On solutions of polynomial congruences
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
A generalisation of an identity of Lehmer
We prove an identity involving generalised Euler-Briggs constants, Euler's constant, and linear forms in logarithms of algebraic numbers. This generalises and gives an alternative proof of an identity of Lehmer (1975). Further, this identity facilitates the investigation of the (conjectural) transcendental nature of generalised Euler-Briggs constants. Earlier investigations of similar type by the present authors involved the interplay between additive and multiplicative characters. This in turn...
Relations among Fourier coefficients of certain eta products.
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