Algebraic independence of logarithmic singularities of some complex functions

Plurisubharmonic functions with logarithmic singularities

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Algebraic Independence of Values of Elliptic Functions

Algebraic independence of some Lambert series

1] proved that if Y k0 (1 0 z F k) = X k0 "(k)z k ; then "(k) = 0 or 61 for any k 0. Tamura [7] generalized this result by proving the following theorem: Let fR k g k0 be a linear recurrence of positive integers satisfying R k+n = R k+n01 + 1 1 1 + R k (k 0) with n 2 and let P(z) = Y k0 (1 0 z R k) = X k0 "(k)z k : Then, if n is even, f"(k) j k 0g is a nite set; if in addition R k = 2 k (0 k n0...

ALGEBRAIC INDEPENDENCE OF CERTAIN FORMAL POWER SERIES (I)

We give a proof of the generalisation of Mendes-France and Van der Poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of Carlitz, we shall introduce a class of algebraically independent series.

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...