In this paper, we considered two generalisations of the classical Titchmarsh divisor problem: friable variant and short intervals
We give a discussion on the properties of δa(x) (-1 < a < 0), which is a generalization of the error...
In this paper, we give lower bounds for $\int_0^H \vert F(it)\vert^k\,dt$, where $k=1$ or $2$ and $F...
The history of mathematical methods underlying the study of dispersion relations in physic...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are u...
© 2016, Hebrew University of Jerusalem. We investigate the behavior of the divisor function in both ...
International audienceIn this paper we study several divisor problems related to the Epstein zeta-fu...
If m is a positive integer, not a perfect square, there are two obvious kinds of Frobenius problems ...
In this paper we completely solve two questions concerning the divisor function and the pseudo - Sma...
Many problems of stability in the theory of dynamical systems face the difficulty of small divisors....
In this paper we study the symmetry of the divisor function in almost all short intervals. We use th...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
Let $F(s)$ be a Titchmarsh series, i.e. a kind of Dirichlet series, the coefficients of which are su...
Call integer y friable if its largest prime factor does not exceed y. We study friable integers in t...
In this edition of ‘Adventures’ we study a curious problem concerning the divisors of a certain num...
We give a discussion on the properties of δa(x) (-1 < a < 0), which is a generalization of the error...
In this paper, we give lower bounds for $\int_0^H \vert F(it)\vert^k\,dt$, where $k=1$ or $2$ and $F...
The history of mathematical methods underlying the study of dispersion relations in physic...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are u...
© 2016, Hebrew University of Jerusalem. We investigate the behavior of the divisor function in both ...
International audienceIn this paper we study several divisor problems related to the Epstein zeta-fu...
If m is a positive integer, not a perfect square, there are two obvious kinds of Frobenius problems ...
In this paper we completely solve two questions concerning the divisor function and the pseudo - Sma...
Many problems of stability in the theory of dynamical systems face the difficulty of small divisors....
In this paper we study the symmetry of the divisor function in almost all short intervals. We use th...
International audienceGiven a multiplicative function~$f$ which is periodic over the primes, we obta...
Let $F(s)$ be a Titchmarsh series, i.e. a kind of Dirichlet series, the coefficients of which are su...
Call integer y friable if its largest prime factor does not exceed y. We study friable integers in t...
In this edition of ‘Adventures’ we study a curious problem concerning the divisors of a certain num...
We give a discussion on the properties of δa(x) (-1 < a < 0), which is a generalization of the error...
In this paper, we give lower bounds for $\int_0^H \vert F(it)\vert^k\,dt$, where $k=1$ or $2$ and $F...
The history of mathematical methods underlying the study of dispersion relations in physic...