A Siegel modular 3-fold that is a Picard modular 3-fold
A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra
For every simple finite-dimensional complex Lie algebra, I give a simple construction of all (except for the Pfaffian) basic polynomials invariant under the Weyl group. The answer is given in terms of the two basic polynomials of smallest degree.
A spanning set for the space of super cusp forms.
A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group.
A stationary phase formula for exponential sums over and applications to GL(3)-Kloosterman sums
A sum analogous to Dedekind sums and its hybrid mean value formula
A supersingular congruence for modular forms
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A System of Free Generators for the Universal even Ordinary Z(2) Distribution on Q2k-Z2k .
A test for identifying Fourier coefficients of automorphic forms and application to Kloosterman sums.
A trace formula for Jacobi forms.
A trace formula for reductive groups. II : applications of a truncation operator
A unitary criterion for p-adic groups.
Abelova cena v roce 2018 udělena za Langlandsův program
V článku motivujeme a vysvětlíme základy Langlandsova programu, sítě domněnek propojujících řadu různých oblastí matematiky. Během toho se také setkáme s Riemannovou hypotézou a domněnkou Birche a Swinnerton-Dyera, dvěma ze sedmi problémů tisíciletí vyhlášených Clayovým matematickým institutem.
About a new kind of Ramanujan-type series.
Action of Hecke Operator T(p) on Theta Series.
Action of Hecke operators on products of Igusa theta constants with rational characteristics
Addendum : Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Admissible -adic measures attached to triple products of elliptic cusp forms.
Affine Lie algebras and modular forms