網頁2024年7月3日 · Abstract. In this note, we present results for distinguishing L -functions by their multisets of zeros and unique factorizations in an axiomatic setting; our tools stem … 網頁We prove universality for L-functions $ \\mathcal{L} $ from the Selberg class satisfying some mild condition on the Dirichlet coefficients (which might be considered as a prime number theorem for $ \\mathcal{L} $). This generalizes a previous universality theorem by the second author, where the L-function was assumed to have a polynomial Euler …
Uniqueness theorems for L-functions Request PDF - ResearchGate
網頁2016年5月19日 · We obtain a discrete universality theorem on the approximation of analytic functions by shifts of L-functions of normalized Hecke-eigen cusp forms with respect to congruence subgroups. Such a result is already proved in the authors’ previous paper [A. Lauriňcikas, K. Matsumoto, and J. Steuding, Discrete universality of L-functions for new … 網頁important part of the functional equations of nonabelian L-functions. Dirichlet introduced his L-series to study the prime numbers in an arithmetic progression. Suppose that ˜is … イヤホン 福袋 2022
Class Field Theory and L Functions: Foundations and Main Results …
網頁2011年1月1日 · In 2011, Garunkstis-Grahl-Steuding [5] showed that, when the shared values are taken from C ∪ {∞}, the condition"finitely many poles" can be dropped for the case of following 2 CM and 1 IM ... 網頁J¨orn Steuding geboren am 10. M¨arz 1969 in Bad Orb 1999 Referent: Prof. Dr. G.J. Rieger Korreferent: Dr. habil. J. Sander ... citation; most of them can be found in [4]. Chapter 1 gives a brief introduction to the theory of the Riemann zeta-function; for more 1 2. ... 網頁2024年10月24日 · The theory of L-functions has become a very substantial, and still largely conjectural, part of contemporary analytic number theory. In it, broad generalisations of the Riemann zeta function and the L -series for a Dirichlet character are constructed, and their general properties, in most cases still out of reach of proof, are set out in a … o zone vocal editing