03373nam 22006493 450 991097362310332120231110232636.097814704701731470470179(MiAaPQ)EBC6852908(Au-PeEL)EBL6852908(CKB)20667665300041(RPAM)22495396(OCoLC)1292081983(BIP)82905373(EXLCZ)992066766530004120220117d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierOn the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function1st ed.Providence :American Mathematical Society,2022.©2022.1 online resource (128 pages)Memoirs of the American Mathematical Society ;v.275"January 2022, volume 275, number 1351 (fifth of 6 numbers)."Print version: Fokas, Athanassios S. On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function Providence : American Mathematical Society,c2022 9781470450984 Includes bibliographical references.An exact representation for [Zeta](s) -- The asymptotics of the Riemann zeta function for t [less than or equal to] [eta] < [infinity] -- The asymptotics of the Riemann zeta function for 0 <[eta]<t -- Consequences of the asymptotic formulae -- An exact representation for [Phi](u, v, [beta]) -- The asymptotics of [Phi](u, v, [beta]) -- More explicit asymptotics of [Phi](u, v, [beta]) -- Fourier coefficients of the product of two Hurwitz zeta functions -- Several Representations for the basic sum.View the abstract.Memoirs of the American Mathematical Society Functions, ZetaRiemann hypothesisAsymptotic expansionsNumber theory -- Zeta and $L$-functions: analytic theory -- $\zeta (s)$ and $L(s, \chi)$mscFunctions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Asymptotic representations in the complex domainmscSpecial functions -- Other special functions -- Other functions defined by series and integralsmscFunctions, Zeta.Riemann hypothesis.Asymptotic expansions.Number theory -- Zeta and $L$-functions: analytic theory -- $\zeta (s)$ and $L(s, \chi)$.Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Asymptotic representations in the complex domain.Special functions -- Other special functions -- Other functions defined by series and integrals.515/.5611M0630E1533E20mscFokas Athanassios S66485Lenells Jonatan1800370MiAaPQMiAaPQMiAaPQBOOK9910973623103321On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function4345124UNINA