scholarly journals A large sieve inequality of Elliott–Montgomery–Vaughan type for Maass forms on GL($n,\mathbb R$) with applications

2020 ◽  
Author(s):  
Yuk-Kam Lau ◽  
Ming Ho Ng ◽  
Emmanuel Royer ◽  
Yingnan Wang
Keyword(s):  
Large Sieve ◽  
Maass Forms ◽  
Large Sieve Inequality

scholarly journals LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI

2005 ◽  
Vol 01 (02) ◽  
pp. 265-279 ◽  
Author(s):  
STEPHAN BAIER ◽  
LIANGYI ZHAO
Keyword(s):  
General Formula ◽  
Large Sieve ◽  
Large Sieve Inequality

In this paper we aim to generalize the results in [1, 2, 19] and develop a general formula for large sieve with characters to powerful moduli that will be an improvement to the result in [19].

scholarly journals A NEW BOUND FOR THE LARGE SIEVE INEQUALITY WITH POWER MODULI

2012 ◽  
Vol 08 (03) ◽  
pp. 689-695 ◽  
Author(s):  
KARIN HALUPCZOK
Keyword(s):  
Mean Value ◽  
Mean Value Theorem ◽  
Large Sieve ◽  
Large Sieve Inequality

We give a new bound for the large sieve inequality with power moduli qk that is uniform in k. The proof uses a new theorem due to Wooley from his work [Vinogradov's mean value theorem via efficient congruencing, to appear in Ann. of Math.] on efficient congruencing.

The large sieve with power moduli for ℤ[i]

2018 ◽  
Vol 14 (10) ◽  
pp. 2737-2756
Author(s):  
Stephan Baier ◽  
Arpit Bansal
Keyword(s):  
Classical Case ◽  
Large Sieve ◽  
Counting Problem ◽  
Large Sieve Inequality ◽  
Poisson Summation

We establish a large sieve inequality for power moduli in [Formula: see text], extending earlier work by Zhao and the first-named author on the large sieve for power moduli for the classical case of moduli in [Formula: see text]. Our method starts with a version of the large sieve for [Formula: see text]. We convert the resulting counting problem back into one for [Formula: see text] which we then attack using Weyl differencing and Poisson summation.

scholarly journals Global decomposition of GL(3) Kloosterman sums and the spectral large sieve

2019 ◽  
Vol 2019 (757) ◽  
pp. 51-88 ◽  
Author(s):  
Valentin Blomer ◽  
Jack Buttcane
Keyword(s):  
Kloosterman Sums ◽  
Bilinear Forms ◽  
Large Sieve ◽  
Large Sieve Inequality

AbstractWe prove best-possible bounds for bilinear forms in Kloosterman sums for \operatorname{GL}(3) associated with the long Weyl element. As an application we derive a best-possible spectral large sieve inequality on \operatorname{GL}(3).

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