4,359 research outputs found

    Goss, W. M.

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    Convolutions Goss L-Series and Tensor Products of Drinfeld Modules

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    We present special value results of convolutions of Goss and Pellarin L-series attached to Drinfeld modules that take values in Tate algebras by Papanikolas and the author. Following the same framework, we establish special value results of convolutions of two Goss L-series attached to Drinfeld modules that take values in Fq(( 1/�� )). Applying the class module formula of Fang to tensor products of two Drinfeld modules, we provide special value formulas for their L-functions. By way of the theory of Schur polynomials these identities take the form of specializations of convolutions of Rankin-Selberg type. Finally, we show an explicit computation on regulators of tensor product as well as symmetric and alternating squares of Drinfeld modules, which appear in the Fang���s class module formula

    William F.M. Goss, head and shoulders portrait

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    William F. M. Goss, Dean of Engineering (1st Dean of Engr.) 1900-1907 (3 copies)

    Dummer Academy, Newbury, Mass., founded in 1763 by Lieut. Governor, William Dummer

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    Photographer's address: Newburyport, Mass.Copyright deposit; F. M. Goss; June 16, 1911

    Index of maximality and goss zeta function

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    In this article, we define the index of maximality m(y) of a positive integer y, associated with the vanishing of certain power sums over Fq[T], related to the set Vm(y) of "valid" decompositions of y=X1+...+Xm of length m. The index of maximality determines the maximum positive integer m for which the sets Vm(y) are not empty. An algorithm is provided to find Vi(y),1<=i<=m(y) explicitly. The invariance, under some action, of the index of maximality m(y) and of the property of divisibility by q-1 of ℓq(y), the sum of the q-adic digits of y, implies the invariance of the degree of Goss zeta function; it is illustrated here for two cases. Finally, we generalize, to all q, the properties of an equivalence relation on Zp, which depends on the Newton polygon of the Goss zeta function

    Supplementary data for "Chamber studies of OH + dimethyl sulfoxide and dimethyl disulfide: insights into the dimethyl sulfide oxidation mechanism."

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    This page contains public data for the peer-reviewed publication: Matthew B. Goss and Jesse H. Kroll: "Chamber studies of OH + dimethyl sulfoxide and dimethyl disulfide: insights into the dimethyl sulfide oxidation mechanism." ACP, XX, XXXX–XXXX, 202X. Submitted. These data files are intended as additional supplementary information for this publication. If you would like to use any data herein in a publication, please contact the corresponding author (Matthew Goss, [email protected]) first. Data files contain product concentration timeseries. Time is reported in seconds after UV lights were turned on. All data, except for ozone and NOx timeseries, have been corrected for chamber dilution. Product concentrations are reported in parts per billion. If you have any more questions, please contact the corresponding author, Matthew Goss at [email protected]
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