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- W2964021237 abstract "A conjecture connected with quantum physics led N. Katz to discover some amazing mixed character sum identities over a field of q elements, where q is a power of a prime $$p >3$$ . His proof required deep algebro-geometric techniques, and he expressed interest in finding a more straightforward direct proof. The first author recently gave such a proof of his identities when $$q equiv 1 pmod 4$$ , and this paper provides such a proof for the remaining case $$q equiv 3 pmod 4$$ . Our proofs are valid for all characteristics $$p>2$$ . Along the way we prove some elegant new character sum identities." @default.
- W2964021237 created "2019-07-30" @default.
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- W2964021237 date "2017-04-03" @default.
- W2964021237 modified "2023-10-16" @default.
- W2964021237 title "Some mixed character sum identities of Katz II" @default.
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- W2964021237 doi "https://doi.org/10.1007/s40993-016-0071-5" @default.
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