A. Stolin

activity

19942022

most citedNew rational solutions of Yang-Baxter equation and deformed Yangians

41 citations · 190 across the 33 of their papers we have counts for

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4 papers · 1 filter

math.NT2020

Vandiver's Conjecture via K-theory

Alexander Stolin

Vandiver's conjecture states that any prime p does not divide the class number $h (R)$ of the maximal real subfield R of the p-th cyclotomic field. The aim of this paper is to prove…

math.NT2010

On Kervaire--Murthy conjecture, Bernoulli and Iwasawa numbers, and zeroes of $p$ -adic $L$ -function

Alexander Stolin

The aim of the present paper is to establish relations between Iwasawa and Bernoulli numbers based on some results by M. Kervaire and M. P. Murthy about the structure of the $K_{0}$ …

math.NT2002

Fine Structure of Class Groups $\cl^{(p)}\Q(\z_n)$ and the Kervaire--Murthy Conjectures II

Ola Helenius, Alexander Stolin

There is an Mayer-Vietoris exact sequence involving the Picard group of the integer group ring $Z C_{p^{n}}$ where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $ζ_{n - 1}$ is a pr…

math.NT2002

Fine Structure of Class Groups of Prime Power Cyclotomic Fields and the Kervaire-Murthy Conjectures

Ola Helenius, Alexander Stolin

In 1977 Kervaire and Murthy presented three conjectures regarding $K_{0} Z C_{p^{n}}$ , where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $p$ is a semi-regular prime. The…

Vandiver's Conjecture via K-theory

On Kervaire--Murthy conjecture, Bernoulli and Iwasawa numbers, and zeroes of p-adic L-function

Fine Structure of Class Groups $\cl^{(p)}\Q(\z_n)$ and the Kervaire--Murthy Conjectures II

Fine Structure of Class Groups of Prime Power Cyclotomic Fields and the Kervaire-Murthy Conjectures

On Kervaire--Murthy conjecture, Bernoulli and Iwasawa numbers, and zeroes of $p$ -adic $L$ -function