• Untrodden pathways in the theory of the restricted partition function p(n,N 

  Dixit, Atul; Eyyunni, Pramod; Maji, Bibekananda; Sood, Garima (Cornell University Library, 2018-12)
• Sturm-Picone theorem for fractional nonlocal equations 

  Tyagi, Jagmohan (Cornell University Library, 2018-11)
• A note on certain Tannakian group schemes 

  Amrutiya, Sanjay (Cornell University Library, 2018-10)

  In this note, we prove that the F-fundamental group scheme is birational invariant for smooth projective varieties. We prove that the F-fundamental group scheme is naturally a quotient of the Nori fundamental group scheme. ...
• The generalized modified Bessel function Kz,w(x) at z=1/2 and Humbert functions�, 

  Kumar, Rahul (Cornell University Library, 2018-10)

  Recently Dixit, Kesarwani, and Moll introduced a generalization Kz,w(x) of the modified Bessel function Kz(x) and showed that it satisfies an elegant theory similar to Kz(x). In this paper, we show that while K12(x) is an ...
• Moduli of filtered quiver representations 

  Amrutiya, Sanjay; Dubey, Umesh (Cornell University Library, 2018-08)

  In this note, we give a construction of the moduli space of filtered repre- sentations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered ...
• Zeros of partial sums of L-functions 

  Vatwani, Akshaa; Roy, Arindam (Cornell University, 2018-07)

  We consider a certain class of multiplicative functions f:N→C. Let F(s)=∑∞n=1f(n)n−s be the associated Dirichlet series and FN(s)=∑n≤Nf(n)n−s be the truncated Dirichlet series. In this setting, we obtain new Hal\'asz-type ...
• Moh's example of algebroid space curves 

  Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-07)
• Partition implications of a new three parameter q-series identity 

  Dixit, Atul; Maji, Bibekananda (Cornell University Library, 2018-06)

  A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's second and third notebooks is obtained. As a consequence, we derive a new three-parameter identity which is a rich source ...
• Symmetric numerical semigroups formed by concatenation of arithmetic sequences 

  Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-05)

  Given integer e?4, we have constructed a class of symmetric numerical semigroups of embedding dimension e and proved that the cardinality of a minimal presentation of the semigroup is a bounded function of the embedding ...
• Frobenius number and minimal presentation of certain numerical semigroups 

  Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-02)

  Suppose e≥4 be an integer, a=e+1, b>a+(e−3)d, gcd(a,d)=1 and d∤(b−a). Let M={a,a+d,a+2d,…,a+(e−3)d,b,b+d}, which forms a minimal generating set for the numerical semigroup Γe(M), generated by the set M. We calculate the ...
• Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for ζ(2m+1) 

  Dixit, Atul; Gupta, Rajat; Kumar, Rahul; Maji, Bibekananda (Cornell University Library, 2018-01)

  A comprehensive study of the generalized Lambert series ∑n=1∞nN−2hexp(−anNx)1−exp(−nNx),0<a≤1, x>0, N∈N and h∈Z, is undertaken. Two of the general transformations of this series that we obtain here lead to two-parameter ...
• Betti numbers of Bresinsky's curves in A4 

  Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-01)

  Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness ...
• Zeros of combinations of the Riemann ?-function and the confluent hypergeometric function on bounded vertical shifts 

  Dixit, Atul; Kumar, Rahul; Maji, Bibekananda; Zaharescu, Alexandru (Cornell University Library, 2017-12)
• An inhomogeneous Jacobi equation for minimal surfaces and a perturbative change of Holographic Entanglement Entropy 

  Ghosh, Avirup; Mishra, Rohit (Cornell University Library, 2017-10)

  The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS are obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal ...
• Lyapunov type inequality for extremal Pucci's equations 

  Tyagi, Jagmohan; Verma, Ram Baran (Cornell University Library, 2017-06)
• A generalized modified Bessel function and a higher level analogue of the theta transformation formula 

  Dixit, Atul; Kesarwani, Aashita; Moll, Victor H.; Temme, Nico M. (Cornell University Library, 2017-06)
• Transversal intersection of polynomial ideals 

  Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Cornell University Library, 2017-05)
• Regular sequences from determinantal conditions 

  Saha, Joydip; Sengupta, Indranath; Tripathi, Gurab (Cornell University Library, 2017-03)
• On nth class preserving automorphisms of n-isoclinism family 

  Kour, Surjeet (Cornell University Library, 2017-01)

  Let G be a finite group and M,N be two normal subgroups of G. Let AutMN(G) denote the group of all automorphisms of G which fix N element wise and act trivially on G/M. Let n be a positive integer. In this article we have ...
• Sums of squares and products of Bessel function 

  Dixit, Atul; Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru (Cornell University Library, 2017-01)

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