Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Katz type p-adic L-functions for primes p non-split in the CM field   For every triple F,K,p where F is a classical elliptic eigenform, K is a
quadratic imaginary field and p> 3 is a prime integer which is not split in K,
we attach a p-adic L function which interpolates the algebraic parts of the
special values of the complex L-functions of F twisted by certain algebraic
Hecke characters of K. This construction extends a classical construction of N.
Katz, for F an Eisenstein series and of Bertolini-Darmon-Prasana, for F a
cuspform, when p is split in K.
  Moreover we prove a Kronecker limit formula, respectively p-adic Gross-Zagier
formulae for our newly defined p-adic L-functions.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio