Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average

DOI10.1307/mmj/1213972400zbMath1225.11101arXivmath/0608596OpenAlexW2013354013WikidataQ123240431 ScholiaQ123240431MaRDI QIDQ2519155

Igor E. Shparlinski

Publication date: 22 January 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608596

zbMATH Keywords

Kloosterman sumsSato-Tate conjecturemodular inverses

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Congruences; primitive roots; residue systems (11A07) Elementary number theory (11A99)

Related Items (14)

Non-commutative methods in additive combinatorics and number theory ⋮ An almost all result on \(q_1 q_2 \equiv c\pmod q\) ⋮ Modular hyperbolas ⋮ Distribution of Farey fractions in residue classes and Lang–Trotter conjectures on average ⋮ CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS ⋮ Modular hyperbolas and bilinear forms of Kloosterman sums ⋮ On the restricted divisor function in arithmetic progressions ⋮ Distribution of matrices with restricted entries over finite fields ⋮ The equation \(x_1x_2=x_3x_4+\lambda \) in fields of prime order and applications ⋮ Visible points on multidimensional modular hyperbolas ⋮ On small solutions to quadratic congruences ⋮ Geometric properties of points on modular hyperbolas ⋮ Cancellations amongst Kloosterman sums ⋮ Unnamed Item

Cites Work

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