Olivier Ramaré

most citedCounting ideals in ray classes

3 citations · 3 across the 3 of their papers we have counts for

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math.NT2022

A modular analogue of a problem of Vinogradov

Ratnadeep Acharya, Sary Drappeau, Satadal Ganguly +1

Given a primitive, non-CM, holomorphic cusp form $f$ with normalized Fourier coefficients $a (n)$ and given an interval $I \subset [- 2, 2]$ , we study the least prime $p$ such that $a…

math.NT2022

Product of three primes in large arithmetic progressions

Ramachandran Balasubramanian, Olivier Ramaré, Priyamvad Srivastav

For any $ε > 0$ , there exists $q_{0} (ε)$ such for any $q \geq q_{0} (ε)$ and any invertible residue class $a$ modulo $q$ , there exists a natural number that is congruent to $a$ modulo $q$ a…

math.NT2022★ 3 cited

Counting ideals in ray classes

Sanoli Gun, Olivier Ramaré, Jyothsnaa Sivaraman

Let $K$ be a number field and $q$ an integral ideal in $O_{K}$ . A result of Tatuzawa from 1973, computes the asymptotic (with an error term)…