Results 61 to 70 of about 17,792 (168)
Representation Growth of Linear Groups
, 2008 Let $\Gamma$ be a group and $r_n(\Gamma)$ the number of its $n$-dimensional irreducible complex representations. We define and study the associated representation zeta function $\calz_\Gamma(s) = \suml^\infty_{n=1} r_n(\Gamma)n^{-s}$. When $\Gamma$ is an
Larsen, M., Lubotzky, A.
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Zeta functions of two-sided ideals in arithmetic orders
Mathematische Zeitschrift, 1986 The author makes a substantial contribution to the investigation of a general ''zeta function'' introduced by \textit{L. Solomon} [Adv. Math. 26, 306-326 (1977; Zbl 0374.20007)]. In particular, the definition of Solomon's zeta function replaces the ring R of all algebraic integers in an algebraic number field K by an R-order \(\Lambda\) in a finite ...
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The Intersection of Two Fermat Hypersurfaces in P^3 via Computation of Quotient Curves [PDF]
, 2010 We study the intersection of two particular Fermat hypersurfaces in $\mathbb{P}^3$ over a finite field. Using the Kani-Rosen decomposition we study arithmetic properties of this curve in terms of its quotients.
McGuire, Gary, Singh, Vijaykumar
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, 2015 We derive new results about properties of the Witten zeta function associated with the group SU(3), and use them to prove an asymptotic formula for the number of n-dimensional representations of SU(3) counted up to equivalence.
Romik, Dan
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Dynamical, Spectral, and Arithmetic Zeta Functions [PDF]
, 2001 Michel L. Lapidus +1 more
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Zeta functions over zeros of general zeta and $L$-functions
, 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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Zeta functions of arithmetic orders and Solomon's conjectures [PDF]
Mathematische Zeitschrift, 1980 Reiner, Irving, Bushnell, Colin J.
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A mean-square value of the Riemann zeta function over an arithmetic progression
, 2022 Hirotaka Kobayashi
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On the influence of the arithmetical character of the parameters for the Lerch zeta-function
, 2002 Jolita Ignatavičiūtė
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