Results 171 to 180 of about 545,098 (196)
Adelic Approach to the Zeta Function of Arithmetic Schemes in Dimension Two [PDF]
This paper suggests a new approach to the study of the fun- damental properties of the zeta function of a model of elliptic curve over a global field. This complex valued commutative approach is a two-di- mensional extension of the classical adelic analysis of Tate and Iwasawa.
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Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields [PDF]
In the advanced course given at Centre de Recerca Matem`atica, consisting of twelve hour lectures from 22 February to 5 March 2010, we described results and discussed some open problems regarding the gamma and zeta functions in the function field context.
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REPRESENTATIONS OF ARITHMETIC SUMS OVER NON-TRIVIAL ZEROS OF THE ZETA FUNCTION
Asian-European Journal of Mathematics, 2008We obtain representations over non-trivial zeros of zeta function for two arithmetic functions ψ1(x) = ∑n≤x (x - n)Λ(n) and [Formula: see text]. This result is similar to classical representations of such kind for the Chebyshev functionψ(x) = ∑n≤x Λ(n).
Elena Deza, Lidiya Varukhina
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ON THE ABSENCE OF ZEROS IN INFINITE ARITHMETIC PROGRESSION FOR CERTAIN ZETA FUNCTIONS
Bulletin of the Australian Mathematical Society, 2018Putnam [‘On the non-periodicity of the zeros of the Riemann zeta-function’, Amer. J. Math.76 (1954), 97–99] proved that the sequence of consecutive positive zeros of $\unicode[STIX]{x1D701}(\frac{1}{2}+it)$ does not contain any infinite arithmetic progression.
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The Arithmetic of Certain Zeta Functions and Automorphic Forms on Orthogonal Groups
The Annals of Mathematics, 1980Q(z) = ,Q?(&2 of an integral weight > 0; k is a positive integer; * is an embedding of K into C; r is an element of K0 such that Id2 is its only positive conjugate; 4D-b(* + Ap) + ,cpgp, where b and c, are non-negative integers, p is the complex conjugation, and {qp} is the set of all embeddings of K into C other than * and Ap.
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Special Values of Zeta-Functions for Proper Regular Arithmetic Surfaces
2019We explicate Flach's and Morin's special value conjectures in [8] for proper regular arithmetic surfaces π : X → Spec Z and provide explicit formulas for the conjectural vanishing orders and leading Taylor coefficients of the associated arithmetic zeta-functions.
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A systematic review of rehabilitation and exercise recommendations in oncology guidelines
Ca-A Cancer Journal for Clinicians, 2021Kathleen Doyle Lyons+2 more
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Cancer epigenetics in clinical practice
Ca-A Cancer Journal for Clinicians, 2023Veronica Davalos, Manel Esteller
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