11 citations · 11 across the 3 of their papers we have counts for
6 papers
Sums of inverses in thin sets of finite fields
Igor E. Shparlinski, Ana Zumalacárregui
We obtain lower bounds for the cardinality of -fold sum-sets of reciprocals of elements of suitable defined short intervals in high degree extensions of finite fields. Combining…
Salajan's conjecture on discriminating terms in an exponential sequence
Pieter Moree, Ana Zumalacárregui
Given a sequence of distinct positive integers and any positive integer , the discriminator is defined as the smallest positive integer such $v_1,\…
The least common multiple of random sets of positive integers
Javier Cilleruelo, Juanjo Rué, Paulius Šarka +1
We study the typical behavior of the least common multiple of the elements of a random subset . For example we prove that $\text{lcm}\{a:\ a\in A\}=2^{n(1+…
Points on curves in small boxes en applications
Mei-Chu Chang, Javier Cilleruelo, Moubariz Z. Garaev +3
We introduce several new methods to obtain upper bounds on the number of solutions of the congruences and with a prime and a…
On the error term of the logarithm of the lcm of a quadratic sequence
Juanjo Rué, Paulius Šarka, Ana Zumalacárregui
We study the logarithm of the least common multiple of the sequence of integers given by . Using a result of Homma on the distribution of roots of quadrati…
Concentration of points on Modular Quadratic Forms
Ana Zumalacárregui
Let be a quadratic form with discriminant . We obtain non trivial upper bound estimates for the number of solutions of the congruence , whe…