EXHIBIT 31.03 RULE 13(a)-14(a)/15(d)-14(a)
CERTIFICATION OF CHIEF FINANCIAL OFFICER

I, Gregg Buckbinder, Chief Financial and Operating Officer of Millburn
Ridgefield Corporation, the General Partner of Nestor Partners (the
"Partnership"), certify that:

I have reviewed this quarterly report on Form 10-Q of Nestor Partners;

Based on my knowledge, this report does not contain any untrue statement of a
material fact or omit to state a material fact necessary to make the statements
made, in light of the circumstances under which such statements were made, not
misleading with respect to the period covered by this report;

Based on my knowledge, the financial statements, and other financial information
included in this report, fairly present in all material respects the financial
condition, results of operations and Partnership capital of the Partnership as
of, and for, the periods presented in this report;

The Partnership's other certifying officers and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined in
Exchange Act Rules 13a-15(e) and 15(d)-15(e)) for the Partnership and have:

(a) designed such disclosure controls and procedures, or caused such disclosure
controls and procedures to be designed under our supervision, to ensure that
material information relating to the Partnership, including its consolidated
subsidiaries, is made known to us by others within those entities, particularly
during the period in which this report is being prepared;

(b) evaluated the effectiveness of the Partnership's disclosure controls and
procedures and presented in this report our conclusions about the effectiveness
of the disclosure controls and procedures, as of the end of the period covered
by this report based on such evaluation; and

(c) disclosed in this report any change in the Partnership's internal control
over financial reporting that occurred during the Partnership's most recent
fiscal quarter (the Partnership's fourth fiscal quarter in the case of an annual
report) that has materially affected, or is reasonably likely to materially
affect, the Partnership's internal control over financial reporting; and

The Partnership's other certifying officers and I have disclosed, based on our
most recent evaluation of internal control over financial reporting, to the
Partnership's auditors and the audit committee of the Partnership's board of
directors (or persons performing the equivalent functions):

(a) all significant deficiencies and material weaknesses in the design or
operation of internal controls over financial reporting which are reasonably
likely to adversely affect the Partnership's ability to record, process,
summarize and report financial information; and

  (b) any fraud, whether or not material, that involves management or other
employees who have a significant role in the Partnership's internal control over
financial reporting.

By:  /s/ Gregg Buckbinder
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Gregg Buckbinder
Chief Financial and Operating Officer
August 15, 2005