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Publications Influence

Gauss and Jacobi sums

- B. Berndt, K. Williams, R. J. Evans
- Mathematics
- 1998

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

682 46- PDF

Potassium currents and their modulation by muscarine and substance P in neuronal cultures from adult guinea pig celiac ganglia.

- S. Vanner, R. J. Evans, S. G. Matsumoto, A. Surprenant
- Chemistry, Medicine
- Journal of neurophysiology
- 1 May 1993

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 showed… Expand

48 4

Vasoconstriction of guinea‐pig submucosal arterioles following sympathetic nerve stimulation is mediated by the release of ATP

- R. J. Evans, A. Surprenant
- Biology, Medicine
- British journal of pharmacology
- 1 June 1992

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 to… Expand

175 2- PDF

Effects of phospholipase A2 inhibitors on coupling of α2‐adrenoceptors to inwardly rectifying potassium currents in guinea‐pig submucosal neurones

- R. J. Evans, A. Surprenant
- Biology, Medicine
- British journal of pharmacology
- 1 October 1993

1 Noradrenaline hyperpolarizes guinea‐pig submucosal neurones by opening inwardly rectifying potassium channels. Intracellular recordings were made from submucosal neurones and the possible… Expand

17 2

CONGRUENCES FOR SUMS OF POWERS OF KLOOSTERMAN SUMS

- H. Choi, R. J. Evans
- Mathematics
- 1 March 2007

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 we… Expand

13 2- PDF

Residuacity of Primes

- R. J. Evans
- Mathematics
- 1 December 1989

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 the… Expand

11 2- PDF

Relative contributions of ATP and noradrenaline to the nerve evoked contraction of the rabbit jejunal artery

- R. J. Evans, T. Cunnane
- Biology, Chemistry
- Naunyn-Schmiedeberg's Archives of Pharmacology
- 1 April 1992

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 elicited… Expand

15 1

Nonexistence of twentieth power residue difference sets

- R. J. Evans
- Mathematics
- 1999

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

8 1- PDF

Twenty-Fourth Power Residue Difference Sets

- R. J. Evans
- Mathematics
- 1983

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 modified… Expand

3 1- PDF