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One of the most significant characteristics of the aircraft is its resource. Airplane elements are subject to fatigue damage in operation. For a theoretical assessment of the accumulated fatigue damage, durability and design life, it is necessary to know
Татьяна Сергеевна Бойко
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𝐿-series and modular forms of half-integral weight [PDF]
Let f be a normalized Hecke eigenform of weight 2 k , with k odd. The main result of this paper is an equation representing the value of
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Period functions of half-integral weight modular forms [PDF]
In this paper, we study the Eichler cohomology associated with half-integral weight cusp forms using the Dedekind eta function η ( z )
Choi, Dohoon, Lim, Subong, Raji, Wissam
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BackgroundIn all areas of the World Health Organization, the prevalence of hypertension was highest in Africa. High blood pressure is a significant risk factor for coronary and ischemic diseases, as well as hemorrhagic stroke.
Meseret Molla Asemu +3 more
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A converse theorem in half-integral weight
In this paper, we prove a converse theorem for half-integral weight modular forms assuming functional equations for $L$-series with additive twists. This result is an extension of Booker, Farmer, and Lee's result in [BFL22] to the half-integral weight setting. Similar to their work, the main result of this paper is obtained as a consequence of the half-
Creech, Steven, Twiss, Henry
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Purpose. To investigate the growth characteristics and determine the productivity of paddlefish grown to marketable weight in ponds of the Forest-steppe and Polesia of Ukraine. Methodology.
B. Gankevich, A. Tretyak, E. Kolos
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On Poincaré series of half-integral weight
We use Poincaré series of $ K $-finite matrix coefficients of genuine integrable representations of the metaplectic cover of $ \mathrm{SL}_2(\mathbb R) $ to construct a spanning set for the space of cusp forms $ S_m(Γ,χ) $, where $ Γ$ is a discrete subgroup of finite covolume in the metaplectic cover of $ \mathrm{SL}_2(\mathbb R) $, $ χ$ is a character
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On the theory of newforms of half-integral weight
\textit{W. Kohnen} [J. Reine Angew. Math. 333, 32-72 (1982; Zbl 0475.10025)] established a theory of newforms of half-integral weight, paralleling the Atkin-Lehner theory of newforms of integral weight [\textit{A. O. L. Atkin} and \textit{J. Lehner}, Math. Ann. 185, 134-160 (1970; Zbl 0185.155)].
Manickam, M +2 more
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Newforms of Half-integral Weight: The Minus Space Counterpart [PDF]
AbstractWe study genuine local Hecke algebras of the Iwahori type of the double cover of $\operatorname{SL}_{2}(\mathbb{Q}_{p})$ and translate the generators and relations to classical operators on the space $S_{k+1/2}(\unicode[STIX]{x1D6E4}_{0}(4M))$, $M$ odd and square-free.
Baruch, Ehud Moshe, Purkait, Soma
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Congruences for level 1 cusp forms of half-integral weight [PDF]
Suppose that ℓ ≥
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