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Arithmetic exponent pairs for algebraic ...

Wu, Jie...

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Arithmetic exponent pairs for algebraic trace functions and applications by Wu, Jie ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	We study short sums of algebraic trace functions via the $q$-analogue of van der Corput method, and develop methods of arithmetic exponent pairs that coincide with the classical case while the moduli has sufficiently good factorizations. As an application, we prove a quadratic analogue of Brun-Titchmarsh theorem on average, bounding the number of primes $p\leqslant X$ with $p^2+1\equiv0\pmod q$. The other two applications include a larger level of distribution of divisor functions in arithmetic progressions and a sub-Weyl subconvex bound of Dirichlet $L$-functions studied previously by Irving.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1603.07060

Citation

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AMA 11th EditionReferences

Wu, Jie. Arithmetic exponent pairs for algebraic trace functions and applications. Australian National University. August 08, 2023. Accessed October 16, 2024. https://online.provdatabase.com/cite/12928

APA 7th EditionReferences

Wu, Jie. (2023). Arithmetic exponent pairs for algebraic trace functions and applications. Australian National University. https://online.provdatabase.com/cite/12928

Chicago 17th EditionReferences

Wu, Jie. Arithmetic exponent pairs for algebraic trace functions and applications. Australian National University. 2023. https://online.provdatabase.com/cite/12928

HarvardReferences

Wu, Jie. (2023). Arithmetic exponent pairs for algebraic trace functions and applications. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/12928. (Accessed 16 October 2024).

Harvard AustraliaReferences

Wu, Jie, 2023, Arithmetic exponent pairs for algebraic trace functions and applications, Australian National University, viewed 16 October 2024, <https://online.provdatabase.com/cite/12928>

MLA 9th EditionWorks Cited

Wu, Jie. Arithmetic exponent pairs for algebraic trace functions and applications. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/12928.

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