The current formulation of the generalized Ramanujan conjecture is for a globally generic cuspidal automorphic representation of a connected reductive group, ... Ramanujan conjecture · Bounds towards Ramanujan...

9 дек. 2019 г. · In this paper, we review the Ramanujan conjecture in classical and modern settings and explain its various applications in computer science, ... The Ramanujan conjecture · Various applications of the...

In this paper, we review the Ramanujan conjecture in classical and modern settings and explain its various applications in computer science, including.

Ramanujan's original conjecture is concerned with the estimation of Fourier coefficients of the weight 12 holomorphic cusp form ∆ for SL(2, Z) on the upper ...

22 дек. 2020 г. · The Ramanujan conjecture in general form asserts that a generic cuspidal automorphic irreducible unitary representation of a reductive group ...

Ramanujan's conjectures. edit. Ramanujan (1916) observed, but did not prove, the following three properties of τ(n): τ(mn) = τ(m)τ(n) if gcd(m,n) = 1 (meaning ...

31 мар. 2021 г. · Abstract:In this paper we prove two results pertaining to the (unramified and global) geometric Langlands program.

25 февр. 2021 г. · The Wikipedia article clearly states Ramanujan's conjecture for the modular discriminant function, but doesn't state the generalizations clearly ... Deligne's proof of Ramanujan's conjecture - MathOverflow Ramanujan-Petersson conjecture at various cusps Другие результаты с сайта mathoverflow.net

The main result obtained in this chapter is the proof of the Ramanujan conjecture for GSp(4) for cohomological automorphic forms which are not cuspidal ...