AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dirichlet product is considered. Measures for algebraic independence are derived
In 1972, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i. e., if the...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
AbstractLet σj(n)=∑d|ndj be the sum of divisors function, and let I be the identity function. When c...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
We investigate the notion of independence, which is at the basis of many, seemingly unrelated, prope...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
AbstractA linear independence measure is obtained for certain values of a p-adic function Σn=0∞qn(n ...
Using the sieve for Frobenius developed earlier by the author, we show that in a certain sense, the ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46230/1/208_2005_Article_BF01450920.pd
AbstractWe provide a measure for the algebraic independence of some special values of the Weierstras...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
"Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiro...
In 1972, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i. e., if the...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
AbstractLet σj(n)=∑d|ndj be the sum of divisors function, and let I be the identity function. When c...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
We investigate the notion of independence, which is at the basis of many, seemingly unrelated, prope...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
AbstractA linear independence measure is obtained for certain values of a p-adic function Σn=0∞qn(n ...
Using the sieve for Frobenius developed earlier by the author, we show that in a certain sense, the ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46230/1/208_2005_Article_BF01450920.pd
AbstractWe provide a measure for the algebraic independence of some special values of the Weierstras...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
"Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiro...
In 1972, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i. e., if the...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
AbstractLet σj(n)=∑d|ndj be the sum of divisors function, and let I be the identity function. When c...
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