Displaying similar documents to “The number of solutions of certain equations over a finite field”

On a generating function of ultraspherical polynomals.

Bibhiti Bhusan Saha (1979)

Revista Matemática Hispanoamericana

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S. K. Chatterjea has recently proved a class of generating relations involving ultraspherical polynomials from the view point of continuous transformations-groups. The object of the present paper is to point out that this class of generating relations implies the explicit representation, the addition and the multiplication formulas, in addition to the usual generating relation for the ultraspherical polynomials.

Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson

Rolf Wallisser (2005)

Journal de Théorie des Nombres de Bordeaux

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Let Q be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function G ( x ) = ∑ n = 0 ∞ x n Q ( 1 ) Q ( 2 ) ⋯ Q ( n ) .