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Statistical Investigation of Increments of Currency Rates Logarithms
Currency Rates Logarithms Statistical Investigation Statistics Theory
2011/9/15
Abstract: We consider the currency rates dynamics for 12 currencies, including dollar and euro, with respect to Russian rouble. We prove that the Samuelson model (geometric Brownian motion) is not sui...
A recursion identity for formal iterated logarithms and iterated exponentials
recursion identity formal iterated logarithms iterated exponentials
2011/1/18
We prove a recursive identity involving formal iterated logarithms and for-mal iterated exponentials. These iterated logarithms and exponentials appear in a nat-ural extension of the logarithmic forma...
The complex AGM, periods of elliptic curves over C and complex elliptic logarithms
The complex AGM elliptic curves complex elliptic logarithms
2010/11/9
We present a method for computing period lattices and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean (AGM) first studied by Gauss. Earlier authors ...
Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine
Logarithms of iteration matrices proof of a conjecture by Shadrin Zvonkine
2010/12/14
A proof for a conjecture by Shadrin and Zvonkine, relating the en-tries of a matrix arising in the study of Hurwitz numbers to a certain sequence of rational numbers, is given. The main tools used are...
ALGEBRAIC INDEPENDENCE OF PERIODS AND LOGARITHMS OF DRINFELD MODULES
Algebraic independence Drinfeld modules
2015/7/6
On a Problem of Mahler Concerning the Approximation of Exponentials and Logarithms
Mahler Concerning Approximation of Exponentials Logarithms
2010/11/1
We first propose two conjectural estimates on Diophantine approximation of logarithms of algebraic numbers. Next we discuss the state of the art and we give further partial results on this topic.