The complete determination of wide Richaud-Degert types which are not 5 modulo 8 with class number one
The derivative of p-adic L-functions
The distribution of zeros of Epstein zeta functions over GLₙ
The Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function
The Fourier expansion of Epstein's zeta function over an algebraic number field and its consequences for algebraic number theory
The Galois module structure of algebraic integer rings in fields with generalised quaternion group
The growth rate of the Dedekind Zeta-function on the critical line
The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.
The least prime which does not split completely.
The multiplicative and functional independence of Dedekind zeta functions of abelian fields
It is shown that the multiplicative independence of Dedekind zeta functions of abelian fields is equivalent to their functional independence. We also give all the possible multiplicative dependence relations for any set of Dedekind zeta functions of abelian fields.
The Normal Density of Prime Ideals in Small Regions.
The refined p-adic abelian Stark conjecture in function fields.
The Rosser-Iwaniec sieve in number fields, with an application
The universality of quadratic L-series for prime discriminants
The universality theorem for class group L-functions
The universality theorem for L-functions associated with ideal class characters
Theoretical evidence in support of the extended abelian rank one Stark conjecture for the base field ℚ
Theta Series of Imaginary Quadratic Function Fields.
Travaux de Coates et Wiles sur la conjecture de Birch et Swinnerton-Dyer
Twisted Dirichlet series and distributions