Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Kuehn, Ulf"'
Formal multiple zeta values allow to study multiple zeta values by algebraic methods in a way that the open question about their transcendence is circumvented. In this note we show that Hoffman's basis conjecture for formal multiple zeta values is im
Externí odkaz:
http://arxiv.org/abs/2406.13630
We introduce the formal double Eisenstein space $\mathcal{E}_k$, which is a generalization of the formal double zeta space $\mathcal{D}_k$ of Gangl-Kaneko-Zagier, and prove analogues of the sum formula and parity result for formal double Eisenstein s
Externí odkaz:
http://arxiv.org/abs/2109.04267
Autor:
Bachmann, Henrik, Kuehn, Ulf
We study a class of q-analogues of multiple zeta values given by certain formal q-series with rational coefficients. After introducing a notion of weight and depth for these q-analogues of multiple zeta values we present dimension conjectures for the
Externí odkaz:
http://arxiv.org/abs/1708.07464
Autor:
Kühn, Ulf, Müller, J. Steffen
We present a framework for constructing examples of smooth projective curves over number fields with explicitly given elements in their second K-group using elementary algebraic geometry. This leads to new examples for hyperelliptic curves and smooth
Externí odkaz:
http://arxiv.org/abs/1504.01755
Autor:
Bachmann, Henrik, Kuehn, Ulf
In [Ok] Okounkov studies a specific $q$-analogue of multiple zeta values and makes some conjectures on their algebraic structure. In this note we compare Okounkovs $q$-analogues to the generating function for multiple divisor sums defined in [BK1]. W
Externí odkaz:
http://arxiv.org/abs/1407.6796
A theorem by Mumford implies that every automorphic line bundle on a pure open Shimura variety, equipped with an invariant smooth metric, can be uniquely extended as a line bundle on a toroidal compactification of the variety, in such a way that the
Externí odkaz:
http://arxiv.org/abs/1405.3075
Autor:
Bachmann, Henrik, Kuehn, Ulf
We study the algebra MD of generating function for multiple divisor sums and its connections to multiple zeta values. The generating functions for multiple divisor sums are formal power series in q with coefficients in Q arising from the calculation
Externí odkaz:
http://arxiv.org/abs/1309.3920
Autor:
Kühn, Ulf, Müller, J. Steffen
In this short note we show that the uniform abc-conjecture over number fields puts strong restrictions on the coordinates of rational points on elliptic curves. For the proof we use a variant of the uniform abc-conjecture over number fields formulate
Externí odkaz:
http://arxiv.org/abs/1210.6543
Autor:
Berndt, Rolf, Kuehn, Ulf
Around 2000 Kudla presented conjectures about deep relations between arithmetic intersection theory, Eisenstein series and their derivatives, and special values of Rankin $L-$series. The aim of this text is to work out the details of an old unpublish
Externí odkaz:
http://arxiv.org/abs/1209.3949
Autor:
Kühn, Ulf, Müller, Jan Steffen
We give an explicitly computable lower bound for the arithmetic self-intersection number of the dualizing sheaf on a large class of arithmetic surfaces. If some technical conditions are satisfied, then this lower bound is positive. In particular, the
Externí odkaz:
http://arxiv.org/abs/1205.3274