Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke
Quotients of Theta Series as Rational Functions of J and ?.
Rademacher-Carlitz polynomials
We introduce and study the Rademacher-Carlitz polynomial where , s,t ∈ ℝ, and u and v are variables. These polynomials generalize and unify various Dedekind-like sums and polynomials; most naturally, one may view R(u,v,s,t,a,b) as a polynomial analogue (in the sense of Carlitz) of the Dedekind-Rademacher sum , which appears in various number-theoretic, combinatorial, geometric, and computational contexts. Our results come in three flavors: we prove a reciprocity theorem for Rademacher-Carlitz...
Ramanujan duals II.
Ramanujan identities and Euler products for a type of Dirichlet series
Ramanujan-Identitäten zur Reziproken der Jacobischen Funktion .. .
Ramanujan's class invariants and cubic continued fraction
Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
Ramanujan's cubic continued fraction revisited
Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
Ramanujan's identities for eta-functions.
Ramanujan's modular equations
Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary.
Ramification and moduli spaces of finite flat models
We determine the type of the zeta functions and the range of the dimensions of the moduli spaces of finite flat models of two-dimensional local Galois representations over finite fields. This gives a generalization of Raynaud’s theorem on the uniqueness of finite flat models in low ramifications.
Random matrix theory and the Fourier coefficients of half-integral weight forms.
Rank generating functions as weakly holomorphic modular forms
Rank zero quadratic twists of modular elliptic curves
Rank-Crank type PDE's for higher level Appell functions
Rankin triple L functions
Rankin–Cohen brackets and representations of conformal Lie groups
This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010.The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a non-commutative product...