Concepedia

Updating the error term in the prime number theorem

Tim Trudgian

The Ramanujan Journal · 2015 · 49 citations · 12 references

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References

12

Approximate formulas for some functions of prime numbers

J. Barkley Rosser, Lowell Schoenfeld · Illinois Journal of Mathematics · 1962 · 1.6K citations · Full text

, , +8

Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)

J. Barkley Rosser, Lowell Schoenfeld · Mathematics of Computation · 1975 · 278 citations

, , +8

Primes in arithmetic progressions

Olivier Ramaré, Robert Rumely · Mathematics of Computation · 1996 · 167 citations · Full text

, , +7

VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION

Proceedings of the London Mathematical Society · 2002 · 156 citations

, , +13

Sharper bounds for the Chebyshev functions 𝜃(𝑥) and 𝜓(𝑥)

J. Barkley Rosser, Lowell Schoenfeld · Mathematics of Computation · 1975 · 132 citations · Full text

, , +5