Bounds on bilinear sums of kloosterman sums
WebThe bounds obtained for these sums are nontrivial for . As a corollary of such bounds, we obtain some new results concerning the distribution of frac- ... the case of a prime q to estimate the bilinear form 1 ... Kloosterman sums,” Nieuw Arch. Wiskunde Ser. 5 4, 380–384 (2000). Web-the hyper-Kloosterman sums are constructed by iterated multiplicative convolution (see Katz’s book [Kat88] for the algebro-geometric version of this construction), which explains why they occur after applying the Voronoi summation formula on GL k. Our main results provide new bounds for general bilinear forms in hyper-Kloosterman sums that
Bounds on bilinear sums of kloosterman sums
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WebBILINEAR FORMS WITH KLOOSTERMAN SUMS 415 of this construction), which explains why they occur after applying the Voronoi summation formula on GL k. Our main results provide new bounds for general bilinear forms in hyper-Kloosterman sums that go beyond the Fourier-theoretic range; seeTheorems 1.1and1.3below. WebThe bounds obtained for these sums are nontrivial for . As a corollary of such bounds, we obtain some new results concerning the distribution of frac- ... the case of a prime q to …
http://arxiv-export3.library.cornell.edu/abs/2204.05038 WebWe obtain the exponent of distribution $1/2+1/30$ for the ternary divisor function $d_3$ to square-free and prime power moduli, improving the previous results of ...
WebJan 1, 2024 · We use some elementary arguments to obtain a new bound on bilinear sums with weighted Kloosterman sums which complements those recently obtained by E. Kowalski, P. Michel and W. Sawin (2024). ... Bounds on bilinear sums of Kloosterman sums. Author links open overlay panel Nilanjan Bag a, Igor E. Shparlinski b. Show more. … WebSums of Kloosterman Sums D. Goldfeld i and P. Sarnak 2 1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA 2 Courant Institute of Mathematical Sciences, New York, NY 10012, USA 1. Introduction The classical Kloosterman sum is defined by a=t (a, c) = t ad = - 1 (modc)
WebFeb 20, 2024 · Our method builds on an approach due to Blomer (Q J Math 139:707–768, 2008) based on the Voronoi summation formula which we combine with some recent results on bilinear sums of Kloosterman sums ...
WebApr 27, 2024 · We revisit a recent bound of I. Shparlinski and T. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. ... Uniform bounds for sums of Kloosterman sums of half integral weight. 19 October 2024. Alexander Dunn … sz2654 snapper zero turn mower parts diagramWebNov 17, 2014 · On moments of twisted. -functions. We study the average of the product of the central values of two -functions of modular forms and twisted by Dirichlet characters to a large prime modulus . As our principal tools, we use spectral theory to develop bounds on averages of shifted convolution sums with differences ranging over multiples of , and ... sz312r rechargeable batteryWebBounds on bilinear sums of Kloosterman sums. Bag, N., Shparlinski, I.E. Journal of Number Theory • 1 January 2024. View PDF View details in Scopus. We use some elementary arguments to obtain a new bound on bilinear sums with weighted Kloosterman sums which complements those recently obtained by E. Kowalski, P. … sz6 bluetooth 有効にできないWebBounds on bilinear sums of Kloosterman sums. J. Number Theory, 242:102–111, 2024. 2 [2] C. Bagshaw and B. Kerr. Lattices in function fields and applications. arXiv, 2024. 19 ... [17] B. Kerr and I. Shparlinski. Bilinear sums of Kloosterman sums, multiplicative con-gruences and average values of the divisor function over families of ... sz950 headphones reviewWebJan 11, 2024 · The proofs of the above estimates are based on an approach of Blomer [3] combined with some recent bounds on bilinear sums of Kloosterman sums due to Kowalski et al. [12] and Shparlinski [17], see ... sz343 chains tire sizeWebNov 14, 2024 · Bounds on bilinear sums of Kloosterman sums Nilanjan Bag, Igor E. Shparlinski We use some elementary arguments to obtain a new bound on bilinear sums … sza album free downloadsz312r mercury free rechargeable battery