Most Recent Articles: Research in the Mathematical Scienceshttps://resmathsci.springeropen.comMost Recent Articles: Research in the Mathematical SciencesBest rank-k approximations for tensors: generalizing Eckartâ€“Younghttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0145-1Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we call the critical rank-at-most-k tensors fo...ResearchWed, 23 May 2018 00:00:00 GMThttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0145-1Jan Draisma, Giorgio Ottaviani and Alicia Tocino2018-05-23T00:00:00ZPeriod polynomials, derivatives of L-functions, and zeros of polynomialshttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0126-4Period polynomials have long been fruitful tools for the study of values of L-functions in the context of major outstanding conjectures. In this paper, we survey some facets of this study from the perspective of ...ResearchTue, 06 Feb 2018 00:00:00 GMThttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0126-4Nikolaos Diamantis and Larry Rolen2018-02-06T00:00:00ZA class of non-holomorphic modular forms Ihttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0130-8This introductory paper studies a class of real analytic functions on the upper half plane satisfying a certain modular transformation property. They are not eigenfunctions of the Laplacian and are quite disti...ResearchTue, 06 Feb 2018 00:00:00 GMThttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0130-8Francis Brown2018-02-06T00:00:00ZHolomorphic modular forms and cocycleshttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0128-2This is a slightly expanded version of my lecture at the conference Modular forms are everywhere at Bonn, May 2017, taking into account remarks by Don Zagier and Shaul Zemel, and suggestions of the referees.ResearchTue, 30 Jan 2018 00:00:00 GMThttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0128-2Roelof Bruggeman2018-01-30T00:00:00ZModular forms of real weights and generalised Dedekind symbolshttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0120-xResearchMon, 22 Jan 2018 00:00:00 GMThttps://resmathsci.springeropen.com/articles/10.1007/s40687-018-0120-xYuri I. Manin2018-01-22T00:00:00Z