Bounds for theta sums in higher rank. I
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| Định dạng: | Sách |
| Ngôn ngữ: | en_US |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11854-023-0275-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7582 |
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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 |