5

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1142%2Fs179304210900233x