1 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Log-free bounds on exponential sums over primes
Priyamvad Srivastav
We establish completely log-free bounds for exponential sums over the primes and the Möbius function. Let , and suppose , with and $|δ| \leq x…
Convolution of periodic multiplicative functions and the divisor problem
Marco Aymone, Gopal Maiti, Olivier Ramaré +1
We study a certain class of arithmetic functions that appeared in Klurman's classification of multiplicative functions with bounded partial sums, c.f., Comp. Math. 153 (8),…
Product of three primes in large arithmetic progressions
Ramachandran Balasubramanian, Olivier Ramaré, Priyamvad Srivastav
For any , there exists such for any and any invertible residue class modulo , there exists a natural number that is congruent to modulo a…
On correlations of certain multiplicative functions
R. Balasubramanian, Sumit Giri, Priyamvad Srivastav
In this paper, we study sums of shifted products for any and arithmetic functions and , with and small. W…
On Selberg's approximation to the twin prime problem
R. Balasubramanian, Priyamvad Srivastav
In his Classical approximation to the Twin prime problem, Selberg proved that for sufficiently large, there is an such that with $λ=…