Results 11 to 20 of about 71,113 (177)
Zeta functions of regular arithmetic schemes at s=0 [PDF]
Duke Mathematical Journal, 2013 Lichtenbaum conjectured the existence of a Weil-\'etale cohomology in order to describe the vanishing order and the special value of the Zeta function of an arithmetic scheme $\mathcal{X}$ at $s=0$ in terms of Euler-Poincar\'e characteristics.
Morin, Baptiste
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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
Pavel Trojovský
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The Riemann Zeta Function on Arithmetic Progressions [PDF]
Experimental Mathematics, 2012 We prove asymptotic formulas for the first discrete moment of the Riemann zeta function on certain vertical arithmetic progressions inside the critical strip. The results give some heuristic arguments for a stochastic periodicity that we observed in the phase portrait of the zeta function.
Jörn Steuding, Elías Wegert
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The Mean Square of the Hurwitz Zeta-Function in Short Intervals
AxiomsThe Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter ...
Antanas Laurinčikas +1 more
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On the General Divergent Arithmetic Sums over the Primes and the Symmetries of Riemann’s Zeta Function [PDF]
SymmetryIn this paper, we address the problem of the divergent sums of general arithmetic functions over the set of primes. In classical analytic number theory, the sum of the logarithm of the prime numbers plays a crucial role. We consider the sums of powers of
L. Acedo
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Universality theorems of Selberg zeta functions for arithmetic groups [PDF]
Quarterly Journal of MathematicsWe prove a universality theorem for the Selberg zeta function of subgroups of $\mathrm{SL}_2(\mathbb{Z})$ or co-compact arithmetic groups derived from quaternion algebras, in the strip $\{5/6 \lt \mathrm{Re}{s} \lt 1\}$, improving the range compared ...
Yasufumi Hashimoto
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On Zeta Functions of Arithmetically Defined Graphs
Finite Fields and Their Applications, 1999 AbstractWe study the graphX(n) that is defined as the finite part of the quotient Γ(n)\T, with T the Bruhat–Tits tree over Fq((1/T)) and Γ(n) the principal congruence subgroup of Γ=GL2(Fq[T]) of leveln∈Fq[T]. We give concrete realizations of theL-functions of the finite part of the halfline Γ\T for finite unitary representations of Γ that factor over Γ(
Ortwin Scheja
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Arithmetic progressions of zeros of the Riemann zeta function
Journal of Number Theory, 2005 AbstractIf the Riemann zeta function vanishes at each point of the finite arithmetic progression {D+inp ...
Machiel van Frankenhuijsen
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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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