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Gauss and Jacobi sums
Gauss Sums. Jacobi Sums and Cyclotomic Numbers. Evaluation of Jacobi Sums Over Fp. Determination of Gauss Sums Over Fp. Difference Sets. Jacobsthal Sums Over Fp. Residuacity. Reciprocity Laws.Expand
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Potassium currents and their modulation by muscarine and substance P in neuronal cultures from adult guinea pig celiac ganglia.
1. Intracellular microelectrode and whole-cell patch-clamp recordings were obtained from adult guinea pig celiac ganglion neurons grown in tissue culture for 7-14 days. Over 90% of neurons showedExpand
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Vasoconstriction of guinea‐pig submucosal arterioles following sympathetic nerve stimulation is mediated by the release of ATP
1 The nature of the transmitter mediating vasoconstriction of guinea‐pig submucosal arterioles following sympathetic nerve stimulation was studied. 2 Prazosin (0.1 μm) abolished the response toExpand
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Effects of phospholipase A2 inhibitors on coupling of α2‐adrenoceptors to inwardly rectifying potassium currents in guinea‐pig submucosal neurones
1 Noradrenaline hyperpolarizes guinea‐pig submucosal neurones by opening inwardly rectifying potassium channels. Intracellular recordings were made from submucosal neurones and the possibleExpand
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Theta function identities
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CONGRUENCES FOR SUMS OF POWERS OF KLOOSTERMAN SUMS
The nth power-moments Sn of classical Kloosterman sums (mod p) are known explicitly only for n ≤ 6. In 2002, we conjectured formulas for Sn (mod 4) for each n > 1, valid for all primes p > n. Here weExpand
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Residuacity of Primes
Let q,p be distinct primes with p — ef + 1. A variant of the Kummer-Dedekind theorem is proved for Gaussian periods, which shows in particular that q is an e-th power (modp) if and only if theExpand
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Relative contributions of ATP and noradrenaline to the nerve evoked contraction of the rabbit jejunal artery
SummaryIsotonic contractions of the rabbit jejunal artery were evoked by perivascular nerve stimulation with trains of 10 or 100 stimuli at 2 Hz or 10 Hz. Short trains of stimuli elicitedExpand
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Nonexistence of twentieth power residue difference sets
1. Introduction. Let F p denote the field of p elements, where p is prime. A subset H ⊂ F p is a difference set (mod p) if there is a fixed integer λ > 0 such that every element of F
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Twenty-Fourth Power Residue Difference Sets
It is proved that if p is a prime 1 (mod 24) such that either 2 is a cubic residue or 3 is a quartic residue (mod p), then the twenty-fourth powers (mod p) do not form a difference set or a modifiedExpand
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