Ana Zumalacárregui

CONCENTRATION OF POINTS ON MODULAR QUADRATIC FORMS

Let

On the sum of digits of some sequences of integers

Q(x,y)

Threshold functions for systems of equations on random sets

be a quadratic form with discriminant

Threshold functions and Poisson convergence for systems of equations in random sets

D\neq 0

Points on curves in small boxes and applications

. We obtain non trivial upper bound estimates for the number of solutions of the congruence

ISOMORPHISM CLASSES OF ELLIPTIC CURVES OVER A FINITE FIELD IN SOME THIN FAMILIES

Q(x,y)\equiv\lambda \pmod{p}

Salajan's conjecture on discriminating terms in an exponential sequence

, where

The least common multiple of random sets of positive integers

p

An additive problem in finite fields with powers of elements of large multiplicative order

is a prime and

On the error term of the logarithm of the lcm of quadratic sequences

x,y