Algebraically dependent functions of a complex and $p$-adic variable.

An inequality for values of Koksma's functions of two algebraically dependent p-adic numbers

We establish a p-adic version of the inequalities linking values of Koksma’s functions of two algebraically dependent transcendental numbers and show that in a very special, but nontrivial case these inequalities become equalities.

Lipeomorphic Equivalence for P-adic Analytic Functions: a Comparison between Complex and P-adic Dynamics

Let K be a p-adic field, and suppose that f and g are germs of analytic functions on K which are tangent to the identity at 0. It is known that f and g are homeomorphically equivalent, meaning there is an invertible germ h so that h−1◦f ◦h = g. In this paper, we determine whether there exists such h which are lipeomorphisms, and moreover find the best possible Hölder estimate at 0. Our results ...

p-ADIC PERIODS, p-ADIC L-FUNCTIONS, AND THE p-ADIC UNIFORMIZATION OF SHIMURA CURVES

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

T-ADIC L-FUNCTIONS OF p-ADIC EXPONENTIAL SUMS

The T -adic deformation of p-adic exponential sums is defined. It interpolates all classical p-power order exponential sums over a finite field. Its generating L-function is a T -adic entire function. We give a lower bound for its T -adic Newton polygon and show that the lower bound is often sharp. We also study the variation of this L-function in an algebraic family, in particular, the T -adic...