We compute the local coefficient attached to a pair ( π 1 , 2 stretchy="fal...

By applying the residue method for period integrals, we prove identities between integrals on cuspidal automorphic representations and residual seven spherical varieties. Combining this with Langlands–Shahidi theory residues of Eisenstein series, each case, some relations certain L-functions. In cases, also study local multiplicity

Mahnaz Shahidi, Anthony E. Felder, Ou Tan, Norman P. Blair, and David Huang Department of Ophthalmology, University of Southern California, Los Angeles, California, United States Richard and Loan Hill Department of Bioengineering, University of Illinois at Chicago, Chicago, Illinois, United States Casey Eye Institute, Oregon Health & Science University, Portland, Oregon, United States Departmen...

there are different commentaries on rumi’s masnavi, each focusing on it from different pints of view such as literary aesthetics, mysticism, philosophy and subject matter. these various commentaries – including those by reynold nicholson, jafar shahidi, mohammad estelami and karim zamani – make their comparison and contrast inevitable. despite their great affinity, they are different from each ...

In a previous paper [4], we proved this conjecture in the special case where k = Q and the πi’s correspond to a triple of holomorphic newforms. Our method was based on a combination of the Garrett, Piatetski-Shapiro, Rallis integral representation of the triple product L-function with the extended Siegel–Weil formula and the seesaw identity. The restriction to holomorphic newforms over Q arose ...

We define epsilon factors for irreducible representations of finite general linear groups using Macdonald's correspondence. These satisfy multiplicativity, and are expressible as products Gauss sums. The tensor product related to the Rankin-Selberg gamma factors, by which we prove that can be written exterior square relate Jacquet-Shalika Langlands-Shahidi level zero supercuspidal representatio...

Thai plants have been used as medicines for many centuries because they contain active phytochemicals including phenolic compounds. These components function as antibiotics, help to make cell walls impermeable to gas and water, act as structural materials to give plants stability and provide protection against ultraviolet (UV) light. Hence, plants in the tropical zone including Thailand contain...

Introduction Seafoods are inherently functional and possess many components that are good for human health. Seafoods and their by-products are an excellent source of nutraceuticals and bioactives, and these can be extracted/isolated and added to a range of foods thereby enhancing functionality of the foods in terms of human health (Shahidi, 2003; Alasalvar and Taylor, 2002). These aspects are a...

which converges absolutely in R(s) > 1. One knows by Jacquet, Piatetski-Shapiro and Shalika ([JPSS]), and Shahidi ([Sh1]), that this L-function extends to a meromorphic function on all of C and admits a functional equation L(s, π × π) = W (π × π)(N(π × π)dF ) 1 2 L(1− s, π × π ∨ ). Here π (resp. π ∨ ) denotes the contragredient of π (resp. π), dF the discriminant of F , and N(π × π) a positive ...