Cartan Bernoulli Numbers as Values of L-Series.
Central binomial sums, multiple Clausen values, and zeta values.
Certain classes of rapidly convergent series representations for L(2n,χ) and L(2n+1,χ)
Certain maximal curves and Cartier operators
Certain mean values and non-vanishing of automorphic L-functions with large level
Certain results involving a class of functions associated with the Hurwitz zeta function.
Charakterisierung des Cotangens mit Replikativität.
Chebotarev sets
We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give necessary conditions for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.
Circles passing through five or more integer points
We find an improvement to Huxley and Konyagin’s current lower bound for the number of circles passing through five integer points. We conjecture that the improved lower bound is the asymptotic formula for the number of circles passing through five integer points. We generalise the result to circles passing through more than five integer points, giving the main theorem in terms of cyclic polygons with m integer point vertices. Theorem. Let m ≥ 4 be a fixed integer. Let be the number of cyclic polygons...
Combinatorial aspects of multiple zeta values.
Combinatorial relations for Euler-Zagier sums
Comments on some formulae of Ramanujan
Complete asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type
Completely q-multiplicative functions: the Mellin transform approach
Complex dimensions of self-similar fractal strings and Diophantine approximation.
Comportement asympotique des hauteurs des points de Heegner
Le terme principal de la moyenne, sur les discriminants quadratiques satisfaisant la condition de Heegner, de la hauteur de Néron-Tate des points de Heegner d’une courbe elliptique rationnelle a été déterminé dans [13]. Les auteurs ont également conjecturé l’expression du terme suivant. Dans cet article, il est démontré que cette expression est correcte et une asymptotique précise, qui sauve une puissance dans le terme d’erreur, est obtenue. Les annulations des coefficients de Fourier de formes...
Computation of relative class numbers of imaginary abelian number fields.
Computations concerning the conjecture of Mertens.
Computer-free evaluation of an infinite double sum via Euler sums.
Computing special values of motivic -functions.