The dispersion obstacle, sieve barriers at the level 1/2, and short-interval mean squares. The remainder as a trilinear form in Kloosterman sums with a fixed argument, the Atkin–Lehner projection of the symmetric remainder, optimality of Richert's weight (the gap to (7,4) is structural), level Δ−ε in intervals (X, X+X^Δ], spectral decomposition.
python linear-programming number-theory modular-forms analytic-number-theory theta-series sieve-methods short-intervals sums-of-two-squares almost-primes kloosterman-sums level-of-distribution atkin-lehner dispersion-method richert-weights
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Updated
Nov 1, 2026 - TeX