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12 papers · 1 filter
Torsion points of abelian varieties with values in infinite extensions over a p-adic field
Yoshiyasu Ozeki
Let be an abelian variety over a -adic field and an algebraic infinite extension over . We consider the finiteness of the torsion part of the group of rational po…
Lifting Galois representations over arbitrary number fields
Yoshiyuki Tomiyama
It is proved that every two-dimensional residual Galois representation of the absolute Galois group of an arbitrary number field lifts to a characteristic zero -adic representat…
A note on evaluations of multiple zeta values
Shuichi Muneta
Multiple zeta values (MZVs) with certain repeated arguments or certain sums of cyclically generated MZVs are evaluated as rational multiple of powers of . In this paper, we gi…
A variation of multiple -values arising from the spectral zeta function of the non-commutative harmonic oscillator
Kazufumi Kimoto, Yoshinori Yamasaki
A variation of multiple -values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic oscillator, is introduced.…
Algebraic setup of non-strict multiple zeta values
Shuichi Muneta
In this article, we introduce an algebraic setup of non-strict multiple zeta values (NMZVs, for short) and prove some relations of NMZVs, which are analogous to Hoffman's relations…
Elliptic curves related to cyclic cubic extensions
Rintaro Kozuma
The aim of this paper is to study certain family of elliptic curves defined over a number field arising from hyperplane sections of some cubic surface $\m…