In recent years, maximizing Gál sums regained interest due to a firm link with large values of L‐functions. In the present paper, we initiate an investigation of small sums of Gál type, with respect to the L1‐norm. We also consider the intertwin...
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https://www.riss.kr/link?id=O111442427
2021년
-
0024-6107
1469-7750
SCI;SCIE;SCOPUS
학술저널
336-352 [※수록면이 p5 이하이면, Review, Columns, Editor's Note, Abstract 등일 경우가 있습니다.]
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In recent years, maximizing Gál sums regained interest due to a firm link with large values of L‐functions. In the present paper, we initiate an investigation of small sums of Gál type, with respect to the L1‐norm. We also consider the intertwin...
In recent years, maximizing Gál sums regained interest due to a firm link with large values of L‐functions. In the present paper, we initiate an investigation of small sums of Gál type, with respect to the L1‐norm. We also consider the intertwined question of minimizing weighted versions of the usual multiplicative energy. We apply our estimates to: (i) a logarithmic refinement of Burgess' bound on character sums, improving previous results of Kerr, Shparlinski and Yau; (ii) an improvement on earlier lower bounds by Louboutin and the second author for the number of nonvanishing theta functions associated to Dirichlet characters; and (iii) new lower bounds for low moments of character sums.
Duality of Drinfeld modules and ℘‐adic properties of Drinfeld modular forms
The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials