3 citations · 4 across the 11 of their papers we have counts for
12 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 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…
Density theorems for via Rankin-Selberg -functions
Jared Duker Lichtman, Alexandru Pascadi
We obtain density theorems for cuspidal automorphic representations of over which fail the generalized Ramanujan conjecture at some place. We depart from…
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 Fou…
The sparse regularity method with Schatten norms and entropy
Alexandru Pascadi
We introduce a regularity method for sparse graphs, with new regularity and counting lemmas which use the Schatten-von-Neumann norms to measure uniformity. This leads to -cycle…
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…
Several new product identities in relation to two-variable Rogers-Ramanujan type sums and mock theta functions
Alexandru Pascadi
Product identities in two variables expand infinite products as infinite sums, which are linear combinations of theta functions; famous examples include Jacobi's triple prod…
Patterns of primes in the Sato-Tate conjecture
Nate Gillman, Michael Kural, Alexandru Pascadi +2
Fix a non-CM elliptic curve , and let denote the trace of Frobenius at . The Sato-Tate conjecture gives the limiting distribut…
Computer-Assisted Proofs of Congruences for Multipartitions and Divisor Function Convolutions, based on Methods of Differential Algebra
Alexandru Pascadi
This paper provides algebraic proofs for several types of congruences involving the multipartition function and self-convolutions of the divisor function. Our computations use meth…
A Graphical Approach to Finding the Frobenius Number, Genus and Hilbert Series of a Numerical Semigroup
Alexandru Pascadi
This paper proposes a new, visual method to study numerical semigroups and the Frobenius problem. The method is based on building a so-called reduction graph, whose nodes usually c…