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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,529 - 1,547 (19page)
- DOI
- 10.4134/JKMS.j210243
이용수
초록· 키워드
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In this series, we investigate the calculation of mean values of derivatives of Dirichlet $L$-functions in function fields using the analogue of the approximate functional equation and the Riemann Hypothesis for curves over finite fields. The present paper generalizes the results obtained in the first paper. For $\mu\geq1$ an integer, we compute the mean value of the $\mu$-th derivative of quadratic Dirichlet $L$-functions over the rational function field. We obtain the full polynomial in the asymptotic formulae for these mean values where we can see the arithmetic dependence of the lower order terms that appears in the asymptotic expansion.
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참고문헌 (19)
참고문헌 신청
Julio Andrade / 2015 / A simple proof of the mean value of |K2(O)| in function fields / Comptes Rendus Mathematique 353(8):677~682
Julio Andrade / 2016 / Rudnick and Soundararajan's theorem for function fields / Finite Fields and Their Applications 37:311~327
Julio Andrade / 2018 / Mean values of derivatives of L-functions in function fields: II / Journal of Number Theory 183:24~39
Julio Andrade / 2019 / Mean values of derivatives of L-functions in function fields: III / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149(04):905~913
J.C. Andrade / 2012 / The mean value of L( 12 ; χ) in the hyperelliptic en-semble / Journal of Number Theory 132(12):2793~2816
Julio Andrade / 2016 / Rudnick and Soundararajan's theorem for function fields / Finite Fields and Their Applications 37:311~327
Julio Andrade / 2018 / Mean values of derivatives of L-functions in function fields: II / Journal of Number Theory 183:24~39
Julio Andrade / 2019 / Mean values of derivatives of L-functions in function fields: III / Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149(04):905~913
J.C. Andrade / 2012 / The mean value of L( 12 ; χ) in the hyperelliptic en-semble / Journal of Number Theory 132(12):2793~2816
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