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Record Nr. |
UNINA9910973623103321 |
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Autore |
Fokas Athanassios S |
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Titolo |
On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2022 |
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©2022 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (128 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.275 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Functions, 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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2022, volume 275, number 1351 (fifth of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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