Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications arithmétiques
Sous-suites équiréparties d'une suite donnée
Sous-suites polynomiales de certaines suites automatiques
Spaces of orderings of fields under finite extensions.
Spacing of zeros of Hecke L-functions and the class number problem
Sparse polynomial exponential sums
Sparsely totient numbers
Sparsity of the intersection of polynomial images of an interval
We show that the intersection of the images of two polynomial maps on a given interval is sparse. More precisely, we prove the following. Let be polynomials of degrees d and e with d ≥ e ≥ 2. Suppose M ∈ ℤ satisfies , where E = e(e+1)/2 and κ = (1/d - 1/d²) (E-1)/E + ε. Assume f(x)-g(y) is absolutely irreducible. Then .
Special invariant subspaces of a vector space over
Special multi-poly-Bernoulli numbers.
Special values and mixed weight triple products (With an Appendix by Don Blasius).
Special Values of Artin L-Series.
Special values of Hilbert modular functions.
Recently, Baily has established new foundation for complex multiplication in the context of Hilbert modular functions; see [1]-[4]. However, in his treatment there is a restriction on the class of CM-points treated. Namely, the order of complex multiplications associated to the point must be the maximal order in its quotient field. The purpose of this paper is two-fold: (1) to remove the restriction just mentioned; (2) to recover a result of Tate on the conjugates of CM-points by arbitrary Galois...
Special values of multiple gamma functions
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
Special values of symmetric power -functions and Hecke eigenvalues
We compute the moments of -functions of symmetric powers of modular forms at the edge of the critical strip, twisted by the central value of the -functions of modular forms. We show that, in the case of even powers, it is equivalent to twist by the value at the edge of the critical strip of the symmetric square -functions. We deduce information on the size of symmetric power -functions at the edge of the critical strip in subfamilies. In a second part, we study the distribution of small and...
Special values of the dilogarithm function
Special values of the elliptic modular function and factorization formulae.
Special values of the standard zeta functions for elliptic modular forms.
Special values of twisted symmetric square -functions and the trace formula
Special values of zeta functions attached to Siegel modular forms