Local behaviour of a class of multiplicative functions
Loi de répartition moyenne des diviseurs des entiers friables
In this paper we consider an extension to friable integers of the arcsine law for the mean distribution of the divisors of integers, originally due to Deshouillers, Dress and Tenenbaum.We describe the limit law and show that it departs from the arcsine law when the friability parameter increases. More precisely, as , the mean distribution shifts from the arcsine law towards Gaussian behaviour.
Lois de répartition des diviseurs
Lois de répartition des diviseurs, 2
Lower bounds for a certain class of error functions
Majorations de la fonction sommatoire de la fonction de Möbius
Mean square of the remainder term in the Dirichlet divisor problem II
Mean square of the remainder term in the Dirichlet divisor problem
Mean values connected with the Dedekind zeta-function of a non-normal cubic field
After Landau’s famous work, many authors contributed to some mean values connected with the Dedekind zetafunction. In this paper, we are interested in the integral power sums of the coefficients of the Dedekind zeta function of a non-normal cubic extension K 3/ℚ, i.e. , where M(m) denotes the number of integral ideals of the field K 3 of norm m and l ∈ ℕ. We improve the previous results for and .
Mean values of a gcd-sum function over regular integers modulo .
Mean values of generalized gcd-sum and lcm-sum functions.
Minimal Niven numbers
Mittelwert der Eulerschen ...-Funktion und des Quadrates der Dirichletschen Teilerfunktion in algebraischen Zahlkörpern.
Mittelwerte zahlentheoretischer Funktionen und lineare Kongruenzsysteme.
Mittlere Darstellungen natürlicher Zahlen als Summe von -ten Potenzen
Moment convergence and the law of iterated logarithm for additive functions
Moments of additive functions and special sets
Monotonicity of multiplicative functions
Multiple finite Riemann zeta functions
Multiplicative functions dictated by Artin symbols
Granville and Soundararajan have recently suggested that a general study of multiplicative functions could form the basis of analytic number theory without zeros of L-functions; this is the so-called pretentious view of analytic number theory. Here we study multiplicative functions which arise from the arithmetic of number fields. For each finite Galois extension K/ℚ, we construct a natural class of completely multiplicative functions whose values are dictated by Artin symbols, and we show that...