Desirability, Challenges, and Methods of Protecting Farmland

Land Economics/Use, Q24, Q28, R14,

Consequences of EU Biofuel Policies on Agricultural Production and Land Use

Resource /Energy Economics and Policy, D58, Q13, Q24, Q27, Q28,

Land Use Changes: Economic, Social, and Environmental Impacts

Land Economics/Use, Q24, Q28,

Capacity Analysis and Fisheries Management: Is the Tail Wagging the Dog?

Fisheries management, capacity analysis, fisheries policy., Resource /Energy Economics and Policy, Q22, Q28,

Economic Evaluation of Catch Share Program: Rhode Island Fluke Fishery Sector Pilot Program

Catch share, sector allocation, fishery management, Demand and Price Analysis, Resource /Energy Economics and Policy, Q22, Q28,

The Certainty of Confronting Uncertainty in the Chesapeake Bay Restoration Effort

Environmental Restoration, TMDL, Chesapeake Bay, Adaptive Management, Uncertainty, Environmental Economics and Policy, Resource /Energy Economics and Policy, Q00, Q01, Q20, Q28,

Environmental Services Programs for the Chesapeake Bay

Ecosystem Services, Payment for Ecosystem Services, Water Quality, Chesapeake Bay, Environmental Economics and Policy, Resource /Energy Economics and Policy, Q25, Q28, Q53, Q57,

Capacity Analysis and Fisheries Policy: Theory versus Practice

Capacity analysis, capacity policy, data envelopment analysis, bioeconomic models, Resource /Energy Economics and Policy, Q22, Q28, D24,

Food or Fuel? Choices and Conflicts

Ethanol, Corn Prices, Biofuels Policy, Tax Credits, RFS, Food versus Fuel, Food Security and Poverty, Resource /Energy Economics and Policy, Q28, Q11,

New Identities for 7-cores with prescribed BG-rank

A q-series with nonnegative power series coefficients is called positive. The partition statistics BG-rank is defined as an alternating sum of parities of parts of a partition. It is known that the generating function for the number of partitions of n that are 7-cores with given BG-rank can be written as certain sum of multi-theta functions. We give explicit representations for these generating functions in terms of sums of positive eta-quotients and derive inequalities for the their coefficients. New identities for the generating function of unrestricted 7-cores and inequalities for their coefficients are also obtained. Our proofs utilize Ramanujan's theory of modular equations.Comment: 12 page