A5017522321- Advanced Algebra and Geometry
- Algebraic Geometry and Number Theory
- Finite Group Theory Research
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Planetary Science and Exploration
- Earthquake Detection and Analysis
- Astro and Planetary Science
- History and Theory of Mathematics
- Solar and Space Plasma Dynamics
- Inertial Sensor and Navigation
- Ionosphere and magnetosphere dynamics
- Geomagnetism and Paleomagnetism Studies
- Advanced Mathematical Identities
- Molecular spectroscopy and chirality
- Advanced NMR Techniques and Applications
- Innovation Diffusion and Forecasting
- Bayesian Methods and Mixture Models
- Advanced Statistical Methods and Models
- Geophysics and Gravity Measurements
- advanced mathematical theories
Juraj Dobrila University of Pula
2019-2024
University of Rijeka
2009-2018
University of Zagreb
2002
Electrophonic meteor sounds, heard simultaneously with the appearance, are a longstanding problem due to their nonintuitive nature. Previous investigations have been undermined by lack of instrumental recordings. Here we present first detection electrophonic sounds obtained during observation 1998 Leonids from Mongolia. Two Leonid fireballs brightness −6.5 m and −12 produced short, low‐frequency which were recorded microphones in special setup different observers. Simultaneous measurements...
The analytic properties of the complete Asai L-functions attached to cuspidal automorphic representations general linear group over a quadratic extension number field are obtained.The proof is based on comparison Langlands-Shahidi method and Mok's endoscopic classification quasisplit unitary groups.ށ ×
Journal Article On Residual Cohomology Classes Attached to Relative Rank One Eisenstein Series for the Symplectic Group Get access Neven Grbac, Grbac 1Department of Mathematics, University Rijeka, Omladinska 14, 51000 Croatia Correspondence be sent to: neven.grbac@math.uniri.hr Search other works by this author on: Oxford Academic Google Scholar Joachim Schwermer 2Faculty Vienna, Nordbergstrasse 15, A-1090 Austria,3Erwin Schrödinger International Institute Mathematical Physics,...
Let $G=Sp_4/k$ be the $k$-split symplectic group of $k$-rank 2, where $k$ is a totally real number field. In this paper we compute Eisenstein cohomology $G$ with respect to any finite–dimensional, irreducible, $k$-rational representation $E$ $G_\infty =R_{k/\mathbb {Q}}G(\mathbb {R})$, $R_{k/\mathbb {Q}}$ denotes restriction scalars from $\mathbb {Q}$. This approach based on work Schwermer regarding for $Sp_4/\mathbb {Q}$, Kim's description residual spectrum $Sp_4$, and Franke filtration...
The Franke filtration is a finite of certain spaces automorphic forms on the adèlic points reductive linear algebraic group defined over number field whose quotients can be described in terms parabolically induced representations.Decomposing space according to their cuspidal support, made more explicit.This paper describes explicitly supported maximal proper parabolic subgroup, that is, representation its Levi factor.Such explicit description important for applications computation...
Abstract. This paper is concerned with the residual spectrum of hermitian quaternionic classical groups G ′ n and H defined as algebraic for a quaternion algebra over an number field. Groups are not quasi-split. They inner forms split SO 4 Sp . Hence, parts obtained in this compared to corresponding
Abstract The automorphic cohomology of a reductive ℚ-group G , defined in terms the spectrum captures essential analytic aspects arithmetic subgroups and their cohomology. subspace spanned by all possible residues principal values derivatives Eisenstein series, attached to cuspidal forms π on Levi factor proper parabolic ℚ-subgroups which is natural complement We show that non-trivial classes can only arise if point evaluation features `half-integral' property. Consequently, behavior...
The part of the residual spectrum an inner form split group <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S p 8"> <mml:semantics> <mml:mrow> <mml:mi>S</mml:mi> <mml:msub> <mml:mi>p</mml:mi> <mml:mn>8</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">Sp_8</mml:annotation> </mml:semantics> </mml:math> </inline-formula> supported in minimal parabolic subgroup is decomposed. Since considered not...
In this paper we decompose the residual spectrum supported in minimal parabolic subgroup of an inner form split group SO 8 .The approach is Langlands spectral theory.However, since non-quasi-split, it out scope Langlands-Shahidi method and new technique for normalization standard intertwining operators developed.The decomposition shows interesting parts not appearing case quasi-split groups.
The endoscopic classification and the Langlands spectral theory are two approaches to discrete spectrum of group adèlic points a reductive linear algebraic defined over number field.The view on same object yield interesting consequences.In this paper, case general spin is considered.In that case, it shown how comparison implies twisted symmetric exterior square complete automorphic L-functions associated cuspidal representation holomorphic in critical strip.
Abstract The cohomology of an arithmetic congruence subgroup a connected reductive algebraic group defined over number field is captured in the automorphic that group. residual Eisenstein by definition part represented square-integrable residues series. existence classes depends on subtle combination geometric conditions (coming from cohomological reasons) and terms analytic properties L -functions study poles series). Hence, there are almost no unconditional results literature regarding...