init

2026-02-12 23:22:11 +08:00
parent 7b09eb3d89
commit 89660bba4e
5988 changed files with 2517516 additions and 0 deletions
@@ -0,0 +1,27 @@
+"""Compute the Taylor series for zeta(x) - 1 around x = 0."""
+try:
+    import mpmath
+except ImportError:
+    pass
+
+
+def zetac_series(N):
+    coeffs = []
+    with mpmath.workdps(100):
+        coeffs.append(-1.5)
+        for n in range(1, N):
+            coeff = mpmath.diff(mpmath.zeta, 0, n)/mpmath.factorial(n)
+            coeffs.append(coeff)
+    return coeffs
+
+
+def main():
+    print(__doc__)
+    coeffs = zetac_series(10)
+    coeffs = [mpmath.nstr(x, 20, min_fixed=0, max_fixed=0)
+              for x in coeffs]
+    print("\n".join(coeffs[::-1]))
+
+
+if __name__ == '__main__':
+    main()