The large sieve with square moduli in function fields

JOURNAL OF NUMBER THEORY

卷:235

Article

Baier, Stephan¹  Singh, Rajneesh Kumar¹ 

[1] Ramakrishna Mission Vivekananda Educ Res Inst, GT Rd,PO Belwr Math, Howrah 711202, W Bengal, India

关键词: Large sieve;    Square moduli;    Function fields;    Character sums;    Exponential integrals;    Farey fractions;   

DOI  :  10.1016/j.jnt.2021.07.005

来源: Elsevier

【 摘 要 】

We prove a lower and an upper bound for the large sieve with square moduli in function fields. These bounds correspond to bounds for the classical large sieve with square moduli established in [2] and [5]. Our lower bound in the function field setting contradicts an upper bound obtained in [3]. Indeed, in [1] we pointed out an error in [3]. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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