Steuding introduction theory l-functions
網頁2024年5月17日 · The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary … 網頁2003年1月1日 · In the last few years, the value distribution and uniqueness of L-functions have been studied extensively. Steuding [10] showed that an L-function is uniquely defined by its preimage of a single ...
Steuding introduction theory l-functions
Did you know?
網頁2024年3月27日 · Negative values of the Riemann zeta function on the critical line, Mathematika 59 (2013), 443-462 (mit J. Kalpokas, M.A. Korolev) Extreme values of L-functions from the Selberg class, International Journal of Number Theory 9 … 網頁With the subsequent advent of the Tauberian theory as developed by Wiener and Ikehara, these arithmetical the orems have been shown to be equivalent to the non-vanishing of these L-functions on the line Re(s) = 1. In the 1950's, ...
網頁Dirichlet Series and Polynomial Euler Products.- Interlude: Results from Probability Theory.- Limit Theorems.- Universality.- The Selberg Class.- Value-Distribution in the Complex Plane.- The Riemann Hypothesis.- Effective Results.- Consequences of Universality.- Dirichlet Series with Periodic Coefficients.- Joint Universality.- L-Functions of Number … 網頁2013年6月16日 · We prove estimates for extreme values of L-functions from the Selberg class under assumption of the corresponding analogue of the ... {Łukasz Pańkowski and J{\"o}rn Steuding}, journal={International Journal of Number Theory}, year={2013}, volume={09 , ...
網頁2024年7月1日 · 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 from universality theory. Skip to search form Skip to main content Skip to account menu Semantic Scholar's ... 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We prove the universality theorem for the iterated integrals of logarithms of $L$-functions in the Selberg class on some line parallel to the real axis.
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 … free clip art sunrise image網頁Access full book title Elementary Theory of L-functions and Eisenstein Series by Haruzo Hida. Download full books in PDF and EPUB format. By : Haruzo Hida 1993-02-11 Mathematics Elementary Theory of L-functions and … blone body wigs網頁Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain … free clip art surprise