6 papers
Bilinear forms with Kloosterman sums via quadratic characters
Valentin Blomer, Alexandru Pascadi
We prove new bounds for bilinear forms with Kloosterman sums, valid for all moduli c. In the critical range where the summation length is the square root of the modulus, the saving…
Non-abelian amplification and bilinear forms with Kloosterman sums
Alexandru Pascadi
We introduce a new method to bound bilinear (Type II) sums of Kloosterman sums with composite moduli , using Fourier analysis on and an a…
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of
Alexandru Pascadi
We prove new large sieve inequalities for the Fourier coefficients of exceptional Maass forms of a given level, weighted by sequences with sparse Fo…
Large sieves for and applications
Alexandru Pascadi, Jesse Thorner
Let be the set of unitary cuspidal automorphic representations of over a number field , and let be an arbitrary finit…
On the exponents of distribution of primes and smooth numbers
Alexandru Pascadi
We show that both primes and smooth numbers are equidistributed in arithmetic progressions to moduli up to , using triply-well-factorable weights for the primes (we…
Smooth numbers in arithmetic progressions to large moduli
Alexandru Pascadi
We show that smooth numbers are equidistributed in arithmetic progressions to moduli of size . This overcomes a longstanding barrier of present in p…