Simple zeros of the zeta function of a quadratic number field. I.
Small values of zeta-functions of quadratic fields.
Sobre el índice de irregularidad de los números primos.
Solution of the Classs Number Two Problem for Cyclotomic Fields.
Some Analytic Bounds for Zeta Functions and Class Numbers.
Some Analytic Estimates of Class Numbers and Discriminants.
Some Effective Cases of the Brauer-Siegel Theorem.
Some estimates in the theory of Dedekind Zeta-functions
Some functions related to the derivatives of the L-series of an elliptic curve at s=1
Some meromorphic functions associated to the S-unit equation
Some new maps and ideals in classical Iwasawa theory with applications
We introduce a new ideal of the p-adic Galois group-ring associated to a real abelian field and a related ideal for imaginary abelian fields, Both result from an equivariant, Kummer-type pairing applied to Stark units in a -tower of abelian fields, and is linked by explicit reciprocity to a third ideal studied more generally in [D. Solomon, Acta Arith. 143 (2010)]. This leads to a new and unifying framework for the Iwasawa theory of such fields including a real analogue of Stickelberger’s Theorem,...
Some problems in multidimensional analytic number theory
Some remarks on L-functions and class numbers
Spacing of zeros of Hecke L-functions and the class number problem
Special Values of Artin L-Series.
Standard relations of multiple polylogarithm values at roots of unity.
Stark's conjecture in multi-quadratic extensions, revisited
Stark’s conjectures connect special units in number fields with special values of -functions attached to these fields. We consider the fundamental equality of Stark’s refined conjecture for the case of an abelian Galois group, and prove it when this group has exponent . For biquadratic extensions and most others, we prove more, establishing the conjecture in full.
Stickelberger elements in function fields
Structure galoisienne des anneaux d'entiers des extensions de Kummer
Structure galoisienne des anneaux d'entiers d'extensions sauvagement ramifiées