Estimates of trigonometric sums from solutions of quadratic congruences
https://doi.org/10.22405/2226-8383-2025-26-1-88-98
Abstract
In 1963, relying on estimates of special trigonometric sums, Hawley first proved an asymptotic formula for the average number of divisors of a quadratic polynomial with a powerlaw reduction in the remainder term compared to the principal term. Later, these estimates were improved.
The paper proves new stronger results in this area of research in analytical number theory.
About the Author
Irina Yurevna Rebrova
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
References
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Review
For citations:
Rebrova I.Yu. Estimates of trigonometric sums from solutions of quadratic congruences. Chebyshevskii Sbornik. 2025;26(1):88-98. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-1-88-98
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