Let H/F be a finite abelian extension of number fields with F totally real and H a CM field. Let
S and T be disjoint finite sets of places of F satisfying the standard conditions. The Brumer …

In 1980, Gross conjectured a formula for the expected leading term at s=0 of the Deligne--
Ribet p-adic L-function associated to a totally even character ψ of a totally real field F. The …

The values of the Dedekind–Rademacher cocycle at certain real quadratic arguments are
shown to be global p-units in the narrow Hilbert class field of the associated real quadratic …

We define a cocycle on GLn. Q/using Shintani's method. This construction is closely related
to earlier work of Solomon and Hill, but differs in that the cocycle property is achieved …

We define an integral version of Sczech's Eisenstein cocycle on GLn by smoothing at a
prime ell. As a result we obtain a new proof of the integrality of the values at nonpositive …

Let χ χ be a Hecke character of finite order of a totally real number field F F. By using Hill's
Shintani cocycle we provide a cohomological construction of the p p-adic L L-series L_p (χ …

We prove a conjecture of Gross regarding the “order of vanishing” of Stickelberger elements
relative to an abelian tower of fields and give a cohomological construction of the conjectural …

COMPUTING p-ADIC L-FUNCTIONS OF TOTALLY REAL FIELDS 1. I We describe an
algorithm for computing p-adic L-functions of characters Page 1 COMPUTING p-ADIC L-FUNCTIONS …

arXiv:2211.01715v1 [math.NT] 3 Nov 2022 Page 1 arXiv:2211.01715v1 [math.NT] 3 Nov
2022 On the Equality of Three Formulas for Brumer–Stark Units Samit Dasgupta Matthew H …

Overconvergent modular forms and their explicit arithmetic Page 1 BULLETIN (New Series) OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 58, Number 3, July 2021, Pages 313–356 …