2 citations · 6 across the 16 of their papers we have counts for
5 papers · 1 filter
Generalized Mertens sums
Gérald Tenenbaum
Extending a classical estimate of Mertens for the sum of the reciprocals of the first primes, we provide an explicit remainder formula for products of an arbitrary, but fixed, numb…
Some of Erd\H os' unconventional problems in number theory, thirty-four years later
Gérald Tenenbaum
We give an historical account, including recent progress, on some problems of Erd\H os in number theory.
Small Gál sums and applications
Régis de la Bretèche, Marc Munsch, Gérald Tenenbaum
In recent years, maximizing Gál sums regained interest due to a firm link with large values of -functions. In the present paper, we initiate an investigation of small sums of Gá…
A note on the normal largest gap between prime factors
Gérald Tenenbaum
Let denote the increasing sequence of distinct prime factors of an integer . We provide details for the proof of a statement of Erdős implying that, fo…
Power partitions and saddle-point method
Gérald Tenenbaum, Jie Wu, Yali Li
For , denote by the number of partitions of an integer into -th powers. In this note, we apply the saddle-point method to provide a new proof for the…