Skip to main content
MathOverflow

Return to Answer

deleted 255 characters in body
Source Link
José Hdz. Stgo.
José Hdz. Stgo.
  • 8.8k
  • 4
  • 68
  • 106

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p \leq x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p \leq x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p \leq x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24.

added 2 characters in body
Source Link
José Hdz. Stgo.
José Hdz. Stgo.
  • 8.8k
  • 4
  • 68
  • 106

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p <= x} p^a$$\sum_{p \leq x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p <= x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p \leq x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

deleted 11 characters in body
Source Link
José Hdz. Stgo.
José Hdz. Stgo.
  • 8.8k
  • 4
  • 68
  • 106

There definitely are earlier references than our book. An asymptotic formula for sum_{p <= x} p^a

$\sum_{p <= x} p^a$

is in T. SalatSalát and S. ZnamZnám, On the sums of prime powersOn the sums of the prime powers, Acta Fac. ResRer. Nat. Univ. Com. Math. 21 (1968), pp. 21-2524.  (Cited by Spearman & Williams  -- II actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"  -- II forget the exact title  -- butbut I was unable to find that sum in there.

Eric.

There definitely are earlier references than our book. An asymptotic formula for sum_{p <= x} p^a

is in T. Salat and S. Znam, On the sums of prime powers, Acta Fac. Res. Nat. Univ. Com. Math. 21 (1968), pp. 21-25.  (Cited by Spearman & Williams  -- I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"  -- I forget the exact title  -- but I was unable to find that sum in there.

Eric

There definitely are earlier references than our book. An asymptotic formula for

$\sum_{p <= x} p^a$

is in T. Salát and S. Znám, On the sums of the prime powers, Acta Fac. Rer. Nat. Univ. Com. Math. 21 (1968), pp. 21-24. (Cited by Spearman & Williams--I actually have not seen this paper.) It probably goes back further than that. The natural place to look would be Landau's "Primzahlen"--I forget the exact title--but I was unable to find that sum in there.

Eric.

Source Link
Eric Bach
Eric Bach
  • 121
  • 2