The Functional Equations of Langlands Eisenstein Series for $SL(n,\mathbb Z)
Sci China Math, 2023, 66 This paper presents a very simple explicit description of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$. The functional equations of these Eisenstein series are heuristically derived from the functional equations of certain divisor sums and certain Whittaker functi...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
09.10.2023
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Subjects | |
Online Access | Get full text |
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Summary: | Sci China Math, 2023, 66 This paper presents a very simple explicit description of Langlands
Eisenstein series for ${\rm SL}(n,\mathbb Z)$. The functional equations of
these Eisenstein series are heuristically derived from the functional equations
of certain divisor sums and certain Whittaker functions that appear in the
Fourier coefficients of the Eisenstein series. We conjecture that the
functional equations are unique up to a real affine transformation of the $s$
variables defining the Eisenstein series and prove the uniqueness conjecture in
certain cases. |
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DOI: | 10.48550/arxiv.2310.06284 |