Let ω be a real quadratic irrational number with 0<ω<1, and put (1) Fω(z1,Z2)=[?] The series Fω(z1,z2) converges in the domain {|z1|<1, |z1|z2|ω<1}. ..
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
RésuméLet Fq(T)=k, withq=2r, be the rational function field over a finite field of characteristic 2,...
AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the ...
Let r≧2 be a fixed integer. Any positive integer n can be uniquely written in the form (1) n=Σ^k_f=...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
AbstractIt is proved that the function Θ(z)=∑k⩾0zR0+R1+⋯+Rk(1−zR0)(1−zR1)⋯(1−zRk), which can be expr...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractWe prove that, if f(z) is an entire function and ¦f(z)¦ ⩽ (A1 + A2 ¦z¦n) exp[ax2 + by2 + cx ...
AbstractCongruences modulo 8 for class numbers h and h∗ of Q(√m) and Q(√−m) are obtained, 3 < m ∈ Z ...
AbstractLet α > 1. Denoting by [x] the integer part of x, we give complete answers to the following ...
AbstractWe prove Q-linear independence results for the values of the q-seriesTqt(z)=∑ν=0∞q−tν(ν+1)/2...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
RésuméLet Fq(T)=k, withq=2r, be the rational function field over a finite field of characteristic 2,...
AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the ...
Let r≧2 be a fixed integer. Any positive integer n can be uniquely written in the form (1) n=Σ^k_f=...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
AbstractIt is proved that the function Θ(z)=∑k⩾0zR0+R1+⋯+Rk(1−zR0)(1−zR1)⋯(1−zRk), which can be expr...
AbstractLet a(k,n) be the k-th coefficient of the n-th cyclotomic polynomials. In 1987, J. Suzuki pr...
AbstractWe prove that, if f(z) is an entire function and ¦f(z)¦ ⩽ (A1 + A2 ¦z¦n) exp[ax2 + by2 + cx ...
AbstractCongruences modulo 8 for class numbers h and h∗ of Q(√m) and Q(√−m) are obtained, 3 < m ∈ Z ...
AbstractLet α > 1. Denoting by [x] the integer part of x, we give complete answers to the following ...
AbstractWe prove Q-linear independence results for the values of the q-seriesTqt(z)=∑ν=0∞q−tν(ν+1)/2...
AbstractLet f(x1, x2,…, xn) be a polynomial with rational integral coefficients. Let d(f) be the gre...
RésuméLet Fq(T)=k, withq=2r, be the rational function field over a finite field of characteristic 2,...
AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the ...
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