Results 21 to 30 of about 545,098 (196)
Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2002 We obtain an arithmetic expression of the Selberg zeta function for cocompact Fuchsian group defined via an indefinite division quaternion algebra over $\mathbf{Q}$. As application to the prime geodesic theorem, we prove certain uniformity of the distribution.
Arakawa, Tsuneo +2 more
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
Duke Mathematical Journal, 2013 62 pages, minor ...
Benjamin Klopsch +4 more
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Arithmetic calculus of Fourier transforms by Igusa local zeta functions [PDF]
Transactions of the American Mathematical Society, 1994 We show the possibility of explicit calculation of the Fourier transforms of complex powers of relative invariants of some prehomogeneous vector spaces over R \mathbb {R} by using the explicit form of p p -adic Igusa local zeta functions.
Tatsuo Kimura
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Eulerian series, zeta functions and the arithmetic of partitions
, 2020 Ph.D. dissertation (2018, Emory University, advisor Ken Ono) including joint work with Amanda Clemm, Marie Jameson, Ken Ono, Larry Rolen, Maxwell Schneider and Ian Wagner, 228 ...
Robert Schneider
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On the Nature of γ-th Arithmetic Zeta Functions [PDF]
Symmetry, 2020 Symmetry and elementary symmetric functions are main components of the proof of the celebrated Hermite–Lindemann theorem (about the transcendence of e α , for algebraic values of α ) which settled the ancient Greek problem of squaring the circle. In this paper, we are interested in similar results, but for powers such as e γ log n
Pavel Trojovský
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Igusa’s Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials [PDF]
Journal de Théorie des Nombres de Bordeaux, 2018 We study the twisted local zeta function associated to a polynomial in two variables with coefficients in a non-Archimedean local field of arbitrary characteristic. Under the hypothesis that the polynomial is arithmetically non degenerate, we obtain an explicit list of candidates for the poles in terms of geometric data obtained from a family of ...
Adriana A. Albarracin-Mantilla +1 more
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Zeta functions over zeros of general zeta and $L$-functions [PDF]
in book: Zeta Functions, Topology and Quantum Physics, eds. T.
Aoki et al., Springer (2005) pp. 171-196, 2003 We describe in detail three distinct families of generalized zeta functions built over the (nontrivial) zeros of a rather general arithmetic zeta or L-function, extending the scope of two earlier works that treated the Riemann zeros only.
Voros, A.
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On the influence of the arithmetical character of the parameters for the Lerch zeta-function
Lietuvos matematikos rinkinys, 2002 There is not abstract.
Jolita Ignatavičiūtė
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An arithmetic zeta function respecting multiplicities
, 2020 In this paper, we study the arithmetic zeta function $$\mathscr{Z}_{\mathcal{X}}(s) = \prod_p \prod_{\substack{x \in \mathcal{X}_p \\ \text{closed}}} \Big( \frac{1}{1-|κ(x)|^{-s}} \Big)^{\mathfrak{m}_{p}(x)}$$ associated to a scheme $\mathcal{X}$ of finite type over $\mathbb{Z}$, where $κ(x)$ denotes the residue field and $\mathfrak{m}_{p}(x)$ the ...
Lukas Prader
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