## Pacific Journal of Mathematics, Volume 1 |

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### Contents

Apóstol On the Lerch zeta functions 161 | 5 |

B H Arnold Distributive lattices with a third operation defined | 33 |

Richard Bellman and Theodore Harris Recurrence times for the Ehrenfest model 179 | 43 |

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Abelian group admissible topology algebra Amer arbitrary assume asymptotic barycentric bounded calculus of variations characteristic root coefficients compact completes the proof condition Consequently consider continuous convergence convex Corollary corresponding defined denote differential equation dimension Eilenberg elements equivalent exists finite formula given Green's function Hence holds homology homomorphisms homotopy groups identity implies inequality interval isometry isomorphism kernel function Legendre form Lemma linear subclass linearly independent mapping Math matrix metric space nonnegative norm obtain open set orthogonal complement p-cell partial differential equation polynomial polytope positive integer problem proof of Theorem proper topology prove Q-orthogonal quadratic form quasi-nonsingular quaternions real numbers relation satisfies sequence simplex singular homology sinh solution subset summability Suppose theory topological space topology transformation vanish zero