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A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function

100%

Lettington M.

Acta Arithmetica

2013

tom 158

nr 1

1-31

We study the interplay between recurrences for zeta related functions at integer values, 'Minor Corner Lattice' Toeplitz determinants and integer composition based sums. Our investigations touch on functional identities due to Ramanujan and Grosswald, the transcendence of the zeta function at odd integer values, the Li Criterion for the Riemann Hypothesis and pseudo-characteristic polynomials for zeta related functions. We begin with a recent result for ζ(2s) and some seemingly new Bernoulli relations, which we use to obtain a generalised Ramanujan polynomial and properties thereof.

Integer points close to convex hypersurfaces

88%

Lettington M.

Acta Arithmetica

2010

tom 141

nr 1

73-101

Integer points close to convex surfaces

88%

Lettington M.

Acta Arithmetica

2009

tom 138

nr 1

1-23

Ograniczanie wyników

3 Acta Arithmetica

3 Lettington M.

1 2013

1 2010

1 2009

Wyniki wyszukiwania

A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function

Integer points close to convex hypersurfaces

Integer points close to convex surfaces