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Bounds for theta sums in higher rank. I

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Bibliographic Details
Main Authors: Jens, Marklof, Matthew, Welsh
Format: Book
Language:en_US
Published: Springer 2023
Subjects:
oscillatory phase
one-variable theta sums
Online Access:https://link.springer.com/article/10.1007/s11854-023-0275-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7582
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spelling oai:localhost:PNK-75822023-04-05T07:54:32Z Bounds for theta sums in higher rank. I Jens, Marklof Matthew, Welsh oscillatory phase one-variable theta sums CC BY Theta sums are finite exponential sums with a quadratic form in the oscillatory phase. This paper establishes new upper bounds for theta sums in the case of smooth and box truncations. This generalises a classic 1977 result of Fiedler, Jurkat and Körner for one-variable theta sums and, in the multi-variable case, improves previous estimates obtained by Cosentino and Flaminio in 2015. Key steps in our approach are the automorphic representation of theta functions and their growth in the cusps of the underlying homogeneous space. 2023-04-05T07:54:32Z 2023-04-05T07:54:32Z 2023 Book https://link.springer.com/article/10.1007/s11854-023-0275-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7582 en_US application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language en_US
topic oscillatory phase
one-variable theta sums
spellingShingle oscillatory phase
one-variable theta sums
Jens, Marklof
Matthew, Welsh
Bounds for theta sums in higher rank. I
description CC BY
format Book
author Jens, Marklof
Matthew, Welsh
author_facet Jens, Marklof
Matthew, Welsh
author_sort Jens, Marklof
title Bounds for theta sums in higher rank. I
title_short Bounds for theta sums in higher rank. I
title_full Bounds for theta sums in higher rank. I
title_fullStr Bounds for theta sums in higher rank. I
title_full_unstemmed Bounds for theta sums in higher rank. I
title_sort bounds for theta sums in higher rank. i
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11854-023-0275-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7582
_version_ 1762365504160268288
score 8.891787

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