BUG: Fixes Rounding of an empty Series

[sanchit122006]

Fixed Rounding of an empty Series

PR summary

This pull request fixes a bug where calling round() on an empty Series raises a TypeError instead of returning an empty Series. The change makes Series.round() behave consistently with other numeric operations that already handle empty Series/DataFrames gracefully.

What does this change?

• Updates Series.round() so that it does not raise on an empty Series with object dtype.
• Ensures pd.Series().round(4) returns an empty Series instead of failing.
• Adds a regression test to cover this edge case and prevent future breakage.

Why is this change needed?

In the current behavior, code that works for non‑empty Series can unexpectedly fail when it encounters an empty Series and calls round(). This is surprising because other operations like min, cumsum, and shift already handle the empty case without errors. Aligning round() with these operations removes this inconsistency and avoids hard‑to‑debug edge cases in real pipelines.

How was this tested?

• Added a new test that checks pd.Series().round(4) and verifies it does not raise and returns an empty Series.
• Ran the relevant Series tests locally to confirm the change passes and does not affect non‑empty numeric Series.
• Verified that the behavior for normal numeric Series is unchanged.

Added section

It verifies that calling round(4) on empty Series of object, float, and int dtypes returns an identical empty Series without raising any error

REPL Tests

1. Verification of the

Fix (object dtype)

Rounding an empty object dtype Series no longer crashes; it returns an empty Series

2. Verification of Consistency (float64 dtype)

Rounding an empty float64 Series still works and matches the behavior of the fixed object version

3. No Regressions:

Rounding a normal Series with data (like 1.123 to 1.12) still works perfectly.

• closes BUG: Rounding of an empty Series should return empty Series #63444
• Tests added and passed if fixing a bug or adding a new feature
• All code checks passed.
• Added type annotations to new arguments/methods/functions.
• Added an entry in the latest doc/source/whatsnew/vX.X.X.rst file if fixing a bug or adding a new feature.
• If I used AI to develop this pull request, I prompted it to follow AGENTS.md.

[rhshadrach]

Thanks for the PR, but I am negative on the proposed change. See the linked issue for details.