3 papers
math.NT2024
Euler Product Sieve
Di Liu, Yuri Matiyasevich, Joseph Oesterlé +1
We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve…
math.NT2020
Critical points of Eisenstein series
Sanoli Gun, Joseph Oesterlé
For any even integer , let $\E_k$ be the normalized Eisenstein series of weight for $\SL_2(\Z)$. Also let $\D$ be the closure of the standard fundamental domain of the…
math.NT2012
The circle method and non lacunarity of Modular Functions
Sanoli Gun, Joseph Oesterlé
Serre proved that any holomorphic cusp form of weight one for is lacunary while a holomorphic modular form for of higher integer weight is lacunary if and only if…