Results 51 to 60 of about 118 (89)

Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley   +1 more source

Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros, Changho Han, Oana Padurariu, Sun Woo Park   +3 more
wiley   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Solving the n $n$‐Player Tullock Contest

Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley   +1 more source

Virasoro blocks and quasimodular forms

Journal of High Energy Physics, 2020
We analyse Virasoro blocks in the regime of heavy intermediate exchange (h p → ∞). For the 1-point block on the torus and the 4-point block on the sphere, we show that each order in the large-h p expansion can be written in closed form as polynomials in ...
Diptarka Das, Shouvik Datta, Madhusudhan Raman   +2 more
doaj   +1 more source

Modular invariant gluon-graviton scattering in AdS at one loop

Journal of High Energy Physics
We consider mixed gluon-graviton scattering in Type IIB string theory on AdS5 × S 5/ℤ 2 in the presence of D7 branes, which is dual to a mixed correlator of the SO(8) and SU(2) L flavor multiplets of a certain 4d N $$ \mathcal{N} $$ = 2 USp(2N) gauge ...
Shai M. Chester, Pietro Ferrero, Daniele R. Pavarini   +2 more
doaj   +1 more source

Lo schermo come quadrato dinamico e l’architettura di vetro

Rivista di Estetica, 2014
In a phase of the history of film and media theories, such as ours, characterised by an intense debate about the notions of medium and dispositif, going back to authors such as Dziga Vertov and Sergei M. Eisenstein, Siegfried Kracauer and Walter Benjamin,
Antonio Somaini
doaj   +1 more source

Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8

Open Mathematics
In this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered.
Jin Seokho, Park Ho
doaj   +1 more source

Higher d Eisenstein series and a duality-invariant distance measure

Journal of High Energy Physics
The Petersson inner product is a natural inner product on the space of modular invariant functions. We derive a formula, written as a convergent sum over elementary functions, for the inner product E s (G, B) of the real analytic Eisenstein series $${E}_{
Nathan Benjamin, A. Liam Fitzpatrick
doaj   +1 more source